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http://www.archive.org/details/barlowstablesofsOObarlrich

UNDER THE SUPERINTENDENCE OF THE SOCIETY FOK THE DIFFUSION OF USEFUL KNOWLEDGE

BARLOW'S TABLES

or

SQUARES

CUBES

SQUARE ROOTS

CUBE ROOTS

RECIPROCALS

OF ALL INTEGER NUMBERS UP TO

10,000

STEREOTYPE EDITION EXAMINED AND CORRECTED

LONDON TAYLOR AND WALTON

BOOKSELLERS AND PUBLISHERS TO UNIVERSITY •28 rPPEfi tfOWER STREF.T MDCCCXL

fiUyJ. Mi-J^Ol.

LONDON :

PRINTED BY MOYES AND BARCLAY, CASTJ.E kTKEET,

LEICESTER SQUARE.

&A44

63

PREFACE.

This reprint of Mr. Barlow's Tables, as well as that of Lalande which pre- ceded it, was suggested by me to the Society for the Diffusion of Useful Knowledge on two grounds. The intrinsic merit of both works made me desirous of seeing them printed in a better type than any in which they had ever appeared ; added to which, the latter could only be procured from abroad, and the former was wholly out of print. In the second place, I had long been satisfied, that the old numeral symbols, in which most of the figures had beads or tails, were many times more legible than those of uniform height, introduced, I believe, by Dr. Hutton. From the time when the reprint of Lalande appeared (about twelve months ago) I have heard no one contest this position ; and the present work will shew that it is as true of a heavy page (as the printers call it) as of one in which there are fewer figures.

At the same time, I cannot claim any credit whatever for the accuracy with which either work has been examined and corrected, except that of knowing where to find those who could do both much better than myself. Mr. Farley, of the Nautical Almanac Office, is answerable for the work on these points : and I feel very sure, that the large number of computers to whom it will prove useful will admit his skill and accuracy ; though it must take years of trial and use of the tables to establish their freedom from error.

Mr. Barlow's Tables, containing those now published and many others, appeared in 1814; and, considering that they were not stereotyped, do great credit to the printer, (T. Davison, Lombard Street, Whitefriars). The obligations of mathematicians to the author, for the extent and accuracy, both unprecedented, of his work, have been frequently expressed. This republication (respecting the separate copyright of which an arrange- ment has been made by the publishers with Mr. Barlow) omits the tables which are of use only to the mathematician, and contains those which are wanted by the arithmetician and computer. They will be found useful to the more scientific class of engineers and surveyors for immediately obtaining results which are now usually got by logarithmic calculation or the sliding rule ; to actuaries (in the table of reciprocals) ; to school- masters, for obtaining examples of the ordinary rules of arithmetic ; to all, in fact, who are calculators by choice or necessity, though, of course, to some more than to others.

The process of printing has been as follows: — From and after the number 1250 the proofs were first set up from Barlow's Tables, with which they were carefully read. The squares and cubes were then com- pletely examined by second and third differences, and the remaining tables by the same method, as far as second differences. When a second

97^

IV PREFACE.

difference appeared to indicate any probability of error it was itself ex- amined by the proper one of the following formulae,

Aa- =

x (x + 1)'

which give the same order of correctness as would arise from using the first two terms of the general theorem,

A2<p# = <p"x (A xf + <p'"x(Ax)3 + ....

and are abundantly sufficient for the purpose. When there seemed the least chance of an error of more than a unit in the last place, the square or cube root was itself examined ; and, in the case of the reciprocal, this was done when there appeared any chance of so much as a unit of error in the last place. Consequently, after 1250, there is remaining a possi- bility of any of the last figures being a unit wrong in the columns of square and cube roots ; that is to say, the ninth figure may be wrong by a unit, or the whole result by less than one part out of a thousand millions in the cube root, and less than the third part of that quantity in the square root; and even this proportion continually diminishing as we go towards the end of the table.

The sheets were then corrected and stereotyped, and an impression from the stereotype plates read with the copy of Barlow as corrected by the former examination. The progression of all leading figures was then examined, imperfect figures marked, and the stereotype proof returned for press.

The squares and cubes of all numbers under 1250 were of course examined as above described, and the square and cube roots by halving, &c. the proper roots of numbers above 1250. An error of a unit in the last place can therefore hardly exist in this part of the table, though it is barely possible in numbers not much below 1250. The reciprocals of numbers between 1000 and 1250 were examined by second differences, and those from 1 to 999 by the reciprocals of the corresponding decads.

The list of errors detected in Mr. Barlow's work is subjoined; it is very small, considering that there are upwards of half a million of figures subject to error. It will be found that those figures which, in the common way of printing them, are most distinct from the rest, have fewest errors made in them. Though every care has been taken to designate this list properly, yet there is still reason to fear that the tribe of careless persons who look upon three pages of a book, and talk as if they had examined it, will go away with the impression that it is a list of errata in the present volume.

I cannot ascertain that any tables of square roots, cube roots, or recipro- cals, comparable in extent to those of Mr. Barlow, were ever printed before his. The tables of squares and cubes up to 10,000 were printed by Guldinus in 1635, by J. P. Buckner (according to Murhard) in 1701, and by Seguin in 1801. The cubes to 100003, and the squares up to 254002, by Dr. Hutton, were published by the Board of Longitude in 1781.

A. DE MORGAN.

University College^ Dec. 23, 1839.

	ERRORS DISCOVERED
	IN THE	ORIGINAL TABLES
Dl Square	'RING THE PREPARATION OF THIS EDITION
		Square Root
of 3416	for 9066 reao	9056	of 138 for 3444 read	34oi
5749	0001	IOOI	"35 5568	5668
6298	43°4	4804	H39 '538	1535
6807	4623	4633	2454 8043	8643
6834	5556	3556	3252 87*02	57-02
7124	1876	1376	3940 4103	4193
7126	9376	9876	4515 7494	7497
7152	1004	1 104	4894 1397	1297
7419	1501	1561	6266 0097	0697
7456	1939	1936	6371 *8i55	•8185
7603	5809	5609	7597 776o	7710
8005	9025	0025	9585 '8030	•9030
8008	3064	8064	9586 -8081	•9081
8750	1500	2500	9587 '8132	•9132
Cube			Cube Root
of 1442 1727 2668 2736	3098 7383 1999 4236	2998 7583 1899 4256	of 936 2946 3779 747o 3940 2493 4809 16-57	1946 7610 2403 16-87
2797	5673 3256	5573 9256	4962 2398	3298
3111 3128	6285 4768	4778
0553	5553	6361 5865	8565
359°	9900	9000
3701	OIOI	IIOI	Reciprocal
4077	4553	4533
4775	4385	4375	of 1043 7738	7728
55i8	7832	1832	1973 7424	8424
5664	1849	1949	2414 2552	2502
5673	6756	3756	2489 1678	7678
5678	6752	575*	2822 3856	3586
5681	5723	4723	3349 5936	5966
7362	1236	1336	345o 8531	855i
7562	2423	2422	4815 4684	7684
8154	0886	0836	4855 9°59	2059
8438	2283	4283	49*3 54i8	5416
8450	1225	1125	5387 532i	6321
8472	0818	0048	5525 *995	0995
8501	7775	1775	6170 1746	0746
8528	146 1	140 1	6600 5145	5152
8724	7749	7727	7563 2223	2227
9389	5388	53o8	8352 7315	73i8
9456	8081	9081	8899 3775	3722
9499	3849	7849	8985 3066	2966
9572	8760	8770	9023 8289	8279
9672	2468	2448	9297 5816	5616
9737	5553	8553	9573 4805	4605
9738	8272	5272	9965 35H	35"
9760	7000	6000

REMARKS.

The division of the squares and cubes into pairs and triads is intended to facilitate tbe formation of squares and cubes of decimal quantities. The alteration of the unit's place by a figure must be followed by annexing or cutting off a pair in the square, or a triad in the cube. The same in the reciprocal must be followed by prefixing or cutting off a cipher. But to form the square or cube root of a decimal, nothing but pairs or triads must be cut off from the figures of the first column. The following list will shew what sort of results may be gained by simple inspection of the tables for the significant figures 234.

Number.	Square.	Cube.
•00234	•00 00 05 47 56	000 000 012 812 904
•0234	•00 05 47	56 ;	000 012 812 904
•234	•05 47 56		■012 812 904
2*34	5*47 56	12	-812 904
23-4	5 4y56	12 8l2	•904
234	5 47 56	12 8l2 904
2340	5 47 56 00	12 8l2 9O4OOC	1
23400 547560000 12 812 904 000 00c	»
Number.	Square Root.	Cube Root.	Reciprocal.
•00234	* '0483735465	f -132761439	427'3504
•0234	•152970585	§•284	42*73504
•2340	•483735465	•6 1 62240 1	4*273504
2-34	1-52970585	1-32761439	•4273504
23-40	4*83735465	2-860	•04273504
»34	15-2970585	6-1622401	•004273504
2340	48-3735465	13-2761439	•0004273504
23400	152-970585	28-60	•00004273504

• Derived from KK) 23 40 by means of 2340.

t Derived from -002 340 by means of 2340.

§ The nearest result by simple inspection is obtained for '023 by 23. But four places correct can always be obtained by looking in the table of cubes for the nearest triad or triads, in this instance for 23 400; the cube beginning with the figures 23393 is that of 2860, whence '2860 is true to the last place, and is afterwards substituted, vi

SQUARES,

CUBES,

SQUARE ROOTS,

CUBE ROOTS, RECIPROCALS,

OF ALL INTEGER NUMBERS UP TO

10,000.

Num	Square.	Cube.	Squ. Root.	Cube Root.	Reciprocal.
2 3	4 9	1 8 27	1 • 0000000 1*4142136 1-7320508	i-ooooooo 1-2599210 1-4422496	1 "ooooooooo 0-500000000 '333333333
4 5 6	16 *5 36	64 125 216	2 -0000000 22360680 24494897	1-5874011 1-7099759 1-8171206	-250000000 •200000000 •166666667
7 8 9	49 64 81	343 729	2-6457513 2-8284271 3-0000000	1-9129312 2*0000000 2-0800837	•142857143 -125000000 •iniiiiii
IO ii 12	1 00 1 21 144	1 000 i33i 1728	3-1622777 3-3166248 3*4641016	2-1544347 2*2239801 2-2894286	* 1 00000000 •090909091 '083333333
13 15	169 1 96 225	2197 2744 3 375	3-6055513 3-7416574 3-8729833	2-3513347 2-4101422 2*4662121	•076923077 •071428571 •066666667
16 17 18	2 56 289 3 24	4096 49*3 5832	4-0000000 4-1231056 4-2426407	25198421 25712816 2-6207414	•062500000 •058823529 •055555556
'9 20 21	3 61 400 441	6859 8 000 9261	4-3588989 4-4721360 4^825757	26684016 27144177 2*7589243	•052631579 •050000000 •047619048
22 23 24	484 529 576	10648 12 167 13824	4-6904158 4-79583I5 4-8989795	28020393 28438670 2*8844991	•045454545 •043478261 -041666667
25 26 27	625 676 729	15625 17576 19683	5-0000000 5-0990195 5-1961524	2-9240177 2-9624960 3-0000000	•040000000 •038461538 •037037037
28 29 30	784. 841 900	21952 24389 27 000	5-2915026 5-3851648 5-4772256	3-0365889 3*0723168 3-1072325	•035714286 •034482759 '033333333
3i 32 33	961 1024 10 89	29791 32 768 35937	5-5677644 5-6568542 5*7445626	3-1413806 3-1748021 3-2075343	•032258065 •031250000 •030303030
34 35 36	11 56 12 25 12 96	39 3°4 42875 46 656	5-8309519 5-9160798 6-ccooooo	3-2396118 32710663 33019272	•02941 1765 •028571429 •027777778
37 38 39	1369 1444 1521	5o653 54871 59 319	6-0827625 6-1644140 6-2449980	3-3322218 3*3619754 3-3912114	•027027027 •026315789 •025641026
40 42	1600 1681 1764	64000 68921 74088	6-3245553 6-4031242 6-4807407	3-4199519 3-4482172 3-4760266	•025000000 •024390244 •023809524
43 44 45	1849 1936 2025	79507 85 184 91 1*5	6-5574385 6-6332496 6-7082039	3-5033981 3-5303483 3-5568933	•023255814 •022727273 •022222222
46 47 48	21 16 2209 2304	97336 103 823 no 592	6-7823300 6-8556546 6-9282032	3-5830479 3-6088261 3-6342411	•021739130 •021276600 •020833333
49 5o	2401 2500	117 649 125000	7-0000000 7-0710678	3-6593057 3-6840314	•020408163 •02000C000

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Reciprocal.
5« 53	2601 2704 28 09	132 651 140 608 148 877	7-1414284 72111026 72801099	37084298 37325111 3*7562858	•019607843 •019230769 •018867925
54 55 56	29 16 3025 3136	1 57 464' 166375 I756i6	73484692 74161985 7*4833148	3-7797631 38029525 38258624	•018518519 •018181818 •017857143
57 58 59	3*49 33 64 34.81	185 193 195 112 205 379	75498344 76157731 7*6811457	38485011 38708766 3*8929965	•017543860 •017241379 •016949153
60 61 62	3600 3721 3844	216 oco 226 981 238 328	77459667 78102497 7*8740079	39148676 39364972 3'95789i5	•016666667 •016393443 •016129032
63 64 65	39 69 4096 4225	250047 262 144 274625	7-9372539 8-ococooo 8*0622577	39790571 40000000 4*0207256	•015873016 •015625000 •01 5384615
66 67 68	43 56 4489 4624	287496 300763 314432	81240384 81853528 8*2462113	40412401 4-0615480 40816551	•015151515 •014925373 •014705882
69 70 7i	47 Ol 4900 5041	328 509 343 c°o 3579"	83066239 83666003 8*4261498	41015661 41212853 4*1408178	•014492754 •014285714 •014084507
72 73 74	5184 5329 5476	375 248 389017 405224	84852814 85440037 8*6023253	41601676 41793392 4*1983364	•013888889 •013698630 •013513514
75 76 77	5625 5776 5929	421875 438976 456533	86602540 87177979 8*7749644	42171633 42358236 4*2543210	•013333333 •013157895 •012987013
78 79 80	6084 6241 6400	474 552 493039 512 000	88317609 88881944 8-9442719	42726586 42908404 4*3088695	•012820513 •012658228 •012500000
81 82 83	6561 6724 6889	53i44i 551368 571787	9* 0000000 9*0553851 9-1104336	43267487 43444815 4*3620707	'012345679 •012195122 •012048193
84 85 86	7056 7225 7396	592 704 614 125 636 056	91651514 92195445 9-2736185	437959I 43968296 44140049	•011904762 •011764706 •011627907
87 88 89	7569 77 44 7921	658 5°3 681 472 704969	9-3273791 93808315 94339811	44310476 4'44796o2 4464745 J	•01 1494253 •011363636 •011235955
90 91 92	8100 8281 8464	729 000 753 571 778688	94868330 95393920 9*5916630	44814047 44979414 4*5143574	•oiiiiiiii •010989011 •010869565
93 94 95	8649 8836 9025	8o4 357 830584 857 375	9-6436508 96953597 97467943	453o6549 45468359 4-5629026	•010752688 •010638298 •010526316
96 97 98 99 100	92 16 9409 9604	884736 912673 941 192	97979590 98488578 9*8994949	45788570 45947009 4-6104363	•010416667 •010309278 •010204082
9801 1 0000	970 299 1 000 000	99498744 100000000	46260650 46415888	•oioioioio •oiooocooo

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •00
IOI I02 103	1 0201 1 04 04 1 0609	1 030 301 1 061 208 1 092 727	100498756 100995049 10*1488916	46570095 46723287 4*6875482	9900990 9803922 9708738
104 105 106	108 16 1 1025 1 12 36	1 124864 1 157625 1 191 016	101980390 102469508 10*2956301	47026694 47176940 4*7326235	9615385 9523810 9433962
107 108 109	1 1449 1 16 64 1 1881	1 225 043 1 259 712 1 295029	103440804 103923048 10*4403065	47474594 47622032 4*7768562	9345794 9259259 9174312
no III 112	1 21 00 12321 12544	1 3 3 1 000 1 367 631 1 404928	104880885 105356538 10*5830052	479Hi99 48058955 4*8202845	9090909 9009009 8928571
113 114 "5	12769 1 29 96 1 3225	1 442 897 1 481 544 1520875	106301458 106770783 10*7238053	4834588i 48488076 4*8629442	8849558 8771930 8695652
116 117 118	I34 56 i 3689 13924	1 560896 1 601 613 1 643 032	107703296 108166538 10*8627805	48769990 48909732 4*9048681	8620690 8547009 8474576
119 120 121	1 41 61 14400 1 46 41	1 685 159 1 728 000 1 771 561	109087121 109544512 II'OOOOOOO	49186847 49324242 4*9460874	8403361 8333333 8264463
122 123 124	14884 1 51 29 153 76	1 815 848 1 860 867 1 906 624	110453610 110905365 11*1355287	49596757 49731898 4*9866310	8196721 8130081 8064516
125 126 127	» 56.25 15876 1 61 29	1953 125 2000 376 2048 383	11-1803399 112249722 112694277	50000000 50132979 5*0265257	8000000 7936508 7874016
128 129 130	16384 1 6641 1 6900	2097 152 2 146 689 2 197 000	113137085 113578167 11*4017543	50396842 50527743 5*0657970	7812500 7751938 7692308
131 132 133	17161 17424 1 7689	2248 091 2 299 968 2352637	114455231 114891253 11*5325626	5-0787531 50916434 51044687	7633588 7575758 7518797
134 136	17956 1 8225 1 8496	2 406 104 2460375 2515456	115758369 116189500 11*6619038	51172299 51299278 5*1425632	7462687 7407407 7352941
137 138 139	18769 19044 19321	2 571353 2 628 072 2 685 619	117046999 117473401 11*7898261	5I55I367 51676493 5*1801015	7299270 7246377 7194245
140 141 142	1 9600 19881 2 01 64	2 744 oco 2 803 221 2863288	118321596 118743422 11*9163753	51924941 52048279 5*2171034	7142857 7092199 7042254
'43 144 H5	20449 207 36 2 1025	2 924207 2985 984 3 048 625	119582607 120000000 12*0415946	52293215 52414828 5*2535879	6993007 6944444 6896552
146 147 148	2 13 16 2 1609 21904	3 112 136 3 176523 3 241 792	120830460 121243557 i2*i6<- 1-251	52656374 52776321 5*2895725	6849315 6802721 6756757
149 150	2 220 1 22500	3 3°7 949 3375000	122065556 122474487	5-3014592 5*3132928	67 1 1409 6666667

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •00
W1 152 153	228 01 2 31 04 23409	3442951 3 511 808 3 58i577	122882057 12-3288280 123693169	5-3250740 5*3368033 5-3484812	6622517 6578947 6535948
154 155 156	237 16 24025 2 43 36	3 652 264 3723875 3796416	12-4096736 12-4498996 12-4899960	5-3601084 5-3716854 5-3832126	64935o6 6451613 6410256
»57 158 »59	24649 24964 2 52 81	3869893 3 944 312 4019679	12-5299641 12-5698051 12-6095202	5-3946907 5-4061202 5*4175015	6369427 6329114 6289308
160 161 162	2 56 00 25921 2 6244	4 096 000 4173281 4251 528	12*6491106 12-6885775 12-7279221	5-4288352 5-4401218 5-4513618	6250000 6211180 6172840
163 164 165	2 65 69 26896 27225	4 33° 747 4410944 4492 125	12-7671453 12-8062485 12-8452326	54625556 54737037 5-4848066	6134969 6097561 6060606
166 167 168	2 75 56 27889 2 8224	4 574 296 4657463 4741632	12-8840987 12-9228480 12*9614814	5-4958647 5*5068784 5-5178484	6024096 5988024 5952381
169 170 171	28561 2 8900 29241	4826 809 4913 000 5 000 211	13-0000000 13-0384048 13-0766968	5-5287748 5*5396583 5-5504991	5917160 5882353 5847953
172 173 174	2 95 84 29929 302 76	5088448 5 I777I7 5 268024	13-1148770 13-1529464 13-1909060	5-5612978 5-5720546 5-5827702	5813953 5780347 5747126
175 176 177	3 0625 309 76 3 n29	5 359 375 5451776 5 545 233	13-2287566 13-2664992 13-3041347	5*5934447 5-6040787 5-6146724	5714286 5681818 5649718
178 179 180	31684 32041 3 2400	5639752 5 735 339 5 832000	13-3416641 13-3790882 13-4164079	5-6252263 5-6357408 5-6462162	5617978 5586592 5555556
181 182 183	32761 3 3124 3 34 89	5929741 6028568 6 128487	i3'453624o 13-4907376 H'5277493	5*6566528 5-6670511 5-6774114	5524862 54945°5 5464481
184 185 186	3 38 56 3 42 25 3 45 96	6 229 504 6331625 6434856	13-5646600 13-6014705 13-6381817	5-6877340 5-6980192 5-7082675	5434783 5405405 5376344
187 188 189	3 49 69 35344 35721	6539203 6 644 672 6 751 269	13-6747943 13-7113092 13-7477271	5784791 5-7286543 5*7387936	5347594 53949 5291005
190 191 192	3 61 00 36481 36864	.6 859000 6967 871 7077888	13-7840488 13*8202750 13-8564065	5-7488971 5-7589652 5-7689982	5263158 5235602 5208333
193 194 *95	3 72 49 37636 3 8025	7189057 7301384 74H875	13-8924440 13-9283883 13-9642400	5-7789966 5-7889604 5-7988900	5181347 5154639 5128205
196 197 198	38416 38809 39204	7529536 7 645 373 7762392	14-0000000 14-0356688 14-0712473	5-8087857 5-8186479 5*8284767	5102041 5076142 5050505
199 200	39601 40000	7880599 8 000 000	14-1067360 14-1421356	5-8382725 5-8480355	5025126 5000000

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. -00
20 1 202 203	40401 4 08 04 4 1209	8 120 601 8 242 408 8365427	141774469 142126704 14-2478068	5-8577660 5-8674643 5-8771307	4975J24 4950495 4926108
204 205 206	4 16 16 42025 42436	8489664 8 615 125 8 741 816	14-2828569 14-3178211 14-3527001	5-8867653 5-8963685 5-9059406	4901961 4878049 4854369
207 208 209	42849 43264 43681	8 869 743 8 998 912 9 129 329	14-3874946 14-4222051 14-4568323	5-9154817 5-9249921 5*9344721	4830918 4807692 4784689
210 211 212	441 00 44521 44944	9261 000 9 393 931 9 528 128	14-4913767 14*525839° 14-5602198	5-9439220 5*95334i8 5-9627320	4761905 4739336 4716981
213 214 215	4 53 69 4 57 96 46225	9663597 9 800 344 9 938 375	14*5945195 14-6287388 14-6628783	5-9720926 5-9814240 5-9907264	4694836 4672897 4651163
216 217 218	466 56 47089 4 75 24	10077 696 10218 313 10 360232	14-6969385 14-7309199 14-7648231	6-0000000 6-0092450 6-0184617	4629630 4608295 4587156
219 220 221	47961 48400 48841	10 503 459 10 648 000 10793 861	14-7986486 14-8323970 14-8660687	6-0276502 6-0368107 6*0459435	4566210 4545455 4524887
222 223 224	49284 49729 50176	10 941 048 11 089 567 1 1 239 424	14*8996644 14-9331845 14-9666295	6-0550489 6-0641270 6-0731779	4504505 4484305 4464286
225 226 227	50625 5 1076 5 1529	11 390625 11 543 176 11 697083	15-0000000 15-0332964 15-0665192	6*0822020 6-09 1 1994 6-1001702
4424779 4405286
228 229 230	519H 52441 5 29 00	"852352 12008 989 12 167 000	15-0996689 15-1327460 15-1657509	6-1091147 61180332 61269257	4385965 4366812 4347826
231 232 233	5336i 53824 54289	12 326 391 12487 168 12649337	15-1986842 15-2315462 i5*2643375	61357924 6-1446337 61534495	4329004 4310345 4291845
234 235 236	5 47 56 55225 55696	12 812904 12977875 13 144.256	15-2970585 i5'3297°97 15-3622915	61622401 61710058 6-1797466	4273504 4255319 4237288
237 238 239	56169 56644 5 71 21	13 312053 13481 272 13651919	15-3948043 15-4272486 15-4596248	6-1884628 6-1971544 6-2058218	4219409 4201681 4184100
240 241 242	5 76 00 58081 58564	13 824000 13 997 521 14 172488	I549I9334 15-5241747 155563492	6-2144650 62230843 62316797	4166667 4149378 4132231
M3 244 245	59049 5 95 36 60025	14348907 14 526 784 14706 125	!5*5884573 15-6204994 15-6524758	6*2402515 6-2487998 6-2573248	4115226 4098361 • 4081633
246 247 248	605 16 6 1009 6 15 04	14886936 15 069 223 15252992	15-6843871 15-7162336 15-7480157	6-2658266 62743054 62827613	4065041 4048583 4032258
249 250	6 2001 625 00	15438249 15 625 000	15-7797338 15-8113883	6-2911946 6-2996053	4016064 4000000

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •00
251 252 253	6 3001 63504 6 4009	15813251 16003 o°8 16 194277	158429795 158745079 15*9059737	63079935 63163596 6*3247035	3984064 3968254 3952569
254 255 256	645 16 6 5025 65536	16 387 064 16 581 375 16 777216	I5-9373775 159687194 160000000	63330256 6-3413257 63496042	3937oo8 3921569 3906250
257 258 259	6 6049 6 65 64 67081	16974593 17 173 512 17 373 979	160312195 160623784 16*0934769	63578611 6366096$ 6*3743111	3891051 3875969 3861004
260 261 262	6 7600 68121 68644	17 576000 17 779 581 17984728	16-1245155 161554944 161864141	63825043 63906765 6*3988279	3846154 3831418 3816794
263 264 265	691 69 69696 70225	18 191 447 18 399 744 18 609 625	162172747 162480768 16*2788206	6-4069585 64150687 64231583	3802281 3787879 3773585
266 267 268	70756 7 12 89 71824	18 821 096 19 034 163 19 248 832	163095064 163401346 16*3707055	64312276 64392767 6'4473057	3759398 3745318 3731343
269 270 271	7 23 61 7 2900 7 3441	19465 109 19 683 000 19 902 511	164012195 164316767 16*4620776	64553148 64633041 6*4712736	3717472 3703704 3690037
272 273 274	7 39 84 7 45 29 75076	20 123 648 20346417 20 570 824	16*4924225 16-5227116 I6-5529454	6-4792236 6-4871541 6-4950653	3676471 3663004 3649635
275 276 277	75625 76176 76729	20796 875 21 024 576 21253933	16-5831240 16-6132477 16-6433170	6-5029572 65108300 65186839	3636364 3623188 3610108
278 279 280	77284 77841 7 8400	21484952 21717639 21 952 000	166733320 167032931 16*7332005	65265189 6'534335i 65421326	3597122 3584229 3571429
281 282 283	78961 7 95 24 80089	22 188 041 22425 768 22665 187	16*7630546 16-7928556 16-8226038	6-5499116 6*5576722 6-5654144	3558719 3546099 3533569
284 285 286	80656 8 1225 81796	22 906 304 23 149 125 23393656	16-8522995 168819430 169115345	6-5731385 6*5808443 6-5885323	3521127 3508772 3496503
287 288 289	823 69 82944 83521	23 639 903 23887872 24137569	169410743 169705627 17*0000000	6-5962023 6*6038545 6-6114890	3484321 3472222 3460208
290 291 292	841 00 84681 8 5264	24 389000 24642 171 24897088	170293864 170587221 17*0880075	66191060 66267054 6*6342874	3448276 3436426 3424658
293 294 295	85849 86436 87025	25 153 757 25412 184 25672375	17-1172428 171464282 171755640	66418522 66493998 6*6569302	3412969 3401361 3389831
296 297 298	876 16 88209 88804	25 934 336 26 198073 26463 592	172046505 172336879 17*2626765	6-6644437 6-6719403 6*6794200	3378378 3367003 3355705
299 300	8 9401 90000	26 730 899 27 000 000	172916165 173205081	66868831 66943295	3344482 3333333

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •00
•3QI 302 3°3	90601 9 1204 9 18 09	27270901 27 543 608 27 818 127	173493516 173781472 17*4068952	6*7017593 6-7091729 6-7165700	3322259 3311258 3300330
304 305 306	924 16 93025 93636	28 094 464 28 372 625 28652616	!7'4355958 174642492 174928557	67239508 673i3i55 6-7386641	3289474 3278689 3267974
307 308 309	9 42 49 948 64 9 54 8i	28934443 29218 112 29 503 629	175214155 175499288 I7-5783958	67459967 67533i34 6-7606143	3257329 3246753 3236246
310 3" 312	9 61 00 96721 9 73 44	29 791 000 30080231 30371328	17*6068169 17-6351921 17-6635217	6-7678995 6-7751690 6-7824229	3225806 3215434 3205128
3i3 3H 3i5	9 79 69 98596 99225	30664297 30959144 31255875	17*6918060 17-7200451 17-7482393	6-7896613 6-7968844 6-8040921	3194888 3184713 3174603
316 3i7 318	99856 100489 10 11 24	31554496 31855013 32157432	177763888 17-8044938 17-8325545	6*8112847 6-8184620 6-8256242	3164557 3154574 3144654
319 320 321	10 17 61 102400 10 3041	32461759 32 768 000 33 076 161	17-8605711 17-8885438 17-9164729	68327714 68399037 6-8470213	3134796 3125000 3115265
322 3*3 324	10 3684 1043 29 1049 76	33386248 33698267 34012 224	i7'9443584 17*9722008 18-0000000	6-8541240 6-8612120 6-8682855	3105590 3095975 3086420
325 326 327	10 5625 1062 76 106929	34328125 34645976 34965783	18-0277564 18-0554701 18-0831413	6*8753443 6-8823888 6-8894188	3076923 3067485 3058104
328 3*9 330	107584 108241 10 89 00	35287552 35 611 289 35937000	181107703 18-1383571 181659021	68964345 69034359 6-9104232	3048780 30395H 3030303
33i 332 333	1095 61 1 1 02 24 1 1 08 89	36 264691 36 594 368 36926037	181934054 182208672 18-2482876	6-9173964 6-9243556 6-9313008	302 1 148 3012048 3003003
334 335 336	11 15 56 11 22 25 1 1 28 96	37259704 37 595 375 37 933056	18*2756669 18-3030052 18-3303028	6-9382321 6-9451496 6*9520533	2994012 2985075 2976190
337 338 339	11 35 69 11 4244 114921	38272753 38614472 38958219	I8-3575598 18*3847763 18-4119526	69589434 69658198 6*9726826	2967359 2958580 2949853
340 34i 342	11 5600 116281 11 69 64	39 304000 39 651 821 40001 688	184390889 184661853 18*4932420	69795321 69863681 6*9931906	2941176 2932551 2923977
343 344 345	11 7649 11 83 36 11 9025	40353607 40707584 41 063 625	185202592 185472370 18-5741756	70000000 70067962 7-0135791	2915452 2906977 '898551
346 347 348	119716 ' 120409 12 1 1 04	41 421 736 41 781 923 42 144 192	186010752 186279360 18-6547581	7*0203490 7-0271058 7-0338497	2890173 2881844 2873563
349 35°	12 1801 122500	42 5°8 549 42 875 000	18-6815417 18-7082869	7-0405806 7*0472987	2865330 2857143

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •00
351 35* 353	12 3201 12 3904 124609	43M3 55I 43 614208 43986977	18*7349940 7-0540041 18-7616630 7-0606967 18-7882942 1 7-0673767	2849003 2840909 2832861
354 355 356	12 53 16 12 6025 12 67 36	44 361 864 44738 875 45 118 016	18-8148877 18-8414437 18-8679623	7-0740440 7-0806988 7-0873411	2824859 2816901 2808989
357 358 359	127449 12 81 64 128881	45499293 45 882712 46 268 279	18-8944436 18-9208879 18-9472953	7-0939709 7-1005885 7*107^937	2801120 2793296 2785515
360 361 362	12 9600 130321 13 1044	46 656 000 47045881 47 437 928	18-9736660 19-0000000 19-0262976	7-1137866 7-1203674 7*1269360	2777778 2770083 2762431
363 364 365	13 1769 132496 133225	47 832 147 48 228 544 48 627 125	19-0525589 19-0787840 19-1049732	7'i334925 7-1400370 7-1465695	2754821 2747253 2739726
366 367 368	133956 1346 89 13 54 24	49 027 896 49430863 49 836032	19-1311265 19-1572441 19-1833261	7-1530901 7-1595988 7-1660957	2732240 2724796 2717391
369 37o 371	13 61 61 13 6900 137641	50 243 409 50653000 51 064 81 1	19-2093727 19-2353841 19-2613603	7-1725809 7*1790544 7-1855162	2710027 2702703 2695418
372 373 374	138384 13 91 29 13 98 76	51478848 51895117 52313624	19-2873015 19-3132079 19-3390796	7-1919663 7-1984050 7-2048322	2688172 2680965 2673797
375 376 377	1406 25 14 13 76 14 2 1 29	52 734 375 53 157 376 53582633	19-3649167 19-3907194 19-4164878	7-2112479 7*2176522 7-2240450	2666667 2659574 2652520
378 379 380	142884 14 36 41 144400	54010 152 54439 939 54872000	19-4422221 19-4679223 19-4935887	7-2304268 7-2367972 7-2431565	2645503 2638522 2631579
381 382 383	145161 14 59 24 1466 89	55 3o634i 55 742 968 56 181 887	19-5192213 19-5448203 19-5703858	7-2495045 7*2558415 7-2621675	2624672 2617801 2610966
384 385 386	14 74 56 148225 1489 96	56 623 104 57066 625 57512456	I9*5959I79 19-6214169 19-6468827	7-2684824 7-2747864 7-2810794	2604167 2597403 2590674
387 388 389	149769 150544 151321	57 960 603 58 41 1 072 58863869	19-6723156 19-6977156 19-7230829	7-2873617 72936330 72998936	2583979 2577320 2570694
39° 39i 392	15 21 00 152881 153664	59 319000 59 776471 60236288	19-7484177 19-7737199 19-7989899	7-3061436 7-3123828 7*3186114	2564103 2557545 2551020
393 394 395	154449 155236 15 6025	60698 457 61 162984 61 629 875	19-8242276 i9-8494332 19-8746069	7-3248295 73310369 73372339	2544529 2538071 2531646
396 397 398	15 68 16 \| 62099 J3^ 157609 62570773 158404 \| 63044792	19-8997487 19-9248588 19-9499373	7-3434205 7-3495966 7-3557624	2525253 2518892 2512563
399 400	15 9201 63 521 199 1 6 00 00 64 000 000	19-9749844 20-0000000	7-3619178 7-3680630	2506266 2500000

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •00
401 402 403	16 08 01 16 16 04 16 2409	64481 201 64964808 65450827	200249844 20-0499377 200748599	7374i979 73803227 7*3864373	2493766 2487562 2481390
404 405 406	16 32 16 164025 164836	65939264 66430 125 66 923 416	200997512 201246118 20*1494417	73925418 73986363 7*4047206	2475248 2469136 2463054
407 408 409	165649 16 6464 16 72 81	67419 143 67 917 312 68417 929	201742410 201990099 20*2237484	74107950 74168595 7*4229142	2457002 2450980 2444988
410 411 412	1 6 8 1 00 16 89 21 169744	68 921 000 69426531 69934528	202484567 202731349 20*2977831	74289589 74349938 7*4410189	2439024 2433090 2427184
4*3 4H 4i5	170569 17 13 96 17 22 25	70444997 70957944 71473 375	203224014 203469899 20*3715488	74470342 74530399 7*4590359	2421308 2415459 2409639
416 4i7 418	173056 173889 174724	71 991 296 72511713 73°34632	203960781 204205779 20*4450483	74650223 74709991 7*4769664	2403846 2398082 2392344
419 420 421	i7556i 17 6400 17 7241	73560059 74088000 74 618 461	204694895 204939015 20*5182845	74829242 74888724 7*4948ii3	2386635 2380952 2375297
422 423 424	178084 178929 179776	75 151 448 75 686967 76 225024	205426386 205669638 20*5912603	75007406 75066607 7*5i-i57i5	2369668 2364066 2358491
425 426 427	1806 25 18 1476 18 23 29	76 765 625 77 308 776 77854483	206155281 206397674 20*6639783	7-518473° 75243652 75302482	2352941 2347418 2341920
428 429 43°	18 31 84 184041 1849 °°	78402752 78 953 589 79 5°7 00°	206881609 207123152 20*7364414	75361221 75419867 7*5478423	2336449 2331002 2325581
43i 432 433	18 57 61 186624 187489	80062 991 80621568 81 182 737	207605395 207846097 20*8086520	75536888 75595263 7*5653548	2320186 2314815 2309469
434 435 436	188356 18 9225 190096	81746504 82312875 82881856	208326667 208566536 20*8806130	757"743 75769849 7*5827865	2304147 2298851 2293578
437 438 439	1909 69 19 1844 19 27 21	83453453 84027 672 84604 519	209045450 209284495 20*9523268	75885793 75943633 7*6001385	2288330 2283105 2277904
440 441 442	19 3600 194481 195364	85 184000 85 766 121 86350888	209761770 210000000 21*0237960	76059049 76116626 7*6174116	2272727 2267574 2262443
443 444 445	196249 197136 19 8025	86938 307 87528384 88 121 125	210475652 210713075 21*0950231	76231519 76288837 7*6346067	2257336 2252252 2247191
446 447 448	19 89 16 19 9809 20 07 04	88716536 89 314623 89915392	2IIl87I2I 211423745 2I*l66oi05	76403213 76460272 7-6517247	2242152 2237136 2232143
449 450	20 16 01 202500	90 518 849 91 125 000	211896201 j 76574138 2I2I32034 76630943	2227171 2222222

* 2

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •00
45i 452 453	20 3401 20 43 04 20 52 09	91 733 851 92 345 408 92959677	212367606 212602916 21*2837967	7-6687665 7-6744303 7-6800857	2217295 2212389 2207506
454 455 456	20 61 16 20 7025 20 79 36	93576664 94196375 94818816	213072758 213307290 •"•354I565	7-6857328 7-6913717 7*6970023	2202643 2197802 2192982
457 458 459	20 88 49 20 97 64 21 06 81	95 443 993 96071 912 96 702 579	="•3775583 214009346 214242853	7-7026246 7-7082388 7*7138448	2188184 2183406 2178649
460 461 462	21 16 00 21 2521 213444	97 336000 97972 181 98 611 128	214476106 214709106 21-4941853	7-7194426 7-7250325 7*7306141	2173913 2169197 2164502
463 464 465	21 43 69 21 5296 21 6225	99252847 99 897 344 100 544625	215174348 215406592 21*5638587	77361877 77417532 7-7473109	2159827 2155172 2150538
466 467 468	21 71 56 218089 21 9024	101 194696 101 847 563 102 503 232	215870331 216101828 21*6333077	7-7528606 7-7584023 77639361	2145923 2141328 2136752
469 470 47i	21 99 61 22 09 00 22 18 41	103 161 709 103 823 000 104487 in	21*6564078 21-6794834 21-7025344	7*7694620 7-77498oi 7-7804904	2132196 2127660 2123142
472 473 474	22 27 84 22 3729 22 46 76	105 154048 105 823 817 106496424	217255610 21-7485632 217715411	7*7859928 7-79H875 77969745	21 18644 2114165 2109705
475 476 477	22 56 25 2265 76 22 75 29	107 171 875 107850 176 108 53i 333	21-7944947 21-8174242 21-8403297	7-8024538 7-8079254 7-8133892	2105263 2100840 2096436
478 479 480	22 84 84 229441 23 0400	109 215 352 109902239 no 592 OOO	21-8632111 218860686 219089023	7-8188456 7-8242942 7*8297353	2092050 2087683 2083333
481 482 483	23 13 61 23 23 24 23 32 89	in 284641 in 980 168 112678 587	21-9317122 21-9544984 21-9772610	78351688 78405949 7*8460134	2079002 2074689 2070393
484 485 486	234256 235225 23 61 96	113 379904 114084 125 114 791 256	22*0000000 22-0227155 22-0454077	7-8514244 7*8568281 7-8622242	2066116 2061856 2057613
487 488 489	23 71 69 238144 23 91 21	115 501 303 116214272 116 930 169	220680765 220907220 22*1133444	7*8676130 7-8729944 7-8783684	2053388 2049180 2044990
490 491 492	2401 00 24 10 8 1 24 20 64	117 649 OOO 118 370771 119095488	221359436 221585198 22*1810730	7-8837352 7-8890946 7*8944468	2040816 2036660 2032520
493 494 495	243049 2440 36 245025	119 823 157 120553784 121 287 375	22*2036033 22-2261108 22-2485955	78997917 79051294 7*9104599	2028398 2024291 2020202
496 497 498	2460 16 24 70 09 24 80 04	122023 936 122763473 123505992	22-2710575 22*2934968 22-3159136	7'9J57832 7-9210994 7-9264085	2016129 2012072 2008032
499 500	249001 25 00 00	124 25 1 499 125000000	22-3383079 22-3606798	79317104 79370053	2004008 2000000

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •00
501 502 503	25 IOOI 25 20 04 25 3009	125 751 501 126 506008 127 263 527	223830293 22-4053565 224276615	79422931 79475739 7*9528477	1996008 1992032 1988072
504 506	2540 16 255025 25 60 36	128 024064 128 787 625 129 554216	22-4499443 224722051 224944438	79581144 79633743 7*9686271	1984127 1980198 1976285
507 508 509	257049 25 80 64 25 9081	130 323 843 131 096 512 131 872229	225166605 "•5388553 225610283	79738731 79791122 7*9843444	1972387 1968504 1964637
5'° 5" 512	2601 00 26 11 21 262144	132 651 000 133432831 134217 728	225831796 226053091 22*6274170	79895697 79947883 8*0000000	1960784 1956947 1953125
5i3 5H 5i5	26 31 69 2641 96 26 52 25	135005697 i35 796744 136590875	226495033 226715681 22*6936114	80052049 80104032 8*0155946	1949318 J945525 1 94 1 748
516 518	26 62 56 26 72 89 26 83 24	137 388 096 138 188 413 138 991 832	227156334 227376340 22*7596134	80207794 80259574 8*0311287	1937984 1934236 1930502
5i9 520 521	2693 61 27 04 00 27 14 41	J39 798359 140 608 000 141 420761	227815715 228035085 22*8254244	80362935 80414515 8*0466030	1926782 1923077 1919386
522 523 524	27 24 84 273529 274576	142 236 648 143055667 143877824	228473193 228691933 22*8910463	80517479 80568862 8*0620180	1915709 19 12046 1908397
5*5 526 527	275625 27 66 76 277729	144703 125 145 53i 576 146363 183	229128785 229346899 22*9564806	80671432 80722620 8-0773743	1904762 1901141 l897533
528 529 53o	278784 279841 28 09 oc	147 197 952 148035 889 148 877 000	229782506 230000000 23*0217289	80824800 80875794 8*0926723	1893939 1890359 1886792
53i 532 533	28 19 61 28 3024 28 40 89	149 721 291 150568768 151419437	230434372 230651252 23*0867928	80977589 81028390 8*1079128	1883239 1879699 1876173
534 535 536	285156 28 6225 28 72 96	152273 3°4 I53i30375 153 990656	231084400 231300670 23*1516738	81129803 81180414 8*1230962	1872659 1869159 1865672
537 538 539	288369 289444 2905 21	154854 i53 155720872 156 590 819	231732605 231948270 23*2163735	81281447 81331870 8*1382230	1862197 1858736 1855288
540 54i 542	29 1600 2926 81 29 37 64	157464000 158 340421 159 220088	232379001 232594067 23*2808935	81432529 81482765 8*1532939	1851852 1848429 1845018
543 544 545	29 48 49 29 59 36 29 7025	160 103 007 160989 184 161 878625	233023604 233238076 23*3452351	81583051 81633102 8*1683092	1841621 1838235 1834862
546 547 548	2981 16 299209 3003 04	162 771 336 163 667 323 164 566 592	233666429 233880311 23*4093998	81733020 81782888 8-1832695	1831502 1828154 1824818
549 55°	30 1401 302500	165 469 149 166 375 000	23430749° 234520788	81882441 81932127	1821494 1818182

Num.	Square. 1 Cube.	Squ. Root.	Cube Root.	Recipr. •00
S5i 552 553	30 3601 30 47 04 30 5809	167 284 151 168 196608 169 112 377	3'473389 23*4946802 23-5159520	8-1981753 8-2031319 8-2080825	1814882 18 1 1594 1808318
554 555 556	30 69 16 30 8025 309136	1 70 03 1 464 170953 875 171 879 616	23-5372046 23-5584380 23-5796522	8*2130271 8-2179657 8-2228985	1805054 1 80 1 802 1798561
557 558 559	310249 31 13 64 312481	172 808 693 173 741 112 174676879	23-6008474 23-6220236 23-6431808	8-2278254 82327463 82376614	1795332 179*115 1788909
560 561 562	31 3600 31 47 21 315844	175 616000 176 558481 177504328	23*6643191 23-6854386 23-7065392	82425706 8-2474740 82523715	1785714 1782531 -"779359
563 564 565	31 69 69 31 8096 319225	178 453 547 179406 144 180 362 125	23-7276210 23-7486842 23-7697286	82572633 82621492 8-2670294	1776199 1773050 1769912
566 567 568	320356 321489 32 26 24	181 321 496 182284263 183 250432	37907545 23-8117618 23-8327506	82719039 82767726 8-2816355	1766784 1763668 1760563
569 570 57i	323761 324900 32 6041	184220009 185 193000 186 169411	23-8537209 23-8746728 23-8956063	8*2864928 8-2913444 8-2961903	1757469 1754386 1751313
572 573 574	327184 328329 329476	187 149248 188 132 517 189 119 224	23-9165215 23-9374184 23-9582971	8-3010304 8-3058651 8-3106941	1748252 1745201 1 742 1 60
575 576 577	33 0625 33 17 76 332929	190 109 375 191 102 976 192 100033	23-9791576 24-0000000 24-0208243	8-3155175 8-3203353 8'3*5H75	1739130 1736111 1733102
578 579 580	334084 33 5*41 33 6400	193 100552 194 104 539 195 1 12 000	24-0416306 240624188 240831891	8-3299542 8-3347553 8-3395509	1730104 1727116 1724138
581 582 583	337561 338724 33 98 89	196 122 941 197 137 368 198 155 287	241039416 241246762 4'J45399	8-3443410 8*3491256 8' 3 539°47	1721170 1718213 1715266
584 585 586	341056 342225 34 33 96	199 176704 200201 625 201 230056	24-1660919 24-1867732 24-2074369	8-3586784 8-3634466 8-3682095	1712329 1709402 1706485
587 588 589	344569 34 57 44 346921	202 262 003 203297472 204 336469	24-2280829 24-2487113 24-2693222	8-3729668 8'3777i88 8-3824653	1703578 1700680 1697793
59° 59i 59*	3481 00 349281 350464	205 379 000 206425 071 207474688	24-2899156 24-3104916 24-3310501	8-3872065 8*3919423 8-3966729	1 6949 1 5 1692047 1689189
593 594 595	351649 352836 354025	208 527 857 209 584 584 210644875	4'35I59I3 243721152 24*3926218	8-4013981 8*4061180 8-4108326	1686341 1683502 1680672
596 597 598	355216 356409 357604	211 708 736 212 776 173 213 847 192	244131112 4'4335834 24*4540385	8-4155419 8-4202460 8-4249448	1677852 1675042 1672241
599 600	358801 36 00 00	214921799 216000000	24*4744765 24-4948974	8-4296383 8-4343267	1669449 1666667

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •00
601 602 603	36 1201 36 24 04 36 36 09	217081 801 218 167208 219256227	24-5153013 24-5356883 24-5560583	8-4390098 8-4436877 8-4483605	1663894 1661130 1658375
604 605 6c6	3648 16 36 6025 36 72 36	220 348 864 221 445 125 222 545016	24-5764115 24-5967478 24-6170673	8-4530281 8-4576906 8-4623479	1655629 1652893 1650165
607 608 609	368449 36 96 64 370881	223 648 543 224755712 225 866 529	24-6373700 24-6576560 24-6779254	8-4670000 8-4716471 8-4762892	1647446 1644737 1642036
610 611 612	37 21 00 373321 37 45 44	226981 000 228 099 131 229 220 928	24-6981781 24-7184142 24-7386338	8-4809261 8*4855579 8-4901848	l639344 1636661 1633987
613 614 615	37 57 69 376996 378225	230346397 23i475 544 232 608 375	24-7588368 24-7790234 24799935	8*4948065 8-4994233 8-5040350	1631321 1628664 1626016
616 617 618	37 94 56 380689 38 1924	233744896 234885 113 236029032	24-8193473 24-8394847 24-8596058	8-5086417 8-5132435 8-5178403	1623377 1620746 1618123
619 620 621	383161 384400 385641	237176659 238 328 000 239483 061	24-8797106 24*8997992 24-9198716	8-5224321 8-5270189 8-5316009	1615509 1612903 1610306
622 623 624	386884 388129 38 93 76	240 641 848 241 804 367 242 970 624	24-9399278 24-9599679 24*979992o	8-5361780 8-5407501 8*5453173	1607717 1605136 1602564
625 626 627	3906 25 391876 39 3129	244 140 625 245 3 T4 376 246491 883	25-0000000 250199920 250399681	8-5498797 8*5544372 8-5589899	1600000 '597444 1594896
628 629 630	39 43 84 39 56 41 39 69 00	247673 152 248858 189 250047000	25-0599282 25-0798724 25-0998008	8*5635377 8-5680807 8-5726189	J592357 1589825 1587302
631 632 633	398161 39 94H 40 06 89	251 239 591 252435968 253636137	25-1197134 251396102 25i5949i3	8-5771523 8-5816809 8-5862047	1584786 1582278 1579779
634 635 636	40 19 56 40 3225 404496	254840 104 256 047 875 257259456	25*1793566 25-1992063 25-2190404	8-5907238 8-5952380 8-5997476	1577287 1574803 1572327
637 638 639	40 57 69 407044 40 83 21	258474853 259 694072 260917 119	25-2388589 25-2586619 25*2784493	8-6042525 8-6087526 8*6132480	1569859 1567398 1564945
640 641 642	40 96 00 41 08 81 41 21 64	262 144000 263374721 264609 288	25-2982213 253179778 253377'89	8-6177388 8-6222248 8-6267063	1562500 1560062 1557632
643 644 645	41 3449 414736 41 6025	265 847 707 267089984 268 336 125	253574447 253771551 25-3968502	8-6311830 8-6356551 8-6401226	1555210 ^52795 1550388
646 647 648	4173 16 41 8609 419904	269 586 136 270 840023 272097 792	25-4165301 25-4361947 25*455844i	8-6445855 8-6490437 8-6534974	1547988 J545595 1543210
649 650	42 12 01 42 25 00	273 359 449 274625000	254754784 254950976	8-6579465 8*6623911	1540832 1538462

13

Num	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •00
651 652 653	42 3801 425104 42 64 09	275 894451 277 167808 278445077	25-5147016 25'5342907 25'5538647	8-6668310 8-6712665 8-6756974	1536098 1533742 '53'394
6 54 655 656	427716 429025 430336	279 726 264 281 on 375 282 300416	25-5734237 25-5929678 25*6124969	8-6801237 8-6845456 8-6889630	1529052 1526718 1524390
657 658 659	43 '649 43 29 64 434281	283593393 284890 312 286 191 179	25-6320112 25-6515107 25-6709953	8-6933759 8-6977843 8-7021882	1522070 1519757 '5I745I
660 661 662	43 5600 436921 438244	287496000 288804781 290 117 528	25-6904652 25-7099203 25-7293607	8-7065877 8-7109827 8-7I53734	'5'5'52 1512859 1510574
663 664 665	439569 4408 96 442225	291434247 292754944 294079 625	25-7487864 25-7681975 25-7875939	8-7197596 8-7241414 8-7285187	1508296 1506024 '503759
666 667 668	4435 56 444889 446224	295408 296 296 740 963 298077 632	25-8069758 25*8263431 25-8456960	8-7328918 8-7372604 8-7416246	1501502 1499250 1497006
669 670 671	44756i 448900 450241	299418 309 300763 000 302 III 711	25-8650343 25-8843582 25-9036677	8-7459846 8-7503401 8*7546913	1494768 1492537 14903 1 3
672 673 674	451584 452929 454276	303464448 304821 217 306 182024	25-9229628 25-9422435 25-9615100	8-7590383 8*7633809 8-7677192	1488095 1485884 1483680
675 676 677	455625 45 69 76 458329	307546875 308915776 310288733	25*9807621 26-0000000 26-0192237	8-7720532 8-7763830 8-7807084	148 148 1 1479290 '477105
678 679 680	45 96 84 46 10 41 46 24 00	311 665 752 313046839 314432000	26-0384331 26-0576284 26*0768096	8-7850296 8-7893466 8-7936593	1474926 1472754 1470588
681 682 683	463761 465124 46 64 89	315 821 241 317214568 318611987	26-0959767 26*1151297 26-1342687	8-7979679 8*8022721 8-8065722	1468429 1466276 1464129
684 685 686	46 78 56 46 92 25 470596	320013 504 321419 125 322828856	26-I533937 26*1725047 26-1916017	8-8108681 8-8151598 8-8194474	1461988 1459854 1457726
687 688 689	47 19 69 47 33 44 474721	324 242 703 325 660 672 327082 769	26-2106848 26-2297541 26*2488095	8-8237307 8-8280099 8-8322850	1455604 1453488 '45'379
690 692	47 61 00 47 74 8i 47 88 64	328 509 000 329939371 331373888	26-2678511 26-2868789 26-3058929	8-8365559 8-8408227 8-8450854	1449275 1447178 1445087
693 694 695	48 02 49 48 16 36 483025	332812557 334255384 335702375	26-3248932 26-3438797 26-3628527	8-8493440 8-8535985 8-8578489	1443001 1440922 1438849
696 697 698	4844 16 48 58 09 48 72 04	337153536 338608873 340068 392	26-3818119 26-4007576 26-4196896	88620952 88663375 8-8705757	1436782 1434720 1432665
699 700	488601 49 00 00	341532099 343 000 000	26-4386081 26-4575131	88748099 8-8790400	1430615 1428571

'4

Num.	Square.	Cube.	Squ. Root. 1 Cube Hoot. 1	Recipr. •00
701 702 703	49 14 01 49 28 04 49 42 09	344472 IOI 345 948 408 347428927	264764046 264952826 26*5141472	88832661 88874882 8*8917063	1426534 14245c 1 1422475
704 705 706	49 56 16 497025 49 84 36	348913664 350402 625 351 895816	265329983 265518361 26*5706605	88959204 89001304 8*9043366	1420455 14 1 8440 1416431
707 708 709	49 98 49 50 12 64 502681	353 393H3 354894912 356400829	265894716 266082694 26*6270539	89085387 89127369 8-9169311	1414427 14 1 2429 14 1043 7
710 711 712	5041 00 5°55^i 506944	357 911 000 359425431 360944 128	266458252 266645833 26*6833281	8-9211214 89253078 89294902	140845 1 1406470 1404494
7i3 7H 7i5	5083 69 509796 51 1225	362467097 363994344 365525875	267020598 267207784 26*7394839	89336687 8'9378433 89420140	1402525 1400560 1398601
716 717 718	51 26 56 514089 5155 24	367 061 696 368 601 813 370 146 232	267581763 267768557 26*7955220	89461809 8-9503438 89545029	1396648 i3947co 1392758
719 720 721	51 6961 51 8400 51 98 41	371694959 373 248 000 374805361	268141754 268328157 26*8514432	89586581 89628095 8*9669570	1390821 1388889 1386963
722 723 724	52 12 84 5227 29 524176	376 367048 377 933o67 379503424	268700577 268886593 26*9072481	89711007 89752406 8*9793766	1385042 1383126 1381215
725 726 727	525625 52 7076 528529	381 078 125 382 657 176 384240583	269258240 269443872 26*9629375	89835089 89876373 8*9917620	1379310 1377410 1375516
728 729 730	52 99 84 53I44I 53 29 00	385828352 387420489 389 017000	269814751 270000000 27*0185122	89958829 9ocooooo 9*0041134	1373626 1371742 1369863
731 732 733	53436i 535824 537289	390 617 891 392 223 168 393832837	270370117 270554985 27*0739727	90082229 90123288 9*0164309	1367989 1366120 1364256
734 735 736	538756 540225 541696	395446904 397065375 398688256	270924344 271108834 27*1293199	90205293 90246239 9*0287149	1362398 1360544 1358696
737 738 739	543169 5446 44 546121	400315553 401 947 272 403583419	271477439 271661554 27*1845544	90328021 90368857 9*0409655	1356852 ^55014 1353180
740 74i 742	547600 549081 550564	405 224 coo 406 869021 408518488	272029410 272213152 27*2396769	90450417 90491142 9*0531831	'35i35« 1349528 1347709
743 744 745	552049 55 35 36 555025	410 172407 411 830784 413493625	272580263 272763634 27*2946881	90572482 90613098 9*0653677	^45895 1344086 1342282
746 747 748	556516 55 8009 55 95 04	415 160936 416832723 418 508 992	273130006 27-3313007 273495887	90694220 90734726 9*0775197	1340483 1338688 1336898
749 750	56 1001 562500	420189749 421 875 000	273678644 273861279	90815631 90856030	i335"3 J333333

15

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •00
751 752 753	564001 565504 56 7009	423564751 425 259008 426957777	27-4043792 27*4226184 27-4408455	90896392 9-0936719 90977010	I33I558 1329787 1328021
754 755 756	5685 16 570025 57 15 36	428 661 064 430368875 432081 216	27-4590604 27-4772633 27-4954542	91017265 91057485 9*1097669	1326260 1324503 1322751
757 758 759	573049 57 4564 576081	433798093 435 5195^ 437 245 479	27-5136330 27-5317998 27'5499546	9-1137818 91177931 91218010	1321004 1319261 1317523
760 761 762	57 7600 579121 580644	438 976 000 440 711 081 442 450 728	27-5680975 27-5862284 27-6043475	91258053 91298061 9*1338034	1315789 1 3 14060 1312336
763 764 765	582169 583696 585225	444194947 445 943 744 447697125	27-6224546 27-6405499 27-6586334	9-I37797i 9-1417874 9-1457742	1310616 1308901 1307190
766 767 768	586756 588289 589824	449455096 451217663 452 984832	27-6767050 27-6947648 27-7128129	9-1497576 9'i537375 9'1577i39	1305483 1303781 1302083
769 770 771	591361 59 2900 594441	454756609 456 533 000 458314011	27-7308492 27-7488739 27-7668868	91616869 91656565 9*1696225	1300390 1298701 1297017
772 773 774	595984 597529 599076	460 099 648 461 889917 463 684 824	27-7848880 27*8028775 27-8208555	9-1735852 9*I775445 9-1815003	I295337 1293661 1291990
775 776 777	6006 25 6021 76 60 37 29	465484375 467 288 576 469097433	27-8388218 27*8567766 27-8747197	9-1854527 9*1894018 9-1933474	1290323 1288660 1287001
778 779 780	60 52 84 606841 60 84 00	470910952 472729139 474552000	27-8926514 27*9105715 27-9284801	91972897 92012286 9*2051641	1285347 1283697 1282051
781 782 783	6099 61 61 15 24 61 30 89	476 379 541 478211 768 4800486S7	27-9463772 27-9642629 27-9821372	92090962 9-2130250 92169505	1280410 1278772 1277139
784 785 786	61 46 56 61 62 25 617796	481 890 304 483736625 485587656	28-0000000 28-0178515 28-03569x5	9-2208726 9-2247914 9*2287068	1275510 1273885 1272265
787 788 789	61 93 69 62 09 44 62 25 21	487443403 489303872 491 169 069	280535203 280713377 28-0891438	92326189 92365277 9*2404333	1270648 1269036 1267427
790 791 792	6241 CO 625681 62 72 64	493 039000 494913 671 496 793 088	28-1069386 281247222 281424946	9-2443355 92482344 92521300	1265823 1264223 1262626
793 794 795	628849 6304 36 63 2025	498677257 500 566 184 502459875	28-1602557 281780056 28i957444	9-2560224 9*2599114 9-2637973	1261034 1259446 1257862
796 797 798	63 36 16 63 5209 63 68 04	504358336 506261573 508 169 592	28-2134720 282311884 282488938	92676798 92715592 9*2754352	1256281 1254705 1253133
799 800	63 8401 64 00 00	510082 399 512000000	28-2665881 28*2842712	92793081 92831777	1251564 1250000

16

■ Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •co
80 1 802 803	64 16 01 64 32 04 64 48 09	513 922401 515 849 608 517781627	283019434 283196045 28*3372546	92870440 92909072 9*2947671	1248439 1246883 1245330
804 805 806	6464 16 648025 6496 36	519 718 464 521 660 125 523 606 616	283548938 283725219 28*3901391	92986239 93024775 9*3063278	1243781 1242236 1240695
807 808 809	65 1249 652864 654481	5^5 557 943 527 514 112 529475129	284077454 284253408 28*4429253	93101750 93140190 9'3i78599	1239157 1237624 1236094
810 811 812	65 61 00 657721 65 93 44	531 441 000 5334" 73* 535387328	284604989 284780617 28*4956137	93216975 9-3255320 93293634	1234568 1233046 1231527
813 814 815	66 09 69 66 25 96 6642 25	537367797 539 353 144 54i 343 375	285131549 285306852 28*5482048	93331916 9-3370167 93408386	1230012 1228501 1226994
816 817 818	665856 66 7489 66 91 24	543338496 545 338 513 547 343 43*	285657137 285832119 28*6006993	9^446575 93484731 93522857	1225490 1223990 1222494
819 820 821	67 07 61 67 24 00 674041	549 353^59 551 368000 553387661	286181760 286356421 28*6530976	93560952 9-3599016 93637049	1221001 1219512 1218027
822 823 824	67 56 84 67 73 29 678976	555412248 557441767 559476224	286705424 286879766 28*7054002	9*3675051 9-3713022 9-3750963	1216545 1215067 12 1 3 592
825 826 827	680625 682276 68 39 29	561 515 625 563559976 565 609283	287228132 287402157 28*7576077	93788873 93826752 9*3864600	1212121 1210654 1209190
828 829 830	685584 68 7241 688900	567663552 569 722 789 571 787000	287749891 287923601 28*8097206	9*3902419 9-3940206 9'3977964	1207729 1206273 12048 19
831 832 833	69 05 61 69 22 24 693889	573 856 191 575930368 578009537	288270706 288444102 28*8617394	94015691 94053387 9*4091054	1203369 1201923 1200480
834 835 836	69 55 56 69 72 25 69 88 96	580093 704 582 182875 584277056	288790582 288963666 28*9136646	94128690 94166297 9*4203873	1 1 9904 1 1 197605 1196172
837 838 839	7005 69 702244 703921	586376253 588480472 590589719	289309523 289482297 28*9654967	94241420 94278936 9*4316423	"94743 "93317 "91895
840 841 842	70 56 00 707281 70 89 64	592 704000 594823321 596947 688	289827535 290000000 29*0172363	94353880 94391307 9*4428704	1 190476 1189061 1 187648
843 844 845	71 0649 712336 714025	599077107 601 211 584 603 351 125	290344623 290516781 29*0688837	94466072 94503410 9*4540719	1 186240 "84834 1 183432
846 847 848	7157 16 717409 71 91 04	605495736 607 645423 609 800 192	29-o86o79i 291032644 291204396	94577999 94615249 9*4652470	1182033 1180638 1 179245
849 850	7208 01 722500	611 960049 614 125 000	291376046 9*I547595	94689661 94726824	1177856 1 1 7647 1

*7

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •00
851 852 853	724201 72 59 04 72 7609	616295 051 618470208 620650477	29-1719043 291890390 292061637	94763957 94801061 9*4838136	1175088 1173709 1172333
854 855 856	72 93 16 73 I025 732736	622 835 864 625 026 375 627 222016	292232784 292403830 29*2574777	94875182 94912200 9*4949188	1 170960 1169591 1 168224
857 858 859	734449 736164 73 78 8i	629422 793 631 628 712 633 839 779	292745623 292916370 29*3087018	94986147 95023078 9-5059980	1166861 1165501 1164144
860 861 862	73 9600 74 13 21 74 30 44	636056 000 638277381 640 503 928	293257566 293428015 29*3598365	9-5096854 9-5133699 9-5170515	1162791 1 16 1440 1 160093
863 864 865	744769 74 64 96 748225	642 735 647 644972544 647214625	293768616 293938769 29*4108823	9-5207303 9-5244063 9*5280794	1 158749 1 157407 1 156069
866 867 868	749956 751689 75 34*4	649461 896 651714363 653972032	294278779 294448637 29*4618397	9*53i7497 9'5354i72 9-5390818	11 547 34 1 153403 1 1 52074
869 870 871	75 51 61 75 6900 758641	656 234909 658 503 000 660776 311	294788059 294957624 29*5127091	9*5427437 9-5464027 9-5500589	1 150748 1 14942 5 1 148 106
872 873 874	76 03 84 76 21 29 763876	663054848 665338617 667 627 624	295296461 295465734 29*5634910	9-5537123 95573630 95610108	1 146789 1 H5475 1144165
875 876 877	765625 767376 76 91 29	669921 875 672221 376 674526133	295803989 29-5972972 296141858	95646559 95682982 9*57i9377	1 142857 "41553 1140251
878 879 880	77 08 84 772641 774400	676836 152 679i5i439 681 472000	296310648 296479342 29*6647939	95755745 95792085 9*5828397	1138952 1137656 1136364
881 882 883	776161 77 79 24 779689	683797841 686128968 688465 387	296816442 296984848 29*7153159	95864682 95900939 9*5937169	1 135074 1133787 1132503
884 885 886	78 1456 78 3225 78 49 96	690 807 104 693 154 125 695 506456	29-7321375 29*7489496 29-7657521	95973373 96009548 9*6045696	1131222 1 129944 1128668
887 888 889	786769 788544 7903 21	697 864 103 700227072 702595369	297825452 29-7993289 298161030	96081817 96117911 9*6i53977	1 127396 1126126 1 124859
890 891 892	79 21 00 793881 79 5664	704969000 707 347 971 709 732 288	29-8328678 29-8496231 29*8663690	96190017 96226030 9-6262016	1123596 1122334 1121076
893 894 895	79 7449 799236 80 1025	712 121 957 714 516 984 716917375	298831056 298998328 29*9165506	9-6297975 9*6333907 9-6369812	1119821 1118568 1117318
896 897 898	8028 16 80 46 09 80 64 04	719323 136 721734273 724 150 792	299332591 299499583 29*9666481	9-6405690 9-6441542 9*6477367	1116071 1 1 14827 1113586
899 900	808201 8 1 00 00	726572699 729 000 000	299833287 300000000	96513166 96548938	1 1 12347 1 1 1 1 1 1 1

18

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •00
901 902 903	81 1801 81 3604 81 5409	731432 701 733870808 736314327	30-0166620 30-0333148 30-0499584	9-6584684 96620403 96656096	1 109878 1 108647 1 107420
904 905 906	8172 16 81 9025 820836	738 763 264 741 217 625 743677416	30-0665928 30-0832179 30-0998339	96691762 96727403 9*6763017	1106195 1 104972 1103753
907 908 909	82 2649 824464 826281	746 142 643 748 613 312 751 089429	30* 1 164407 30-1330383 30*1496269	96798604 9-6834166 9-6869701	1102536 1101322 IIOOIIO
910 9" 912	828100 82 9921 83 1744	753 571 °°° 756058031 758550528	301662063 301827765 30*1993377	9-6905211 96940694 96976151	1098901 1097695 109649 1
913 914 9i5	833569 835396 837225	761 048497 763551944 766060 875	302158899 302324329 30*2489669	97011583 97046989 9*7082369	1095290 1094092 1092896
916 917 918	83 90 56 840889 842724	768 575 296 771 095 213 773 620632	30-2654919 302820079 302985148	9-7117723 9'7i5305i 9*7188354	1091703 10905 1 3 1089325
919 920 921	84456! 84 64 00 848241	776i5i559 778688000 781 229 961	303150128 30-3315018 303479818	97223631 97258883 9*7294109	1088139 1086957 1085776
922 923 924	85 0084 851929 85 37 76	783 777 448 786330467 788889024	303644529 303809151 30-3973683	9*7329309 97364484 9'7399634	1084599 1083424 1082251
925 926 927	855625 85 74 76 859329	791 453 125 794022 776 796 597 983	304138127 30-4302481 304466747	97434758 97469857 9-7504930	1081081 10799 14 1078749
928 929 93o	86 11 84 86 3041 8649 00	799 J78 752 801 765089 804357000	304630924 304795013 30*4959014	97539979 97575002 9*7610001	1077586 1076426 1075269
93i 932 933	866761 868624 870489	806 954491 809557568 812 166 237	305122926 305286750 30*5450487	9-7644974 97679922 97714845	1074114 1072961 1071811
934 935 936	872356 874225 87 6096	814780 504 817400375 820025 856	30-5614136 30-5777697 30-5941171	97749743 97784616 9*7819466	1070664 1069519 1068376
937 938 939	877969 879844 88 1721	822 656 953 825 293 672 827 936 019	30-6104557 30-6267857 30-6431069	9-7854288 9*7889087 9-7923861	1067236 1066098 1064963
940 941 942	883600 88 5481 88 73 64	830 584000 833 237 621 835896888	30-6594194 30-6757233 30*6920185	9-7958611 97993336 98028036	1063830 1062699 1061571
943 944 945	88 9249 89 11 36 89 3025	838561 807 841 232 384 843 908 625	30-7083051 30*7245830 30-7408523	9-8062711 9-8097362 9-8131989	1060445 1059322 1058201
946 947 948	8949 16 89 68 09 89 87 04	846590536 849278 123 851 971 392	30-7571130 30-7733651 30-7896086	98166591 98201169 98235723	1057082 1055966 1054852
949 95°	9006 01 9025 00	854670349 857375000	30-8058436 30-8220700	98270252 98304757	1053741 1052632

19

Num.	Square.	Cube.	Squ. Root-	Cube Root.	Recipr. •00
95i 952 953	904401 90 63 04 90 82 09	860085 351 862801408 865523177	30-8382879 30-8544972 30*8706981	9-8339238 9-8373695 9-8408127	1051525 1050420 10493 18
954 955 956	91 01 16 91 2025 913936	868250664 870983875 873 722 816	30-8868904 30-9030743 30-9192497	9-8442536 9-8476920 9-8511280	1048218 1047120 1046025
957 958 959	915849 917764 91 96 81	876467493 879 217 912 881 974079	30-9354166 30-9515751 30-9677251	9-8545617 9-8579929 9-8614218	1044932 1043 841 1042753
960 961 962	92 16 00 923521 925444	884736000 887503681 890277 128	30-9838668 3 1 • 0000000 31-0161248	9-8648483 9-8682724 9-8716941	1041667 1040583 1039501
963 964 965	927369 92 92 96 93 1225	893056347 895 841 344 898 632 125	31-0322413 31-0483494 31-0644491	9'875"35 9-8785305 9-8819451	1038422 io37344 1036269
966 967 968	933156 935089 937024	901 428 696 904231 063 907039 232	31*0805405 31-0966236 31-1126984	9-8853574 9-8887673 9-8921749	1035197 1034126 1033058
969 970 971	93 8961 94 09 00 942841	909 853 209 912 673 oco 915498611	31-1287648 31-1448230 31-1608729	9-8955801 9-8989830 9-9023835	103 1992 1030928 1029866
972 973 974	944784 946729 94 86 76	918 330048 921 167 317 924010424	31-1769145 31-1929479 31-2089731	9-9057817 9-9091776 9-9125712	1028807 1027749 1026694
975 976 977	950625 952576 954529	926859375 929 714 176 932574833	31-2249900 31-2409987 31-2569992	9-9159624 9'9I935I3 9-9227379	1025641 1024590 1023541
978 979 980	956484 958441 96 04 00	935441352 938313739 941 192 000	31-2729915 31-2889757 31-3049517	9-9261222 9*9295042 9-9328839	1022495 102 1450 1020408
981 982 983	96 23 61 964324 96 62 89	944076 141 946 966 168 949 862087	31-3209195 31-3368792 31-3528308	9-9362613 9-9396363 9-9430092	1019368 1018330 1017294
984 985 986	968256 970225 972196	952 763 9°4 955671625 958585256	31-3687743 31-3847097 31-4006369	99463797 99497479 9-9531138	1016260 1015228 1014199
987 988 989	974169 976144 97 81 21	961 504803 964430272 967 361 669	31-4165561 31-4324673 31-4483704	9^564775 9-9598389 9-9631981	1013171 101214& 1011122
990 991 992	98 01 00 98 2081 98 40 64	970299000 973242271 976 191 488	31-4642654 31-4801525 31-4960315	9-9665549 9-9699095 9-9732619	IOIOIOI 1009082 1008065
993 994 995	98 6049 988036 99 00 25	979 146657 982 107 784 985074875	31-5119025 31-5277655 31-5436206	9-9766120 99799599 99833055	1007049 1006036 1005025
996 997 998	99 20 16 99 40 09 99 60 04	988 047 936 991 026 973 994 on 992	3^5594677 31-5753068 31-5911380	9-9866488 9-9899900 9-9933289	1 004c 1 6 1003009 1002004
999 1000	99 8001 1 00 00 00	997002999 i 000 000 000	31*6069613 31-6227766	9-9966656 io-ooooooo	IOOIOOI I OOOOOO

20

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •000
IOOI 1002 IOO3	1 002001 1 00 40 04 1 00 60 09	1003 003 001 1 006012008 1 009 027 027	31*6385840 31-6543836 31-6701752	100033322 100066622 10*0099899	9990010 9980040 9970090
IOO4 IOO5 IO06	1 00 80 16 1 01 0025 1 01 20 36	1 012048 064 1 015 075 125 1 018 108 216	31-6859590 31-7017349 31-7175030	100133155 100166389 10*0199601	9960159 9950249 9940358
IOO7 I008 IOO9	1 01 4049 1 01 60 64 1018081	1 02 1 147343 1024 192 512 1 027 243 729	31-7332633 31-7490157 31-7647603	100232791 100265958 10*0299104	9930487 9920635 9910803
IOIO IOII IOI2	1 02 0 1 00 1 02 21 21 1 02 41 44	1 030 301 000 1033 36433i 1036433728	31-7804972 31-7962262 31*8119474	10-0332228 100365330 100398410	9900990 9891197 9881423
IOI3 IOI4 IOI5	1 02 61 69 1 02 81 96 1 03 02 25	1 039 509 197 1 042 590 744 1045678375	31*8276609 31-8433666 31-8590646	100431469 100464506 10*0497521	9871668 9861933 9852217
IOI6 IOI7 IOl8	1 03 22 56 1 0342 89 1 03 63 24	1 048 772 096 1051871913 1054977832	31-8747549 31-8904374 31-9061123	10-0530514 10*0563485 10-0596435	9842520 9832842 9823183
IOI9 I020 I02 I	1 03 83 61 1 04 04 00 1 042441	1 058 089 859 1 061 208 000 1 064332 261	31-9217794 31-9374388 31*9530906	100629364 100662271 10-0695156	9813543 9803922 9794319
I022 IO23 IO24	1044484 1 04 65 29 1 0485 76	1 067462 648 1 070 599 167 1 073 741 824	31-9687347 31-9843712 32-0000000	100728020 100760863 10*0793684	9784736 9775171 9765625
IO25 IO26 IO27	1 05 0625 1 05 26 76 1054729	1 076 890 625 1 080045 576 1 083 206 683	320156212 32-0312348 320468407	100826484 100859262 10*0892019	9756098 9746589 9737098
IO28 IO29 IO30	1 05 67 84 1 05 88 41 1 06 09 00	1 086 373 952 1089547389 1 092 727 000	32*0624391 32-0780298 32-0936131	100924755 100957469 10*0990163	9727626 9718173 9708738
IO3I IO32 io33	1 06 29 61 1 06 5024 1 06 70 89	1 095 912 791 1 099 104768 1 102 302937	32-1091887 32-1247568 32-1403173	10-1022835 10-1055487 10-1088117	9699321 9689922 9680542
1034 io35 1036	1 06 91 56 107 1225 1 07 3296	1 105 507 304 i 108 717 875 1 111934656	32-1558704 32-1714159 32-1869539	101120726 10-1153314 101185882	9671180 9661836 9652510
1037 1038 1039	1075369 1077444 1 07 95 21	1 115 157653 1 118 386872 1 121 622 319	32*2024844 32-2180074 32-2335229	101218428 101250953 10-1283457	9643202 9633911 9624639
1040 1041 1042	1 08 1600 1 08 36 81 1 08 57 64	1 124864000 1 128 in 921 1 131 366088	32-2490310 32-2645316 32*2800248	10-1315941 10-1348403 10-1380845	9615385 9606148 9596929
1043 1044 1045	1 08 7849 1 08 99 36 1 092025	1 134626 507 1 137893 184 1 141 166 125	32-2955105 32-3109888 32-3264598	10*1413266 10-1445667 10-1478047	9587728 9578544 9569378
1046 1047 1048	1 0941 16 1 09 62 09 1 09 83 04	1 144445 336 1 147730823 1151 022 592	32-3419233 32*3573794 32-3728281	10- 1 5 10406 10-1542744 10*1575062	9560229 9551098 9541985
1049 1050	1 10 04 01 1 1025 00	1 154 320 649 1 157 625000	32-3882695 32-4037035	10-1607359 10-1639636	9532888 9523810

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr.

1051 1052 1053	1 10 46 01 1 10 67 04 1 10 8809	1 160935 651 1 164252 608 1 167575877	32-4191301 32-4345495 32-4499615	10-1671893 10-1704129 10-1736344	9514748 9505703 9496676
1054 1055 1056	1 11 09 16 1 11 3025 1 11 51 36	1 170905464 1 174 241 375 1 177 583 616	32-4653662 32-4807635 32-4961536	10-1768539 10-1800714 10-1832868	9487666 9478673 9469697
io57 1058 1059	1 11 7249 1 11 93 64 1 12 1481	1 180932 193 1 184287 112 1 187648379	32-5115364 32-5269119 32-5422802	10-1865002 10-1897116 10-1929209	9460738 9451796 9442871
1060 1061 1062	1 12 3600 1 12 5721 1 127844	1 191 016000 1 194 389 981 1 197 770 328	32-5576412 32-5729949 32-5883415	10-1961283 10*1993336 10-2025369	9433962 9425071 9416196
1063 1064 1065	1 12 99 69 1 13 2096 1 134225	1 201 157047 1 204 550 144 1 207 949 625	32-6036807 32*6190129 32-6343377	10-2057382 10-2089375 10-2121347	9407338 9398496 9389671
1066 1067 1068	1 136356 1 138489 1 1406 24	1211355496 1 214767 763 1218 186432	32-6496554 32-6649659 32*6802693	10-2153300 10-2185233 10-2217146	9380863 9372071 9363296
1069 1070 1071	1 1427 61 1 144900 1 14 7041	1 221 611 509 1 225 043 000 1 228 480 91 1	32-6955654 32-7108544 32-7261363	10-2249039 10-2280912 10-2312766	9354537 9345794 9337068
1072 1073 1074	1 149184 1 15 13 29 1 15 3476	1 231 925248 1235 376017 1 238 833 224	32-7414111 32-7566787 32-7719392	10-2344599 10-2376413 10-2408207	9328358 9319664 9310987
1075 1076 1077	1 15 56 25 1 157776 1 159929	1 242 296 875 1 245 766 976 1249243533	32-7871926 32-8024389 32-8176782	10-2439981 10-2471735 10*2503470	9302326 9293680 9285051
1078 1079 1080	1 16 2084 1 16 42 41 1 16 6400	1 252 726 552 1 256 216039 1 259 712000	32-8329103 32-8481354 32-8633535	10-2535186 10-2566881 io-2<;98557	9276438 9267841 9259259
1081 1082 1083	1 168561 1 170724 1 172889	1 263 214441 1 266 723 368 1 270238 787	32-8785644 32-8937684 32-9089653	10-2630213 102661850 102693467	9250694 9242144 9233610
1084 1085 1086	1 17 50 56 1 177225 1 179396	1273760704 1 277289 125 1 280 824056	32-9241553 32-9393382 32-9545141	10-2725065 10*2756644 10-2788203	9225092 9216590 9208103
1087 1088 1089	1 18 1569 118 3744 1 18 5921	1284365503 1287913472 1 291 467 969	32*9696830 32-9848450 33-0000000	102819743 102851264 10-2882765	9199632 9191176 9182736
1090 109 1 1092	1 18 81 00 1 1902 81 1 192464	1 295 029 000 1 298 596 571 1 302 170 688	33-0151480 33-0302891 33-0454233	102914247 102945709 10*2977153	9174312 9165903 9i57509
1093 1094 1095	1 194649 1 196836 1 199025	I305 751 357 1 309 338 584 1312932375	33-0605505 33-0756708 33-0907842	103008577 103039982 10-3071368	9149131 9140768 Q I 32420
1096 1097 1098	1 20 12 16 1 20 3409 1 20 56 04	1316532736 1 320139673 1323753 192	33-1058907 33-1209903 33-1360830	103102735 103134083 10-316^411	9124088 91 15770 9107468
1099 1 100	1 207801 1 21 0000	1 327373299 1 331 000000	33-1511689 33-1662479	10*3196721 10-3228012	9C99181 909C909

			Squ. Root.	Cube Root.	Recipr. •000
Num.	Square.	Cube.
IIOI II02 1103	1 21 2201 1 2 1 44 04 1 21 6609	1 334633 301 1338273208 1 341 919 727	33*1813200 33-1963853 33-2114438	10-3259284 10-3290537 10-3321770	9082652 9074410 9066183
1 104 1105 1 106	1218816 1 22 1025 1 22 32 36	1345572864 1349232625 1352899016	33-2264955 33-2415403 33-2565783	10-3352985 10-3384181 IO*34i5358	9057971 9049774 9041591
1 107 1 108 1 109	1225449 1 22 76 64 1 22 98 81	1356572043 1 360251 712 1363938029	33-2716095 33-2866339 33-3016516	10-3446517 10-3477657 10-3508778	9033424 9025271 9017133
IIIO IIII III2	1 23 21 00 1 23 43 21 1236544	1 367 631 000 1 371 330631 1375036928	33-3166625 33-3316666 33-3466640	10-3539880 10-3570964 10-3602029	9009009 9000900 8992806
1113 1114 ITI5	1 23 87 69 1 24 09 96 1243225	1 378 749 897 1382469544 1 386 195 875	33-3616546 33-3766385 33-3916157	10-3633076 10-3664103 10-3695113	8984726 8976661 8968610
1116 1117 1118	1245456 1 24 76 89 T 24 99 24	1 389928896 1 393 668613 1397415032	33-4065862 33-4215499 33'436507o	10-3726103 10-3757076 10-3788030	8960573 8952551 8944544
1119 1 120 II2I	I 25 21 6l I 2544OO I 25 664I	1 401 168 159 1 404 928 000 1408 694 561	33*45i4573 33-4664011 33-4813381	10-3818965 10-3849882 10-3880781	8936550 8928571 8920607
1122 II23 1 124	I258884 I 26 II 29 I 26 33 76	1 412 467 848 1 416 247 867 1 420 034 624	33-4962684 33-5111921 33-5261092	10-3911661 10-3942523 10-3973366	8912656 8904720 8896797
II25 1126 1127	I 26 56 25 I267876 I 27OI 29	1423 828 125 1427628 376 '431435383	33-5410196 33*5559^34 33-5708206	10-4004192 10-4034999 10-4065787	8888889 8880995 8873114
1128 II29 II30	I272384 I 27464I I 27 69OO	1 435 249 152 1439069 689 1 442 897 000	33-5857112 33-6005952 33-6154726	10-4096557 10-4127310 10-4158044	8865248 8857396 8849558
II3I 1132 "33	I 27 91 6l I 28 I424 I283689	1446731091 1 450 571 968 1 454419 637	33'63°3434 33-6452077 33-6600653	10-4188760 10-4219458 10-4250138	8841733 8833922 8826125
"34 1135 1136	I 28 59 56 I 28 8225 I 290496	1 458 274 104 1 462 135 375 1 466003456	33-6749165 33-6897610 33-7045991	10*4280800 10-4311443 10-4342069	8818342 8810573 8802817
"37 1138 1139	I 29 27 69 I295044 I 29 73 21	1469878353 1473 760072 1 477 648 619	33-7194306 33734556 33-7490741	10-4372677 10-4403267 10-4433839	8795075 8787346 8779631
J 140 1141 1 142	I 29 96 OO I 301881 I 3O4I 64	1 48 1 544 000 1485446 221 1489355288	33-7638860 33-7786915 33'79349°5	10-4464393 10-4494929 10-4525448	8771930 8764242 8756567
"43 "44 "45	1306449 I 30 87 36 I 31 IO25	1 493 271 207 1 497 193 984 1 501 123 625	33-8082830 33-8230691 33-8378486	IO'4555948 10-4586431 10-4616896	8748906 8741259 8733624
1 146 "47 1 148	1 31 33 16 1 31 5609 1 31 7904	1 505 060 136 1 509003 523 1 512 953 792	33-8526218 33-8673884 33-8821487	10-4647343 10-4677773 10-4708185	8726003 8718396 8710801
"49 1150	1 32 02 01 1 32 25 00	1 516 910949 1 520 875 000	33-8969025 33-9116499	io-4738579 10-4768955	8703220 8695652

23

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •000
1151 1152 1153	1 324801 1 32 71 04 1329409	1 524845951 1 528823808 1532808577	33-9263909 33-9411255 33*9558537	10-4799314 10-4829656 10*4859980	8688097 8680556 8673027
"54 "55 1156	1 33 17 16 1334025 1336336	1 536 800264 1540798875 1 544804416	33*9705755 33-9852910 34-0000000	10-4890286 10-4920575 10-4950847	8665511 8658009 8650519
1157 1158 1159	1338649 1340964 1 34 32 81	1 548816893 1 552836 312 1 556 862 679	34-0147027 34-0293990 34-0440890	10-4981101 10-5011337 10-5041556	8643042 8635579 8628128
1 160 1161 1162	1 345600 1 347921 1350244	1 560 896000 1 564936281 1 568983528	34-0587727 34-0734501 34-0881211	10-5071757 10-5101942 10-5132109	8620690 8613264 8605852
1163 1 164 1165	1352569 1354896 1357225	i573°37 747 1 577 098 944 1 581 167 125	341027858 341174442 34-1320963	10-5162259 10-5192391 10-5222506	8598452 8591065 8583691
1166 1167 1168	1 35 95 56 i 36 1889 1364224	1 585 242296 1589324463 1 593413632	34* 1467422 34-1613817 34-1760150	10-5252604 10-5282685 10-5312749	8576329 8568980 8561644
1169 1 1 70 1171	1 36 65 61 1 36 8900 137 1241	1 597 509 809 1 601 613 000 1 605 723 211	34-1906420 34-2052627 34-2198773	10-5342795 10-5372825 10-5402837	8554320 8547009 8539710
1172 "73 1 174	137 35 84 1 37 59^9 1 37 82 76	1 609 840 448 1613964717 1 618 096024	34-2344855 34-2490875 34-2636834	10-5432832 10-5462810 10-5492771	8532423 8525149 8517888
"75 1176 "77	1 38 0625 1 38 29.76 1385329	1622234375 1 626 379 776 1630532233	34-2782730 34-2928564 34-3074336	10-5522715 10-5552642 10-5582552	8510638 8503401 8496177
1178 "79 1180	1 387684 1 390041 1 39 2400	1 634691 752 1638858339 1 643 032 000	34-3220046 34*3365694 34-3511281	10-5612445 10-5642322 10-5672181	8488964 8481764 8474576
1181 1182 1183	1 394761 1 39 71 24 1399489	1 647 212 741 1 651 400 568 1655595487	34-3656805 34-3802268 34'3947670	10-5702024 10-5731849 10-5761658	8467401 8460237 8453085
1184 1185 1186	1 40 18 56 14042 25 1 40 65 96	1659797504 1 664006 625 1 668222856	34-4093011 34-4238289 34'4383 507	10-5791449 10-5821225 10-5850983	8445946 8438819 8431703
1187 1188 1189	1 40 89 69 141 1344 141 3721	1 672446 203 1 676 676 672 1 680 914269	34-4528663 34*4673759 34-4818793	10-5880725 10*5910450 10-5940158	8424600 8417508 8410429
1190 1191 1192	1 41 61 00 141 8481 1 42 08 64	1 685 159 000 1 689410 871 1693669888	344963766 34-5108678 34525353o	10-5969850 10-5999525 10-6029184	8403361 8396306 8389262
"93 "94 "95	1 42 32 49 1 42 56 36 1 42 8025	1697936057 1 702 209 384 1 706489 875	34-5398321 34*554305i 34-5687720	10-6058826 10-6088451 io-6i 18060	8382230 8375209 8368201
1196 "97 1198	1 43 04 16 1 43 28 09 1 43 52 04	1 7io777 536 1 715 072 373 1 719 374 392	34-5832329 34-5976879 34-6121366	10-6147652 10-6177228 10-6206788	8361204 8354219 8347245
"99 1200	1 43 76 01 1 44 00 00	1723683599 1 728 000 000	34-6265794 34-6410162	10-6236331 10-6265857	8340284 8333333

■ Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •000
IZOI 1202 I203	1 44 24 01 1444804 1 44 72 09	1 732 323 601 1 736 654408 1 740 992 427	34^554469 34*6698716 34-6842904	106295367 106324860 10*6354338	8326395 8319468 8312552
I204 I205 I2o6	14496 16 14S 20 25 1454436	1 745 337 664 1 749 690 125 1 754049 816	346987031 347131099 34*7275107	106383799 106413244 10*6442672	8305648 8298755 8291874
I207 I208 I209	1 45 68 49 1 45 92 64 1461681	1 758 416 743 1 762 790912 1 767 172 329	347419055 347562944 34*7706773	106472085 10-6501480 106530860	8285004 8278146 8271299
I2IO I2II 1212	1 46 41 00 146 65 21 1468944	1 771 561 000 '775956931 1 780 360 128	347850543 347994253 34*8x37904	106560223 106589570 10-6618902	8264463 8257638 8250825
1213 1214 1215	147 13 69 1473796 1476225	1 784 770 597 1 789 188 344 1 793 613 375	348281495 348425028 34*8568501	10-6648217 10-6677516 10*6706799	8244023 8237232 8230453
I2l6 1217 I2l8	1478656 1 48 10 89 1483524	1 798 045 696 1 802485 313 1 806932 232	34-8711915 34-8855271 34-8998567	106736066 10-6765317 106794552	8223684 8216927 8210181
I219 I220 1221	148 59 61 1 48 84 00 1 49 08 41	1 811 386459 i 815 848000 1 820 316 861	34-9141805 34-9284984 34-9428104	10-6823771 10*6852973 10-6882160	8203445 8196721 8190008
1222 1223 1224	1 49 32 84 1495729 1 49 81 76	1 824 793 048 1 829276 567 1833767424	34-9571166 34-9714169 34-9857114	10*6911331 10-6940486 10-6969625	8183306 8176615 8169935
1225 1226 1227	1 500625 1 50 30 76 1505529	1838265625 1 842 771 176 1 847284083	35*0000000 35-0142828 35-0285598	10-6998748 10-7027855 10*705-6947	8163265 8156607 8149959
1228 1229 I23O	1 50 79 84 1 51 0441 1 51 29 00	1 851 804 352 1 856 331 989 1 860 867000	35-0428309 35*0570963 35'07i3558	10-7086023 10-7115083 10-7144127	8143322 8136696 8130081
I231 1232 1*33	Mi 53 61 1 51 78 24 1 5202 89	1 865409 391 1 869 959 168 1 874 516 337	350856096 350998575 35*1140997	10*7173155 10-7202168 10-7231165	8123477 8116883 8 1 10300
*234 I235 1236 I237 1238 1239	1522756 1525225 1527696	i 879 080904 1883652875 1888232256	35*1283361 35-1425668 35-1567917	10-7260146 10-7289112 10*7318062	8103728 8097166 8090615
1 53 01 69 1532644 1535121	1 892 819053 1 897413 272 1 902014919	35-1710108 35-1852242 35-1994318	10-7346997 107375916 107404819	8084074 8077544 8071025
1240 1241 1242	1 53 7600 1 54 00 8 1 1542564	1 906 624 000 1 911 240 521 1 915 864488	352136337 352278299 35-2420204	10-7433707 10-7462579 10-7491436	8064516 8058018 8051530
1243 1244 1245 1246 1247 1248	1545049 154 75 36 1550025	1920495907 1925 134784 1 929 781 125	35-2562051 35-2703842 35'2845575	10-7520277 10-7549103 10*7577913	8045052 8038585 8032129
1 55 25 16 1555009 i55 75°4	1934434 936 1 939 096 223 1 943 764 992	352987252 353128872 35*3270435	107606708 10-7635488 107664252	8025682 8019246 8012821
1249 1250	1 560001 1 562500	1 948 441 249 1 953 125000	35*3411941 35'355339I	107693001 107721735	8006405 8000000

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •000
1251 1252 1253	1 56 5001 1567504 1 57 co 09	1957816251 1 962 515 008 1 967 221 277	35-3694784 353836120 35397740°	10-7750453 10-7779156 10-7807843	7993605 7987220 7980846
1254 1255 1256 1257 1258 1259	1 57 25 16 1 57 50 25 157 75 36	1 971 935 064 1976656375 1 981 385216	35-4118624 35459792 35-4400903	10-7836516 10-7865173 10-7893815	7974482 7968127 7961783
1 580049 1 582564 1 585081	1 986 121 593 1 990865 512 1 995 616 979	35*454i958 35-4682957 35-4823900	10-7922441 10-7951053 10-7979649	7955449 7949 * 26 7942812
1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271	1 58 7600 1590121 1592644	2000 376000 2005 142 581 2009 916 728	35-4964787 35-5105618 35-5246393	10-8008230 10-8036797 10-8065348	7936508 7930214 7923930
1 59 51 69 1597696 1 6002 25	2 014698447 2019487744 2024284625	355387ii3 3555*7777 35-5668385	108093884 108122404 10-8150909	7917656 7911392 7905138
1 6027 56 1 60 52 89 1 60 78 24	2029089096 2033 901 163 2038720832	35-5808937 35*5949434 35-6089876	108179400 10-8207876 108236336	7898894 7892660 7886435
1 61 03 61 1 61 2900 1 61 5441	2 043 548 109 2048 383 000 2053 225 511	35-6230262 356370593 356510869	10-8264782 10-8293213 10*8321629	7880221 7874016 7867821
1272 1273 1274	1 61 79 84 1 6205 29 1 62 30 76	2058 075 648 2062933417 2067 798 824	35-6651090 35-6791255 35-6931366	10*8350030 10-8378416 10-8406788	7861635 7855460 7849294
1275 1276 1277	1 62 5625 1 62 8 1 76 1 63 07 29	2072671 875 2 °77 552 576 2082440933	35-7071421 35-7211422 35-7351367	10-8435144 10-8463485 10-8491812	7843'37 7836991 7830854
1278 1279 1280	1633284 1 63 58 41 1 63 8400	2087 336952 2092240639 2097 152000	35-7491258 35-7631095 35-7770876	10-8520125 10-8548422 10-8576704	7824726 7818608 7812500
1281 1282 1283	1 6409 61 1643524 1 64 60 89	2 102 07 1 041 2 106997 768 2 in 932 187	35-7910603 35-8050276 35*8189894	108604972 108633225 10-8661464	7806401 7800312 7794232
1284 1285 1286	1648656 1 65 1225 1653796	2 116 874 304 2 121 824 125 2 126 781 656	35'8329457 35-8468966 35*8608421	10-8689687 10-8717897 10-8746091	7788162 7782101 7776050
1287 1288 1289 1290 1291 I2C2	1 65 63 69 1658944 1 66 15 21 1 6641 CO 1 66 66 81 1 66 92 64	2 131 746 903 2 136 719 872 2 141 700 569	35*8747822 35-8887169 35-9026461	10-8774271 10*8802436 10-8830587	7770008 7763975 7757952
2 146 689 000 2 151 685 171 2 156689088	35-9165699 35-9304884 35-9444015	10-8858723 10-8886845 10-8914952	7751938 7745933 7739938
I293 I294 I295	1 67 18 49 1674436 1 67 7025	2 161 700 757 2 166 720 184 2 171 747 375	35*9583092 35-9722115 35-9861084	108943044 108971123 10*8999186	7733952 7727975 7722008
I296 1297 I298	1 67 96 16 1 68 22 09 1 68 48 04	2 176 782 336 2 181 825073 2 186 875 592	36-0000000 36-0138862 36-0277671	10-9027235 10-9055269 10-9083290	7716049 77 10 ICC 770416c
I299 I 3OC	1 68 7401 1 69 00 CO	2 191 933 899 2 197 OOO oco	36-0416426 36-0555128	10-9111296 10-9139287	7698229 7692308

z6

Num	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •000
1301 1302 1303	1 69 26 01 1 69 52 04 1 69 78 09	2 202073 901 2207 155 608 2 212 245 127	36-0693776 36*0832371 36-0970913	109167265 10-9195228 109223177	7686395 7680492 7674597
1304 1305 1306	1 70 04 1 6 1 70 30 25 1 70 56 36	2217342464 2 222447 625 2 227 560 616	36*1109402 36-1247837 36-1386220	109251111 10-9279031 109306937 109334829 109362706 10*9390569	7668712 7662835 7656968
1307 1308 1309	1 70 82 49 1 71 08 64 171 3481	2 232 681 443 2 237 810 112 2 242 946 629	36-1524550 36-1662826 36*1801050	7651109 7645260 7639419
1310 1311 1312	1 71 61 00 1 71 8721 1 72 13 44	2 248 091 000 2253243231 2 258403 328	36-1939221 362077340 362215406	10-9418418 109446253 109474074	7633588 7627765 7621951
1313 1314 1315	1 72 39 69 i 72 65 96 1 7292 25	2263571297 2 268 747 144 2273930875	36-2353419 36-2491379 36-2629287	109501880 109529673 IO'955745i	7616146 7610350 7604563
1316 i3!7 1318	1 73 18 56 ^34489 1737124	2 279 122496 2 284 322013 2 289 529432	36-2767143 36-2904946 36*3042697	109585215 109612965 10*9640701	7598784 75930H 7587253
1319 1320 1321	1 73 97 61 1 74 24 00 1 74 5041	2294744759 2 299 968 000 2 305 199 161	363180396 363318042 36'3455637	109668423 109696131 10*9723825	7581501 7575758 7570023
1322 1323 1324	1 74 76 84 1750329 1752976	2310438248 2315685267 2 320 940 224	363593179 363730670 36*3868108	109751505 109779171 10*9806823	7564297 7558579 7552870 75471 70 754H78 7535795
1325 1326 1327	1755625 1 75 8276 1 76 09 29	2 326 203 125 233i473 976 2 336 752 783	364005494 364142829 36-4280112	109834462 109862086 10*9889696
1328 1329 1330	1763584 1 76 6241 1 76 89 00	2342039552 2347 334 289 2 352 637000	36"44i7343 364554523 364691650	109917293 109944876 10*9972445	7530120 7524454 7518797
J33i 1332 *333	1771561 1 77 42 24 1776889	2357 947 69i 2 363266 368 2368593037	364828727 364965752 36-5102725	II'OOCOOOO 110027541 110055069	75 1 3 H8 7507508 7501875
1334 J335 '336 1337 1338 1339	177 95 56 1 782225 1784896	2 373 927 704 2379270375 2 384621 056	36-5239647 36-5376518 36'55i3338	110082583 110110082 11*0137569	7496252 749o637 7485030
1787569 1 79 °2 44 1 79 2921	2 389 979 753 2 395 346 472 2400 721 219 2406 104000 2 41 1 494 821 2416893688	36-5650106 36-5786823 36-5923489	110165041 110192500 11*0219945	7479432 7473842 7468260
1340 i34i "342	1 79 56 00 1 79 82 81 1 80 09 64	36-6060104 36-6196668 36*6333181	110247377 110274795 11*0302199	7462687 7457122 7451565
1343 1344 1345!	1 80 3649 1 8063 36 1 809025	2 422 300 607 2427715584 2433 138625	366469644 366606056 36*6742416	H'0329590 110356967 110384330	7446016 7440476 7434944
1346 1347 1348	181 17 16 1 814409 1 8 1 7 1 04	2438 569 736 2444008 923 2449456192	366878726 367014986 36*7151195	110411680 110439017 11*0466339	7429421 7423905 7418398
1349 *35o	1819801 1 82 25 00	2 454 91 1 549 246c 375 000	367287353 367423461	110493649 110520945	7412898 7407407

27

Xum.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •ceo
1351 1352 1353	1 82 5201 1 82 79 04 1 83 0609	2465 846 551 2471 326208 2476813977	36-7559519 36*7695526 36-7831483	11-0548227 "■°575497 11-0602752	7401924 7396450 7390983
'354 r355 1356 '357 1358 '359	18333x6 1 83 6025 1838736	2482 309 864 2487813875 2493 326016	36-7967390 36*8103246 36-8239053	11*0629994 11-0657222 11-0684437	7385524 7380074 7374631
1841449 1 8441 64 1 8468 81	2498 846293 2504374712 2 509 911 279	36-8374809 36-8510515 36-8646172	11*0711639 11-0738828 11-0766003	7369197 7363770 7358352
1360 1361 1362 *363 1364 i365	1 84 96 00 1 85 2321 1855044	2515456000 2 521 008 881 2 526 569 928	36*8781778 36-8917335 36-9052842	11-0793165 11*0820314 11-0847449	7352941 7347539 7342144
1857769 1 860496 1 86 3225	2 532 139 147 2537716544 2 543 302 125	36-9188299 36-9323706 36-9459064	11-0874571 11*0901679 11-0928775	7336757 7331378 7326007
1366 1367 1368	1865956 1868689 1871424	2 548 895 896 2554497863 2 560 108 032	36,9594372 36-9729631 36-9864840	iro955857 11-0982926 11-1009982	7320644 7315289 7309942
1369 1370 1371	1 8741 61 1 87 69 00 1 87 9641	2 565 726409 2 571 353000 2 576 987 811	37-0000000 37#oi35"o 37-0270172	11-1037025 11-1064054 11-1091070	7304602 7299270 7293946
1372 1373 1374	1882384 1 88 51 29 1887876	2 582 630848 2588282 117 2 593 941 624	37-0405184 37-0540146 37-0675060	11-1118073 11-1145064 11-1172041	7288630 7283321 7278020
1375 1376 1377	1 890625 1893376 1 89 61 29	2 599 609 375 2605 285 376 2 610969 633	37-0809924 37-0944740 37-1079506	11*1199004 11-1225955 11-1252893	7272727 7267442 7262164
1378 1379 1380	1898884 1 90 1641 1 90 44 00	2 616 662 152 2 622 362939 2 628 072000	37-1214224 37-1348893 37*1483512	11-1279817 11-1306729 11-1333628	7256894 7251632 7246377
1381 1382 1383	1 90 7 1 61 1 90 99 24 1 91 26 89	2633789341 2 639 514968 2 645 248 887	37-1618084 37-1752606 37-1887079	11-1360514 11-1387386 11-1414246	7241 130 7235890 7230658
1384 1385 1386	1 91 54 56 1 91 8225 1 9209 96	2650991 104 2 656 741 625 2 662 500456	37-2021505 37-2155881 37-2290209	11-1441093 11-1467926 1 1- 1494747	7225434 7220217 72150C7
1387 1388 1389	1 92 37 69 1926544 1 92 93 21	2 668 267 603 2 674043 072 2679826869	37-2424489 37-2558720 37-2692903	11-1521555 "•1548350 11-1575133	7209805 72046 1 1 7199424
1390 I391 1392	1 93 21 00 1 93 48 81 1 93 76 64	2 685 619 ceo 2691419471 2697228288	37-2827037 37-2961124 37-3095162	11-1601903 11*1628659 11-1655403	7194245 7189073 7183908
1393 1394 1395	1940449 1 94 32 36 1 946025	2703045457 2 708 870984 2714704875	37-3229152 37-3363094 37-3496988	11-1682134 11-1708852 11-1735558	7178751 7173601 7168459
1396 1397 1398	19488 16 1 95 1609 1954404	2 720 547 136 .2 726 397 773 2 732 256 792	37-3630834 37*3764632 37-3898382	11-1762250 11-1788930 11-1815598	7163324 7158196 7153076
1399 1400	1957201 1 960000	2738 I24 I99 2 744 OOO OOO	37-4032084 37-4165738	11-1842252 11-1868894	7147963 7142857

28

Num.	Square.	Cube.	Squ. Root.	Cube Root.	fiecipr. •000
140 1 1402 1403 1404 1405 1406	1 9628 01 1 96 5604 1 96 8409	2 749 884201 2755776808 2 761 677 827	37-4299345 37-4432904 37-4566416	11-1895523 11-1922139 11-1948743	7137759 7132668 7127584
1 97 12 16 1974025 1976836	2767 587264 2773505 125 277943i4i6	37-4699880 37-4833296 37-4966665	"*I975334 11-2001913 11-2028479	7122507 7"7438 7112376
1407 1408 1409	1979649 1 982464 1 98 52 81	2 785 366 143 2791 309 312 2 797260929	37-5099987 37-5233261 37-5366487	11*2055032 11-2081573 11-2108101	7107321 7102273 7097232
T410 1411 1412	1 98 81 00 1 990921 1993744	2 803 221 000 2 809 189 531 2815 166528	37-5499667 37-5632799 37*5765885	11-2134617 II2l6lI20 112187611	7092199 7087172 7082153
1413 1414 1415	1996569 1999396 2002225	2 821 151 997 2 827 145 944 2833148375	37-5898922 37-6031913 37*6164857	11-2214089 11-2240554 11-2267007	7077141 7072136 7067138
1416 1417 1418 1419 1420 142 1	200 50 56 20078 89 201 0724	2 839 159296 2 845 178 713 2 851 206 632	37-6297754 37-6430604 37*6563407	11-2293448 11-2319876 11-2346292	7062147 7057163 7052186
201 35 61 201 6400 201 9241	2857243059 2 863 288000 2 869 341 461	37-6696164 37-6828874 37-6961536	112372696 112399087 11*2425465	7047216 7042254 7037298
1422 1423 1424 1425 1426 1427	2 02 20 84 2 02 49 29 2 02 77 76	2875403448 2881473967 2 887 553024	37-7094153 37-7226722 37-7359245	112451831 112478185 11*2504527	7032349 7027407 7022472
2030625 2033476 203 63 29	2 893 640625 2899736776 2905 841483	37-7491722 37-7624152 37*7756535	112530856 11-2557173 112583478	7017544 7012623 7007708
1428 1429 1430	203 91 84 2042041 2 04 49 00	29Ii95475* 2918076 589 2924207000	377888873 37-8021163 378153408	11*2609770 11-2636050 11-2662318	7002801 6997901 6993007
H3 1 1432 1433	2047761 2 05 06 24 2053489	2 93o 345 991 2 936 493 568 2 942 649 737	378285606 37-8417759 378549864	11-2688573 112714816 112741047	6988120 6983240 6978367
H34 '435 1436	20563 56 2059225 2062096	2 948 8 14 504 2954987875 2961 169 856	37-8681924 37*8813938 37-8945906	112767266 112793472 11*2819666	6973501 6968641 6963788
"437 H38 1439	2 06 49 69 206 7844 2070721	2967 360453 2 973 559672 2979767519	37-9077828 37-9209704 37-934I535	112845849 112872019 11*2898177	6958942 6954103 6949270
1440 1441 1442	207 3600 2 07 64 8 1 2079364	2985984000 2992209 121 2998442888	37-94733I9 37-9605058 37-9736751	112924323 112950457 11-2976579	6944444 6939625 6934813
1443 1444 1445	2 08 22 49 208 51 36 208 8025	3 004 685 307 3010936 384 3017 196 125	37-9868398 38*0000000 38-0131556	11-3002688 113028786 113054871	6930007 6925208 6920415
1446 1447 1448	20909 16 209 3809 2 09 67 04	3023464536 3 029 741 623 3036027392	38-0263067 38-0394532 38-0525952	113080945 1 i;3 107006 113133056	6915629 6910850 6906078
1449 1450	2099601 2 1025 00	3 042 321 849 3 048 625 000	38-0657326 38-0788655	113159094 113185119	6901312 6896552

-9

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. *oco
1451 1452 H53 H54 H55 1456	2 10 5401 2 1083 04 2 11 1209	3054936851 3 061 257408 3 067 586 677	38-0919939 38*1051178 38-1182371	11-3211132 11-3237134 11-3263124	6891799 6887052 6882312
2 11 41 16 2 11 70 25 2 11 99 36	3 073 924664 3 080271 375 3086626816	38-1313519 38-1444622 38-1575681	11-3289102 11-3315067 11-3341022	6877579 6872852 6868132
H57 1458 J459 1460 146 1 1462	2 122849 2 12 57 64 2 128681	3092990993 3099363912 3 io5 745 579	38*1706693 38-1837662 38-1968585	11-3366964 11-3392894 11-3418813	6863418 6858711 6854010
2 13 1600 2134521 2 13 7444	3 112 136000 3118535181 3 124 943 128	38-2099463 38-2230297 38-2361085	II-34447I9 11-3470614 11-3496497	6849315 6844627 6835945
1463 1464 1465	2 1403 69 2 14 32 96 • 2 146225	3 131 359847 3 137 785 344 3 144219625	38-2491829 38-2622529 38-2753184	11-3522368 11-3548227 11-3574075	6835270 6830601 6825939
1466 1467 1468 1469 1470 147 1	2 1491 56 2 15 2089 2 15 5024	3 150662 696 3 157 "4 563 3 163575232	38-2883794 38-3014360 38-3144881	11-3599911 11-3625735 II#365i547	6821282 6816633 6811989
2 15 79 61 2 16 0900 2 16 3841	3 170044709 3 176 523 000 3 183010 in	38-3275358 38-3405790 38-3536I78	11-3677347 11-3703136 11-3728914	6807352 6802721 679S097
1472 H73 1474.	2166784 2 1697 29 2 17 26 76	3 189 506048 3 196010 817 3202524424	38-3666522 38*3796821 38-3927076	11-3754679 11-3780433 11-3806175	6793478 6788866 6784261
1475 1476 1477	2175625 2178576 2 18 15 29	3 209046 875 3215578 176 3 222 118 333	38-4057287 38-4187454 38-43I7577	11-3831906 11-3857625 11-3883332	6779661 6775068 677048 1
1478 H79 1480	2 184484 2 18 7441 2 19 0400	3 228 667 352 3235225239 3 241 792 000	38-4447656 38-4577691 38-4707681	11-3909028 11-3934712 11-3960384	6765900 6761325 6756757
148 1 1482 1483	2 19 33 61 2 19 63 24 2 19 92 89	3 248 367 641 3254952168 3261545587	38-4837627 38-4967530 38-509739°	11-3986045 11-4011695 "•4037332	6752194 6747638 6743088
1484 1485 i486 1487 1488 1489	2 20 22 56 2 20 52 25 22081 96	3 268 147 904 3274759125 3 281 379256	38*5227206 38-5356977 38-5486705	11-4062959 11-4088574 11-4114177	6738544 6734007 6729475
221 11 69 2214144 221 71 21	3 288 008 303 3 294 646 272 3 301 293 169	38-5616389 38*5746030 38-5875627	11-4139769 11-4165349 11-4190918	6724950 6720430 6715917
1490 149 1 1492	2 2201 00 222 30 81 2 22 60 64	3 307 949 000 3314613771 3 321287488	38*6005181 38-6134691 38-6264158	11-4216476 11-4242022 11-4267556	67 1 1409 6706908 6702413
1493 1494 H95	2 22 90 49 223 20 36 223 5025	3327970157 3334661784 3341362375	38-6393582 386522962 386652299	11-4293079 11-4318591 11-4344092	6697924 6693440 6688963
1496 H97 1498 1499 1500	2 23 80 16 2 24 10 09 2 24 40 04	3348071936 3 354 79°473 3361 517992	38-6781593 38*6910843 38-7040050	11-4369581 II-4395059 11-4420525	66S4492 6680027 6675567
2 247001 2 2 5 00 00	3368254499 3 375 000000	38-7169214 38-7298335	"•4445980 11-4471424	6671114 6666667

30

Xum.l Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •ceo
1501 1502 1503	225 3001 2 25 60 04 225 9009	3 381 754 501 3 388518008 3395290527	38-7427412 38-7556447 38*7685439	11-4496857 11-4522278 11-4547688	6662225 6657790 665336c
1504 1505 1506	2 26 20 16 2 26 5025 2 26 80 36	3 402 072 064 3408 862 625 3415 662216	38-7814389 38-7943294 38-8072158	11-4573087 11-4598474 11-4623850	6648936 6644518 6640106
1507 1508 1509	2 27 1049 2 27 40 64 227 7081	3 422 470 843 3429288 512 3436 1 15 229	38-8200978 38-8329757 38*8458491	11-4649215 11-4674568 11-4699911	6635700 6631300 6626905
1510 1511 1512	228 01 00 228 31 21 228 6144	3442 951 000 3449795831 3 456 649 728	38-8587184 38'87I5834 38-8844442	11-4725242 11-4750562 11-4775871	6622517 6618134 6613757
1513 I5M- 1515	228 91 69 2 29 21 96 2 29 5225	3463512697 3470384744 3477265875	38*8973006 38-9101529 38-9230009	11-4801169 114826455 114851731	6609385 6605020 6600660
1516 1517 i5r8	22982 56 2 30 12 89 2 30 43 24	3484 156096 3491055413 3497963832	38-9358447 38-9486841 38-9615194	114876995 114902249 11-4927491	6596306 6591958 6587615
1519 1520 1521 1522 1523 1524	2 30 73 61 2 3 1 04 00 2 31 3441	3504881359 3 511 808000 3 518 743 761	38-9743505 38-9871774 39-0000000	114952722 n'4977942 115003151	6583278 6578947 6574622
2 3 T 64 84 2319529 2322576	3 525 688 648 3 532 642 667 3 539 6°5 824	390128184 390256326 39-0384426	115028348 II'5°53535 115078711	6570302 6565988 6561680
1525 1526 1527	2 32 5625 2 32 8676 233 1729	3 546 578 125 3 553 559 576 3560550183	39-0512483 39-0640499 39-0768473	115103876 115129030 ii-5i54i73	6557377 6553080 6548788
1528 1529 I530	2 33 47 84 233784I 2 34 09 OO	3 567 549 952 3574558889 3581577000	390896406 391024296 39*1152144	115179305 115204425 "•5**9535	6544503 6540222 6535948
1532 "553	2343961 2 34 70 24 2 350089	3 588 604291 3595640768 3 602 686437	39-1279951 39-1407716 39'J535439	11-5254634 11-5279722 ii-5304799	6531679 6527415 6523157
*534 !535 1536	2353156 2 35 62 25 2359296	3 609 741 304 3616805375 3623878656	39-1663120 39-1790760 39-1918359	11-5329865 115354920 115379965	6518905 6514658 6510417
I537 1538 1539	2 36 23 69 2365444 2 36 85 21	3630961 153 3 638 052 872 3 645 153 819	392045915 392173431 39*2300905	115404998 115430021 "*5455°33	6506181 6501951 6497726
1540 1 541 1542	2 37 160O 2 3746 8l 2 37 77 64	3 652 264 oco 3659383421 3666512088	39-2428337 39*2555728 39-2683078	115480034 115505025 11*5530004	6493506 6489293 6485084
J543 1544 1545	2 38 0849 2383936 2387025	3 673 650007 3 680797 184 3687953625	39-2810387 39*2937654 39-3064880	"'5554973 "•5579931 11-5604878	6480881 6476684 6472492
1546 1547 1548	2 3901 16 2 39 3209 2 39 63 04	3695 119 336 3 702 294 323 3 709 478 59*	39-3192065 39-3319208 39-3446311	11-5629815 "•5654740 "•5679655	6468305 6464124 6459948
1549 1550	2399401 2402500	3 716672 149 3 723 875000	39*3573373 39-3700394	"•5704559 11-5729453	6455778 64SI6I3

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •000
55 1552 1553	240 5601 2 40 87 04 241 18 09	3731087151 3 738 308 608 3 745 539 377	39-3827373 39395431 39*4081210	"•5754336 11-5779208 11*5804069	6447453 6443299 6439150
1554 1555 1556	241 49 16 241 8025 242 11 36	3752779464 3 760028 875 3 767287616	394208067 394334883 39-4461658	115828919 "•5853759 115878588	6435006 6430868 6426735
1557 1558 *559	2 42 42 49 2427364 2 43 04 8 1	3 774 555693 3 781 833 112 3 789 119 879	39*4588393 39-4715087 39-4841740	115903407 115928215 11*5953013	6422608 6418485 6414368
1560 1561 1562	243 3600 2436721 2439844	3 796416000 3 803 721 481 3 811 036 328	39-4968353 39-5094925 39-5221457	"•5977799 116002576 116027342	6410256 6406150 6402049
1563 1564 1565	24429 69 2 44 60 96 2449225	3 818 360 547 3 825 694 144 3833037125	395347948 395474399 39-5600809	116052097 116076841 11*6101575	6397953 6393862 6389776
1566 1567 1568	2452356 2455489 2 45 86 24	3 840 389496 3847751263 3855122432	39-5727179 39-5853508 39*5979797	11*6126299 11-6151012 11-6175715	6385696 6381621 637755*
1569 1570 1571	246 17 61 2 46 49 00 246 8041	3 862 503 009 3 869 893 000 3 877 292 41 1	39-6106046 39-6232255 39-6358424	116200407 11-6225088 116249759	6373486 6369427 6365372
1572 1573 1574	247 11 84 2474329 2 47 74 76	3 884701248 3 892 119 517 3 899 547 224	39-6484552 39*6610640 39-6736688	116274420 116299070 11-6323710	6361323 6357279 6353240
1575 1576 1577	2480625 2483776 2 48 69 29	3906984375 3914430976 3 921 887033	39-6862696 396988665 397"4593	11-6348339 11-6372957 11-6397566	6349206 6345178 634**54
1578 1579 1580	2 49 00 84 2493241 2 49 64 CO	3 929 35*552 3936827539 3 944312000	397240481 397366329 39*7492138	11*6422164 11-6446751 11-6471329	6337136 6333122 6329114
1581 1582 1583	2499561 2 50 27 24 2 50 58 89	3 951 805 941 3959309368 3 966 822 287	39-7617907 39*7743636 39-7869325	11-6495895 11-6520452 11-6544998	6325111 6321113 6317119
1584 1585 1586 1587 1588 1589	2 5090 56 2 51 2225 2515396	3 974 344 7°4 3 981 876625 3 989418056	397994975 398120585 39-8246155	11-6569534 11-6594059 11*6618574	6313131 6309148 6305170
2 51 8569 2521744 2524921	3 996969003 4004529472 4012099469	39-8371686 39-8497177 39-8622628	116643079 116667574 11-6692058	6301197 6297229 6293266
1590 1591 1592	2 52 81 00 2 53 1281 2534464	4019 679000 4027 268071 4034866688	39-8748040 39*8873413 39-8998747	116716532 116740996 11*6765449	6289308 6285355 6281407
1593 1594 1595	2537649 2 5408 36 2544025	4.042474857 4050092 584 4057 719 87^	399124041 399249295 39*9374511	11-6789892 116814325 116838748	6277464 6273526 6269592
1596 1597 1598	2 5472 16 2550409 2553604	4065 356736 4.73003173 4 ^80659 192	39-9499687 39*9624824 39-9749922	11*6863161 11-6887563 11-6911955	6265664 6261741 6257822
1599 1600	2 55 6801 2 560000	4 J88324799 4 396 000 000	39-9874980 40-0000000	11-6936337 11*6960709	6253909 6250000

32

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •000
1601 1602 1603	2 56 3201 2 56 64 04 2 56 9609	4 103 684801 4 in 379208 4 119 083 227	400124980 400249922 40*0374824	116985071 117009422 11*7033764	6246096 6242197 6238303
1604 1605 1606	2 5728 16 2 576025 2579236	4 126 796 864 4 134 520 125 4 142 253 016	400499688 400624512 40*0749298	117058095 117082417 11*7106728	6234414 6230530 6226650
1607 1608 1609 1610 1611 1612	2582449 2 58 56 64 2 588881	4 i49 995 543 4 157 747 712 4165509529	400874045 400998753 40*1123423	117131029 117155320 11*7179601	6222775 6218905 6215040
2 59 21 00 2595321 2598544	4 173 281 000 4 181 062 131 4188852928	401248053 401372645 40*1497198	117203872 117228133 11*7252384	6211180 6207325 6203474
1613 1614 1615 76^6 1617 1618	2 60 17 69 2 6049 96 2 608225	4196653397 4204463544 4212283 375	401621713 401746188 40*1870626	117276625 117300855 11*7325076	6199628 6195787 6191950
2 61 1456 26146 89 2 61 79 24	4220 112 896 4227 952 113 4235 801 032	401995025 402119385 40*2243707	117349286 117373487 11*7397677	6188119 6184292 6180470
1619 1620 1621	2 62 ii 61 2624400 2627641	4243659659 4251 528 coo 4259406061	402367990 402492236 40*2616443	117421858 117446029 11*7470190	6176652 6172840 6169031
1622 1623 1624	2630884 2 6341 29 2637376	4267293 848 4275 191 367 4283098 624	40274061 1 402864742 40*2988834	117494341 117518482 11*7542613	6165228 6 16 1429 6157635
1625 1626 1627	2 640625 2643876 2 64 7 1 29	4291 015 625 4298942376 4306878883	403112888 403236903 40*3360881	117566734 117590846 11*7614947	6153846 6150062 6146282
1628 1629 1630 1631 1632 1633	26503 84 265 3641 2 65 6900	4314825 152 4322 781 189 4330747000	403484820 403608721 40*3732585	117639039 117663121 11*7687193	6142506 6l38735 6134969
2 6601 61 2 66 34 24 2666689	4338722591 4 346 707 968 4 354 703 137	403856410 403980198 40*4103947	117711255 117735306 11*7759349	6131208 6 12745 1 6123699
l634 1635 1636	2 66 99 56 267 3225 2 67 6496	4 362 708 104 4370722875 4 378 747 456	404227658 404351332 40*4474968	117783381 117807404 11*7831417	^119951 6116208 6 1 12469
1637 1638 1639	267 97 69 268 3044 2 68 63 21	4386781853 4394826072 4402 880 119	404598566 404722127 40*4845649	117855420 117879414 11*7903397	6108735 6105006 6101281
1640 1641 1642 1643 1644 1645	2 68 96 00 2692881 2 69 61 64	4410944000 4419017721 4427 101 288	404969135 405092582 40*5215992	117927371 "•7951335 117975289	6097561 6093845 6090134
2699449 2 7027 36 2706025	4435194707 4443297984 4451411 125	405339364 405462699 40*5585996	117999234 118023169 11*8047094	6086427 6082725 6079027
1646 1647 1648	2 7093 16 2 71 2609 2715904	4459 534 i36 4467 667023 4475809792	405709255 405832477 40*5955663	118071010 118094916 11*8118812	6o75334 6071645 6067961
j 649 1650	2 71 9201 2 722500	4483962449 4492 125 000	406078810 406201920	118142698 118166576	6064281 6060606

33

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •oco
1651 1652 1653	2 72 5801 2 72 9 1 04 2732409	4500297451 4 508479808 4516672077	40-6324993 406448029 406571027	118190443 118214301 11*8238149	6056935 6053269 6049607
1654 1655 1656 1657 1658 1659	2735716 2739025 2742336	4524874264 4533086375 4541 308416	406693988 406816912 40*6939799	118261987 118285816 11*8309634	6045949 6042296 6038647
2745649 2 74 89 64 2 75 22 81	4 549 54° 393 4557782312 4566034 179	407062648 407185461 40*7308237	11-8333444 11-8357244 11-8381034	6035C03 6031363 6027728
1660 1661 1662	2 75 5600 2758921 2 76 2244	4 574 296 coo 4582567781 4 59° 849 528	407430976 4C7553677 407676342	11-8404815 11-8428586 11*8452348	6024096 6020470 6016847
1663 1664 1665	2765569 2768896 2 77 2225	4 599 J4i H7 4 607 442 944 4615754625	407798970 407921561 40*8044115	118476100 118499843 11*8523576	6013229 6009615 6006006
1666 1667 1668	2775556 2778889 2 78 2224	4624076 296 4632407963 4640749632	40-8166633 40-8289113 40*8.411557	118547299 118571014 11*8594719	600240 J 5998800 5995204
1669 1670 1671	2785561 2 78 8900 2 79 2241	4649 10 1 309 4657463000 4665834711	40-8533964 40-8656335 40*8778669	118618414 118642100 11*8665776	5991612 5988024 5984440
1672 1673 1674	2795584 2798929 2 80 22 76	4674216448 4682 608 217 4 691 010024	408900966 409023227 40*9145451	11-8689443 11-8713100 11-8736748	5980861 5977286 5973716
1675 1676 1677	2 80 5625 2808976 2 81 23 29	4699421875 4 707 843 776 4716275733	40*9267638 40-9389790 40-9511905	118760387 118784016 11*8807636	5970149 5966587 5963029
1678 1679 1680	281 5684 281 9041 2 82 24 00	4724717752 4 733 169839 4741 632 coo	409633983 409756025 40*9878031	11883x246 118854847 11*8878439	5959476 5955926 5952381
1681 1682 1683	2 82 5761 2 82 91 24 283 2489	4750 104 241 4758586568 4767078987	4ioccoooo 410121933 41-0243830	118902022 118925595 11-8949159	5948840 5945 3c 3 5941771
1684 1685 1686	283 5856 2 83 92 25 2 8425 96 2 84 59 69 2849344 2 85 27 21	4775581504 4784094125 4792616 856	410365691 410487515 41*0609303	11-8972713 11-8996258 11*9019793	5938242 5934718 5931198
1687 1688 1689 1690 1691 1692	4801 149 703 4809 692 672 4818 245 769	410731055 410852772 41*0974452	11-9043319 11-9066836 11-9090344	5927682 5924171 5920663
2 85 6100 2 85 94 81 2 86 28 64	4 826 809 000 4835382371 4843965888	411096096 411217704 41*1339276	11-9113843 119137332 119160812	5917160 5913661 5910165
1693 1694 1695	2 86 6249 2 86 96 36 2 87 3025	4852559557 4861 163 384 4869777375	411460812 411582313 41*1703777	119184283 119207744 11*9231196	5906675 5903188 5899705
1696 1697 1608 1699 1700	2 87 64 16 2879809 2 88 3204 2 88~66oT 2 89 0000	4 878401 536 4887035873 4895 680 392	411825206 411946599 41*2067956	119254639 119278073 119301497 119324913 11*9348319	5896226 5892752 5889282 5885815 5882353
4904335099 4913 coo coo	41-2189277 41*2310563

34

Num. 1701 1702 1703 1704 1705 1706	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •000
289 3401 2 89 68 04 2 90 02 09	4921 675 101 4930 360408 4939055927 4947761664 4956477625 4965 203 816	412431812 41-2553027 412674205	11-9371716 11-9395104 11-9418482	5878895 5875441 5871991
2 90 36 16 2 90 7025 2 91 0436 291 3849 2 9 1 72 64 29206 81	41-2795349 41-2916456 41-3037529	11-9441852 11-9465213 11-9488564	5868545 5865103 5861665
1707 1708 1709	4973940243 4982 686912 4991443829	41-3158565 41-3279566 41-3400532	11-9511906 II*9535239 11-9558563	5858231 5854801 5851375
1710 1711 1712 1713 1714 7S 1716 1717 1718 1719 1720 1721	2 9241 00 2 92 75 21 2930944	5 000 211 000 5 008 988431 5 017 776 128	41-3521463 41-3642358 41-3763217	11-9581878 11-9605184 11-9628481	5847953 5844535 5841121
2934369 2937796 2 94 12 25	5026574097 5035382344 5 044200 875	41-3884042 41-4004831 41-4125585	11-9651768 11-9675047 11-9698317	5837712 5834306 5830904
2944656 29480 89 2951524	5 053 029 696 5061 868 813 5 070718 232	41-4246304 41-4366987 41-4487636	11-9721577 11-9744829 11-9768071	5827506 58241 12 5820722
2954961 2 95 84OO 2 96 1841	5 079 577 959 5 088 448 000 5097328361	41-4608249 414728827 414849370	11-9791304 11-9814528 11-9837744	5817336 5813953 5810575
1722 1723 1724	2 96 52 84 2 96 87 29 2 97 21 76	5 106 219048 5 115 120067 5 124 03 1 424	41-4969878 41-5090351 41-5210790	11-9860950 11-9884148 11-9907336	5807201 580383.1 5800464
1725 1726 1727	2975625 2979076 2 98 25 29	5 132 953 125 5 141 885 176 5 150827583	4i'533"93 41-5451561 41*5571895	11-9930516 11-9953686 11-9976848	5797101 5793743 5790388
1728 1729 1730	2 98 59 84 298 944I 2 99 29 OO	5 159780352 5 l68 743 4S9 5 177 717 000	41-5692194 41-5812457 41-5932686	12'OOCOOOO 12-0023144 12-0046278	5787037 5783690 5780347
1731 1732 1733	2 99 63 6l 2 99 98 24 3 00 32 89	5 186 700 891 5 195 695 168 5204699837	41-6052881 41-6173041 41-6293166	12*0069404 12-0092521 12-0115629	5777008 5773672 5770340
1734 1735 1736	3 00 67 56 3 01 02 25 3 01 3696	5 213 714 904 5 222 740 375 5231776256 5240822553 5 249 879 272 5258946419	41-6413256 41-6533312 41*6653333	12-0138728 12-0161818 12*0184900	5767013 5763689 5760369
1737 1738 1739	3 01 71 69 3 02 06 44 3 0241 21	41-6773319 41*6893271 41-7013189	120207973 120231037 12*0254092	5757052 5753740 5750431
1740 1741 1742 1743 1744 1745	3 02 76 00 3 03 10 81 3 03 4564	5 268 024000 5277 112 021 5286210488	41-7133072 41-7252921 41-7372735	120277138 12-0300175 120323204	5747126 5743825 5740528
3038049 3 04I5 36 3045025	5295319407 5304438784 5313568625	41-7492515 41-7612260 41-7731971	120346223 120369233. 120392235 120415229 12-0438213 12-0461189	5737235 5733945 5730659
1746 1747 1748	30485 16 3 05 2009 3055504	5 322 708 936 5331859723 5 341 020992	41-7851648 41-7971291 41*8090899	5727377 5724098 5720824
1749 1750	305 9001 3 06 2500	5350192749 5 359 375 ceo	41-8210473 41-8330013	12-0484156 12*0507114	5717553 57142S6

35

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •000
1751 1752 1753	3 06 6001 3069504 3 07 3009	5368567751 5377771008 5386984777	41-8449519 41*8568991 41-8688428	120530063 120553003 !2-o575935	5711022 5707763 5704507
J754 J755 1756	30765 16 3 080025 3083536	5 396 209 064 5 405 443 875 5 414 689 216	41-8807832 41*8927201 41-9046537	120598859 120621773 12-0644679	5701254 5698006 5694761
1757 1758 1759	3087049 3 09 05 64 3 09 40 8 1	5423945093 5433211512 5 442 488 479	41-9165838 41-9285106 41-9404339	12-0667576 120690464 120713344	5691520 5688282 5685048
1760 1761 1762	3 09 76 00 3 10 11 21 3 104644	5451 776000 5461 074081 5470 382 728	4i'9523539 41-9642705 41-9761837	120736215 120759077 12-0781930	5681818 5678592 5675369
1763 1764 1765	3 10 8 1 69 3 11 16 96 3 115225	5479701947 5489031744 5498372125	41-9880935 42-0000000 42*0119031	120804775 120827612 12*0850439	5672150 5668934 5665722
1766 1767 1768	3 11 87 56 3 1222 89 3 12 58 24	5507723096 5 517084663 5 526456832	42*0238028 42-0356991 42-0475921	120873258 120896069 12*0918870	5662514 5659310 5656109
1769 1770 1771	3 12 93 61 3 13 29 00 3 i3644i	5535839609 5545233000 5554637011	42*0594817 42-0713679 42-0832508	120941664 120964449 12*0987226	5652911 5649718 5646527
1772 1773 1774	3 13 99 84 3 H35 29 3 147076	5 564051 648 5 573 476 917 5 582 912 824	42-0951304 42-1070065 42-1188794	12*1009993 12-1032753 12-1055503	5643341 5640158 5636979
1775 1776 1777	3 150625 3 15 41 76 3 157729	5 592 359 375 5 601 816 576 5 611 284433	42-1307488 42-1426150 42-1544778	121078245 121100979 12*1123704	5633803 5630631 5627462
1778 1779 1780	3 16 12 84 3 164841 3 16 8400	5 620762 952 5 630252 139 5 639 752000	42-1663373 42-1781934 42-1900462	121146420 12-1169128 121191827	.5624297 5621135 5617978
1781 1782 1783	3 17 1961 3 17 55 24 3 179089	5 649 262 541 5658783768 5668315687	42-2018957 42-2137418 42*2255846	121214518 121237200 12-1259874	5614823 5611672 5608525 56o7^87 5602241 5599io4
1784 1785 1786	3 182656 3 18 6225 3 189796	5677858304 5 687 411 625 5696975656	42-2374242 422492603 422610932	12*1282539 12-1305197 12-1327845
1787 1788 1789	3^33 69 3196944 3 2005 21	5706550403 5716135872 5725732069	422729227 422847490 42*2965719	12-1350485 12-1373117 12-1395740	5595971 5592841 5589715
1790 1791 1792	3 2041 00 3 2076 81 3 21 12 64	5 735 339ooo 5 744 956 671 5754585088	423083916 423202079 42*3320210	12-1418355 12-1440961 12-1463559	5586592 5583473 558o357
1793 1794 1795	3214849 3 21 8436 3 22 2025	5764224257 5773874184 5 783 534875	423438307 423556371 42*3674403	121486148 121508729 12*1531302	5577245 5574136 5571031
1796 1797 1798	3 22 56 16 3 22 92 09 323 2804	5793206336 5802888573 5 812 581 592	42-3792402 423910368 424028301	121553866 121576422 12*1598970	5567929 5564830 5561735I
1799 J 3 23 6401 1800 1 3 240000	5822285399 5 832 000 boo	424146201 424264069	121621509 121644040	5558644I 5555556]

36

Num.	Square.	Cube.	Squ. Root.	Cube Hoot.	Itecipr. •000
1801 1802 1803	3 243601 3 24 72 04 3 25 08 09	5 841 725 401 5 851 461 608 5 861 208 627	42-4381903 42-4499705 42-4617475	12-1666562 12*1689076 12-1711582	5552471 554939° 5546312
1804 1805 1806	3254416 3 25 8025 3 26 16 36	5 870966464 5880735125 5 890 514616	42-4735212 42-4852916 42-4970587	12-1734079 12-1756569 12-1779050	5543237 5540166 5537099
1807 1808 1809 1810 1811 1812	3265249 3 26 88 64 3 2724 81	5 900 304 943 5 910 106 112 5 919918 129	42-5088226 42-5205833 42-5323406	12-1801522 12-1823987 12-1846443	5534034 5530973 5527916
3 27 61 00 3279721 3283344	5 929 741 000 5 939 574 731 5949419328	42-5440948 42-5558456 42-5675933	12-1868891 12-1891331 12-1913762	5524862 5521811 5518764
1813 1814 1815 7876 1817 1818	3 28 69 69 3290596 3294225	5959274797 5 969 141 144 5979018375	42*5793377 42-5910789 42-6028168	12-1936185 12-1958599 12-1981006	5515720 5512679 5509642
3297856 3301489 3305124	5 988 906496 5998805513 6 008 715432	42-6145515 42*6262829 42-6380112	12*2003404 12-2025794 12-2048176	5506608 5503577 5500550
1819 1820 1821 1822 1823 1824 1825 1826 1827	3308761 3 3 1 24 00 331 6041	6 018 636259 6 028 568 000 6038 510 661	42*6497362 42-6614580 42-6731766	12-2070549 12-2092915 12-2115272	5497526 5494505 5491488
3 3i9684 3323329 3 32 69 76	6 048 464 248 6058428 767 6 068 404 224	42-6848919 42-6966040 42-7083130	12*2137621 12-2x59962 12-2182295	5488474 5485464 5482456
3330625 3 33 42 76 3337929	6078 390625 6088387976 6098 396 283	42-7200187 42-7317212 42-7434206	12-2204620 12-2226936 12-2249244	5479452 5476451 5473454
1828 1829 1830	3 3415 84 3 34 52 41 3348900	6 108 415 552 6 118445 789 6 128487000	42*7551167 42-7668095 42-7784992	12-2271544 12-2293836 12*2316x20	5470460 5467469 5464481
1831 1832 1833	3352561 3356224 33598 89	6 138 539 191 6 148 602 368 6 158676 537	42-7901858 42-8018691 42-8135492	122338396 122360663 12*2382923	5461496 54585^ 5455537
1834 1835 1836	3 36 35 56 3367225 3370896	6 168 761 704 6178857875 6 188965056	42-8252262 42-8368999 42-8485706	12-2405174 12-2427418 12-2449653	5452563 544959 1 5446623
1837 1838 1839	3 37 45 69 3378244 3 38 19 21	6 199083 253 6 209 212472 6 219 352 719	42*8602380 42-8719022 42-8835633	12-2471880 12-2494099 12*2516310	5443658 5440696 5437738 5434783 5431831 5428882
1840 1841 1842 1843 1844 1845	3 38 5600 3 389281 3 39 29 64	6 229 504000 6 239 666 321 6249839688	42*8952212 42-9068759 42-9185275	12-2538513 12-2560708 12*2582895
3 39 6649 34003 36 3404025	6260024 107 6 270219 584 6 280426 125	42-9301759 42-9418211 42-9534632	12-2605074 122627245 122649408	5425936 5422993 5420054
1846 1847 1848	3407716 341 1409 341 5104	6 290643 736 6 300872423 6 311 112 192	42-9651021 42-9767379 42-9883705	122671563 122693710 12-2715849	5417118 5414185 5411255
1849 1850	341 8801 34225 00	6 321 363049 6 331 625 000	43-0000000 43-01x6263	122737980 122760103	5408329 5405405

37

Num. 1851 1852 1853	Square.	Cube.	Squ. Root.	Cube Hoot.	Kecipr. •000
342 6201 3 42 99 °4 3433609	6 341 898051 6 352 182208 6362477477	43-0232495 43-0348696 43-0464865	12*2782218 12-2804325 12-2826424	5402485 5399568 5396654
l854 1855 1856	34373 16 3441025 3 4447 36	6 372 783 864 6383 101375 6 393 430016	43-0581003 43-0697109 43-0813185	12-2848515 12-2870598 12-2892673	5393743 5390836 5387931
1857 1858 1859 i860 1861 1862 "1863 1864 1865	3448449 3452164 3455881 3 45 96 °° 3463321 3467044	6403769793 6414 120 712 6424482779	43-0929228 43-1045241 43-1161223	122914740 122936800 12-2958851	5385030 5382131 5379236
6434856 000 6 445 240 38 1 6455635928	43-1277173 43-1393092 43*1508980	12-2980895 12-3002930 12-3024958	5376344 5373455 5370569
3 47 07 69 3474496 3478225	6 466 042 647 6 476 460 544 6486889625	43-1624837 43-1740663 43-1856458	12-3046978 12-3068990 12-3090994	5367687 5364807 5361930
1866 1867 1868	3481956 3485689 3 48 94 24	6497329896 6507781363 6 518 244032	43-1972221 43-2087954 43*2203656	12-3112991 12-3134979 12-3156959	5359057 5356186 5353319
1869 1870 1871 1872 1873 1874 1875 1876 1877	349 31 61 3 49 69 CO 3 500641	6 528 717 909 6 539203000 6 549 699 3"	43-2319326 43-2434966 43-2550575	12-3178932 12-3200897 12-3222854	5350455 5347594 5344735
3 50 43 84 3 5081 29 351 1876	6 560 206 848 6 570725 617 6 581 255 624 6591796875 6602 349 376 6612913 133	43-2666153 43-2781700 43-2897216	12-3244803 12-3266744 12-3288678	5341880 5339028 5336i79
3515625 3 5193 76 3523129	43-3012702 43-3128157 43*3243580	12-3310604 12-3332522 I2*3354432	5333333 5330490 5327651
1878 1879 1880	3 52 68 84 3530641 3 53 4400	6623488 152 6634074439 6 644 672 ceo	43-3358973 43'3474336 43-3589668	12-3376334 12-3398229 12-3420116	5324814 5321980 53949
1881 1882 1883	3538161 3 54i9*4 3 54 56 89	6655280841 6 665 900968 6676532387	43-3704969 43-3820239 4V3935479	12-3441995 12-3463866 12-3485730	5316321 5313496 5310674
1884 1885 1886	3 54 94 56 3 55 3225 3 556996	6 687 175 104 6697 829 125 6 708494456	43-4050688 43-4165867 43-4281015	12-3507586 12-3529434 12-3551274	5307856 5305040 5302227
1887 1888 1889	3560769 3 56 45 44 3 56 83 21	6 719 171 103 6 729 859 072 6740558369	43'4396i32 43-4511220 43-4626276	12-3573107 I2'3594932 12-3616749	5299417 5296610 5293806
1890 1891 1892	3 57 21 00 357 5881 3 57 96 64	6 751 269 coo 6 761 990971 6 772 724288	43-4741302 43-4856298 43-4971263	12-3638559 12-3660361 12-3682155	5291005 5288207 5285412
1893 1894 1895	3 58 3449 3587236 3591025	6783468957 6 794 224 984 6804992375	43-5086198 43-5201103 43'53i5977	12-3703941 12-3725721 12-3747492	5282620 5279831 5277045
1896 1897 1898	3 59 48 16 3598609 3 60 24 04	6815771136 6 826 561 273 6 837 362 792	43-5430821 43*5545635 43-5660418	12-3769255 12-3791011 12-3812759	5274262 527 148 1 5268704
1899 1900	3 60 6201 3 6 1 00 00	6 848 175 699 6 859 ceo coo	43-5775171 43-5889894	12-3834500 12-3856233	5265929 5263158

3S

Num.	Square.	Cube.	Squ. Root.	Cube Root.	Recipr. •000
1901 1902 1903	361 3801 3 61 7604 3 62 1409	6 869 835 701 6880682808 6 891 541 327	436004587 43-6119249 436233882	12-3877959 12-3899676 12-3921386	5260389 5257624 5254861 5252101 5249344 5246590
1904 1905 1906	3 62 52 16 3 629025 3632836	6 902 41 1 264 6913 292 625 6 924 185 416	43*6348485 43-6463057 43'6577599	12-3943089 12-3964784 12-3986471
1907 1908 1909	3636649 3 64 04 64 3 64 42 8 1	6935089643 6 946005 312 6956932429	43*6692111 43-6806593 43-6921045	12-4008151 12*4029823 12-4051488	5243838 5241090 5238345
1910 1911 1912 ^3 1914 '9*5 1916 1917 1918	3 64 8 1 00 3 65 19 21 3 65 57 44	6967 871 000 6 978 821 031 6989782528	43-7035467 43-7149860 43*7264222	12-4073145 12-4094794 12-4116436	5235602 5232862 5230126
3659569 3 66 33 96 3 667225	7000755497 7011739944 7022735875	43'7378554 43*7492857 43-7607129	124138070 12-4159697 124181316	5227392 5224660 5221932
3 67 10 56 3674889 3 67 87 24	7033743296 7044762 213 7055792632	43772i373 437835585 43-7949768	12-4202928 12*4224533 12-4246129	5219207 5216484 5213764
1919 1920 1921	3682561 3 68 64 00 3 690241	7066834559 7077 888 000 7088 952961	43-8063922 43-8178046 43-8292140	12-4267719 12-4289300 12-4310875	521 1047 5208333 5205622
1922 1923 1924	3 69 40 84 3697929 3701776	7 100 029 448 7 hi 117467 7 122217 024	43-8406204 438520239 438634244	12-4332441 124354001 I24375552	5202914 5200208 5*975^5
1925 1926 1927	3705625 3709476 3 7133 29	7 133 328 125 7144450776 7155584983	43-8748219 43-8862165 43-8976081	124397097 124418634 12-4440163	5194805 5192108 5 1 894 14 5186722 5184033

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