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TABLE XIII.

LOGARITHMIC SINES, COSINES, TANGENTS, AND

COTANGENTS.

N. B. - The minutes in the left-hand column of each page, increasing downwards, belong to the degrees at the top ; and those increasing upwards, in the right-hand column, belong to the degrees below.

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60

59 58 57 56 55 54 53 52 51 50

01

M. Sine 0 0.000000 1 6:463726 2 764756 3 940847 4 7.065786 5 162696 6 241877 7 308824 8 366816 9 417968 10 463725 11 70505118 12 542906 13 577668 14 609853 15 639816 16 667845 17 694173 18 718997 19 742477 20 764754 21 7.785943 22 806146 23 825451 24 843934 25 861662 26 878695 27 895085 28 910879 29 926119 30 940842 31 7.955082 32 968870 33 982233 34 995198 35 | 8.007787 36 020021 37 031919 38 043501 39 054781 40 065776 41 8.076500

086965

097183 44 107167 45 116926 46 126471 47 135810 48 144953 49 153907 50 162681 51 8.171280 52 179713 53 187985 54 196102 55 204070 56 211895 57 219581 58 227134 59 234557 60 241855

501717 293485 208231 161517 131968 111575 96653 85254 76263 68988 62981 57936 53641 49938 46714 43881 41372 39135 37127 35315 33672 32175 30805 29547 28388 27317 26323 25399 24538 23733 22980 22273 21608 20981 20390 19831 19302 18801 18325 17872 17441 17031 16639 16265 15908 15566 15238 14924 14622 14333 14054 13786 13529 13280 13041 12810 12527 12372 12164 11963

Cosine | D.

Tang. 10.000000

0.000000 0000CO 00 6.463726 000000 00 764756 000000 00 940847 000000 00 7.065786

000000 00 162696 9.999999 01 241878 999999 01 308825 999999 01 366817 999999

01

417970
999998 01 463727
9.999998 01 7:505120

999997 91 542909
999997 01 577672
999996 01 609857
999996 01 639820
999995

667849
999995 01 694179
999994 01 719003
999993 01 742484

999993 01 764761
9.999992 01 7.785951

999991 01 806155
999990 01

825460
999989 02 843944
999988 02 861674
999988 02 878708
999987 02 895099
999986 02 910894
999985 02 926134

999983 02 940858
9.999982 02 7.955100

999981 02 968889
999980

982253
999979

02

995219 999977

8.007809 999976 02 020045 999975 02 031945 999973 02 043527 999972 02 054809 999971 02 065806 9.999969 02 8.076531 999968 02 086997 999966 02 097217 999964 03 107202 999963 03 116963 999961 03 126510 999959 0.) 135851 999958

144996 999956

153952 999954 03 162727 9.999952

8171328 999950 03 179763 999948 03 188036 999946 03 196156 999944 03 204126 999942 04 211953 999940 04 219641 999938 04 227195 999936 04 234621 999934 04 241921 Sine 1 1 Cotang.

501717 293483 208231 161517 131969 111578 99653 85254 76263 68988 6298 57933 53642 49939 467 15 43882 41373 39136 37128 35136 33673 32176 30806 29519 28390 27318 26325 25401 24540 23735 22981 22275 21610 20983 20392 19833 19305 18803 18327 17874 17414 17034 16642 16268 15910 15568 15241 14927 14627 14336 14057 13790 13532 13284 13044 12814 12590 12376 12168 11967

1 Cotang.

Infinite. 13:536274

235244

059153 12:934214

837304 758122 691175 633183 582030

536273
12-494880

457091
422328
390143
360180
332151
305821
280997
257516

235239
12.214049

193845 174540 156056 138326 121292 104901 089106 073866

059142
12.044900

031111
017747

004781
11.992191

979955
968055
956473
945191

934194
11.923469

913003
902783
892797
883037
873490
864149
855004
846048

837273
11.828672

820237
811964
803844
795874
788047
780359
772805
765379

758079
!

Tang.

49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23

02

02

21 20

19 18 17 16 15 14 13 12

03

10

03

9 8

0

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1 M.

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M. 1 Sine 0 8.241855 1 249033 2 256094 3 263042 4 269881 5 276614 6 283243 7 289773 8 296207 9 302546 10 308794 11 8:314954 12 321027 13 327016 14 332924 15 338753 16

344504 17 350181 18 355783 19

361315 20

366777 21 8.372171 22 377499 23 382762 24 387962 25 393101 26

398179 27 403199 28 408161 29 413068 30 417919 31 8.422717 32 427462 33 432156 34 436800 35 441394 36 445941 37 450440 38 454893

459301 40 463665 41 8.467985 42 472263 43 476498 44 480693 45 484848 46 488963 47 493040 48 497078 49 501080 50 505045 51 8.508974 52 512867 53

516726 54 520551 55 524343 56 528102 57 531828 58 535523 39 539186 60 542819

1 Cosine

D. 11963 11768 11580 11398 11221 11050 10883 10721 10565 10413 10266 10122 9982 9847 9714 9586 9460 9338 9219 9103 8990 8880 8772 8667 8564 8464 8366 8271 8177 8086 7996 7909 7823 7740 7657 7577 7499 7422 7346 7273 7200 7129 7060 6991 6924 6859 6794 6731 6669 6608 6548 6489 6431 6375 6319 6264 6211 6158 6106 6055 6004

1 Cosine 9.999934 999932 999929 999927 999925 999922 999920 999918 999915 999913

999910 9.999907

999905 999902 999899 999897 999894 999891 999888 999885

999882 9.999879

999876 999873 999870 999867 999864 999861 999858 999854

999851 9.999848

999844 999841 999838 999834 999831 999827 999823 999820

999816
9.999812

999809
999805
999801
999797
999793
999790
999786
999782

999778
9.999774

999769
999765
999761
999757
989753
999748
999744
999740
999735

04 05 05 05 05 05 05 05 05 05 05 05 05 05 05 05 05 06 06 06 06 06 06 06 06 06

Tang. 8.241921

249102
256165
263115
269956
276691
283323
289856
296292
302634

308884 8.315046

321122 327114 333025 338856 344610 350289 355895 361430

366895 8.372292

377622
382889
388092
393234
398315
403338
408304
413213

418068 8.422869

427618 432315 436962 441560 446110 450613 455070 459481

463849
8.468172

472454
476693
480892
485050
489170
493250
497293
501298

505267
8.509200

513098 516961 520790 524586 528349 532080 535779 539447 543084 Cotang. I

D. 11967 11772 11584 11402 11225 11054 10887 10726 10570 10418 10270 10126 9987 9851 9719 9590 9465 9343 9224 9108 8995 8885 8777 8672 8570 8470 8371 8276 8182 8091 8002 7914 7830 7745 7663 7583 7505 7428 7352 7279 7206 7135 7066 6998 6931 6865 6801 6738 6676 6615 6555 6496 6439 6382 6326 6272 6218 6165 6113 6062 6012

1 Cotang. 111.758079

750898 743835 736885 730044 723309 716677 710144 703708 697366

691116 11.684954

678878 672886 666975 661144 655390 649711 644105 638570

633105 11.627708

622378 617111 611908 606766 601685 596662 591696 586787

581932 11:577131

572382 567685 563038 558440 553890 549387 544930 540519

536151 11.531828

527546 523307 519108 514950 510830 506750 502707 498702

494733 11:490800

486902 483039 479210 475414 471651 467920 464221 460553 456916

39

06

06 06 06 06 06 07 07 07

07 07 07 07 07 07

07

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M. 1

D.

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0 1 2 3 4 5 6 7 8 9 10

D. 07 07 07 08 08 08 08 08 08 08 08

08 08 08 08 08 08 08

08

11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27

Sine 8:542819

546422
549995
553539
557054
560540
563999
567431
570836
574214
577566
8.580892

584193
587469
590721
593948
597152
600332
603489
606623

609734
8.612823

615891
618937
621962
624965
627948
630911
633854
636776
639680
8 642563

645428
648274
651102
653911
656702
659475
662230
664968

667689
8.670393

673080 675751 678405 681043 683665 686272 688863 691438

693998 8.696543

699073 701589 704090 706577 709049 711507 713952 716383 718800 Cosine

29 39 31 32 33 34 35 36 37 38 39 40

6004 5955 5906 5858 5811 5765 5719 5674 5630 5587 5544 5702 5460 5419 5379 5339 5300 5261 5223 5186 5149 5112 5076 5041 5006 4972 4938 4904 4871 4839 4806 4775 4743 4712 4682 4652 4622 4592 4563 4535 4506 4479 4451 4424 4397 4370 4344 4318 4292 4267 4242 4217 4192 4168 4144 4121 4097 4074 4051 4029 4006

Cosine 9.999735

999731 999726 999722 999717 999713 999708 993704 999699 999694 999689 9.999685 999680 999675 999670 999665 999660 999655 999650 999645

999640 9.999635 999629 999621 999619 999614 999608 999603 999597 999592

999586 9.999581

999575 999570 999564 999558 999553 999547 999541 999535

999529 9.999524

999518 999512 999506 999500 999493 999487 999481 999475

999469 9.999463

999456 999450 999443 999437 999431 999424 999418 999411 999404

Sine

09 09 09 09 09 09 09 09 09 09 09 09 09 09 09 09 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11

1 Tang. 8.543084

546691 550268 553817 557336 560895 564291 567727 571137 574520

577877 8.581208

584514 587795 591051 594283 597492 600677 603839 606978

610094
8.613189

616262
619313
622343
625352
628340
631308
634256
637184

640093
8.642982

645853 648704 651537 654352 657149 659928 662689 665433

068160 8.670870 673563 676239 678900 681544 684172 686784 689381 691963

694529
8-697081

699617
702139
704646
707140
709618
712083
714534
716972

719396 1 Cotang. I

6012 5962 5914 5866 5819 5773 5727 5682 5638 5595 5552 5510 5468 5427 5387 5347 5308 5270 5232 5194 5158 5121 5085 5050 5015 4981 4947 4913 4880 4848 4816 4784 4753 4722 4691 4661 4631 4602 4573 4544 4526 4488 4461 4434 4417 4380 4354 4328 4303 4277 4252 4228 4203 4179 4155 4132 4108 4085 4062 4040 4017

Cotang. 11 456916

453309 449732 446183 442664 439172 435709 432273 428863 425480

422123 11:418792

415486 412205 408949 405717 402508 399323 396161 393022

389906 11.386811

383738 380687 377657 374648 371660 368692 365744 362816

359907 11.357018

354147 351296 348463 345648 342851 340072 337311 334567

331840 11.329130

326437 323761 321100 318456 315828 313216 310619 *308037

305471 11.302919

300383 297861 295354 292860 290382 287917 285465 283028 280604 Tang.

60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15

41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 50 57 58 59 60

13 12 11 10 9 8 7 6 5 4 3 2 1 0

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