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[merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][ocr errors][ocr errors][ocr errors][merged small][merged small][merged small][ocr errors][merged small][ocr errors][ocr errors][ocr errors][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][ocr errors][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][ocr errors][merged small]

50 0 55

56 0 570 58 1 0 1 11 21 3 50

1

89° 0' 0 46 0 47 0 48 0 49 0 50 0 51 0 52 0 53 10 0 36 0 370 380 390 400 41 0 42 0 42 10

0

[blocks in formation]

20

30

40 5010

0 27 0 28 0 28 0 29 0 300 310 310 32 20
0 18 0 18 0 18 0 19 0 20 0 20 0 21 0 22 30
0 90 90 90 10 0 10 0 10 0 11 0 11 40 Ο

0

0

2 8 03

987

[merged small][merged small][ocr errors]

0 0

90

01 0 00 010 00 010 0 50

5 5

D's

App. Alt.

10

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50

20

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50

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54' 55' 56' 57' 58' 59' 60' 61' " 83° 0'4.294247 4119/3992 3864 3737 3609 3482 3354 4244 4117 3989 38623734 3606 3479 3351 10 4242 4114 3987 3859 3731 3604 3476 3349 424041123984 3857 3729 3601 3474 3346 30 4237 41103982 3854 3727 3599 3471 3344 4235 4108 3980 3852 3724 3597 3469 3341 84° 0'4.294233 4105 3978 3850 3722 3594 8467 3339 10 4231 4103 3975 3848 372035923464 3337 4229 4101 3973 3846|3718|3590 3462 3334 4227 4099 3971 3844 3716 3588 3460 3332 4225 4097 3969 38423714 35863458 3330 4223 4095 3967 3840 37123584 3456 3328 85° 0'4.294222 4094 3966 3838 37103582 3454 3326 4220 4092 3964 3836 3708 3580 3452 3324 4218 4090 3962 3834 3706 3578 3450 3322 4217 4089 3960 3832 3704 3576 3448 3320 4215 4087 3959 3831 3703 3575 3447 3319 4214 4085 3957 3829 3701 3573 3445 3317

[ocr errors]

20

10

20

30

40

50

LOGARITHMS of the MOON'S APPARENT ALTITUDE.

MOON'S HORIZONTAL PARALLAX.

40

50

0

[blocks in formation]

0" 1" 2" 3" | 4" | 5′′ | 6" 7" 8" 9" 150 148 146 144 142 139 137 135 133 131 129 127 124 122 120 118 116 114 112 110 108 105 103 101 99 97 95 93 90 88 1 20 86 84 82 80 78 76 73 71 69 67 2 20 65 63 61 59 56 54 52 50 48 46 3 19 44 42 39 37 35 33 31 29 27 25 4 19 150 148 146 144 141 139 137 135 133 131 5 19 129127 124 122 120 118 116 114 112 110 6 19 107 105 103 101 99 97 95 93 90 88 7 18 86 84 82 80 78 75 73 71 69 67 8 18 65 63 60 58 56 54 52 50 48 46 9 18 43 41 39 37 35 33 31 29 26 24

0

10

20

30

40

50

[blocks in formation]

150 148 146 144 141 139 137 135 133 131 129 127 124 122 120 118116 114 112109 0'20 107 105 103 101 99 97 95 92 90 88 1 20 86 84 82 80 78 75 73 71 69 67 2 20 65 62 60 58 56 54 52 50 47 45 3 20 43 41 39 37 35 33 30 28 26 24 4 19 150 148 146 144 141 139 137 135 133 131 5 19 129 127 124 122 120 118 116 114 112 109 6 19 107 105 103 101 99 97 95 92 90 88 7 19 86 84 82 80 77 75 73 71 69 67 8 19 65 62 60 58 56 54 52 50 47 45 9 19 43 41 39 37 35 33 30 28 26 24 150 148 146 144 141 139 137 135 133 131 129 126 124 122 120 118 116 114 112 109 0' 20 107 105 103 101 99 97 94 92 90 88 1 20 86 84 82 79 77 75 73 71 69 67 2 20 65 62 60 58 56 54 52 49 47 45 3 20 43 41 39 37 35 32 30 28 26 24 4 20 150 148 146 144 141 139 137 135 133 131 5 20 129 126 124 122 120 118116114 112 109 6 20 107 105 103 101 99 97 94 92 90 88 7 19 86 84 82 79 77 75 73 71 69 67 8 19 65 62 60 58 56 54 52 49 47 45 9 19 43 41 39 37 35 32 30 28 26 24 150 148 146 144 141 139 137 135 133 131 0'20 129126 124 122 120 118 116 114 112109 1 20 107 105 103 101 99 97 94 92 90 88 2 20 86 84 82 79 77 75 73 71 69 67 3 20 65 62 60 58 56 54 52 49 47 45 4 20 43 41 39 37 35 32 30 28 26 24 5 20

[merged small][merged small][ocr errors][merged small][ocr errors][ocr errors]
[ocr errors][ocr errors]

3 4 5 6 7 9 10 12 14 16 18 20 22 24 26|28|30|32|34 36 38 40 45 50 55 60 65 70 75 80 85 90 211161921|22|23|23|24|24|24|23|22|22|21|21|21|20|20 1919 1918 17 16 15 14 13 1312121111 3121821 23 24 25 26 27 28|29|29|29|29|29|29|29|30|30|30|30|30|3030303030303030303030

LOGARITHMS of the SUм and DIFFERENCE.

SUM OR DIFFERENCE.

[blocks in formation]
[merged small][ocr errors][merged small][merged small][merged small]
[blocks in formation]

8.007794

065786

10

11

12

13

14

8.1626969.007787 9.2766149.4413949.5605409.653911 9.7306889.795881 204089 013917 279941 443674 562273 655309 731859 796889 241877 020021 283243 445941 563999 656702 733027 797894 12 276639 026011 286521 448196 565719 658090 734192 798897 13 308824 031919 289773 450440 567431 659475 735353

7.162696

8.9408429.241855 9.4179199.5428199.6396809.718800 9.785675
948020 245459 420324 544624

[blocks in formation]

641124 720004 786707

01234

642563 721204 787736

643998 722401 788762

463726 955082 249033 422717 546422 639817 962031 252578 425096 548212 764756 968870 256094 427462 549995 645428 723595 789787 4 7.861666 8.975603 9.2595829.4298159.551770 9.646853 9.7247859.790808 5 940847 982233 263042 432156 553539 648274 725972 791828 6 988764 266475 434484 555300 649690 727156 792845 7 995198 269881 436800 557054 651102 728337 793859 8 1169389.001538 273260 439103 558800 652508 729514 794872 9 10

[blocks in formation]
[blocks in formation]

8.338787 9.0377499.2930029.4526729.5691379.660855 9.7365129.800896 366816 043501 296207 454893 570836 662230 737667 393145 049178 299388 457103 572528 663602 738820 417968 054781 302546 459301 574214 664968 739969 441449 060314 305681 461489 575893 666331 741115 804865 19 8.463725 9.0657769.308794 9.463665 9.5775669.667689 9.7422599.805852 20 484915 071171 311885 465830 579232 669043 743399 806837 21 505118 076500 314954 467985 580892 670393 744536 807819 22 524423 081764 318001 470129 582546 671739 745670 808799 23 542906 086965 321027 472263 584193 673080 746801 809777 24

8.550635 9.0921049.3240329.4743869.5858349.6744189.7479309.810753 25 577668 097183 327016 476498 587469 675751 749055 811726 26 594059 102204 329980 478601 589098 677080 750178 812698 27 609853 107167 332924 480693 590721 678405 751297 813667 28 625093 112074 335848 482775 592338 679726 752414 814634 29 8.6398169.116926 9.338753 9.484848 9.593948 9.681043 9.7535289.815598

30

682356 754639 816561 31

654056 121725 341638 486910 595553
667844 126471 344504 488963 597152 683665 755747 817522 32
681209 131166 347352 491006 598745 684971 756852 818480 33
694173 135810 350180 493040 600332 686272 757955 819436 34
35
355783 497078 603489 688862 760151 821342 36
358558 499084 605058 690152 761245 822292 37
742477 153908 361315 501080 606623 691438 762337 823240 38
753758 158316 364054 503067 608181 692720 763425 824186 39

8.706762 9.1404069.352991 9.4950649.601913 9.687569 9.759054 9.820390

765594 826072 41 766675 827011 42

15

801891

16

43

44

45

46

8.7647549.1626819.366777 9.505045 9.6097349.6939989.7645119.825130 40
775477 167002 369482 507014 611281 695272
785943 171280 372171 508974 612823 696543
796162 175517 374843 510925 614360
806146 179713 377499 512867 615891 699073 768827 828884 44
8.815905 9.183868 9.380138 9.514801 9.617417 9.700333 9.769900 9.829818
825451 187985 382762 516726 618937 701589 770970 830749 46

697810 767752 8279491 43

45

[blocks in formation]

8.861662 9.204070|9.393101 9.5243439.6249659.706577 9.775223 9.834456| 50
870262 208000 395647 526226 626459 707815 776279 835377 51
$78695 211895 398179 528102 627948 709049 777333 836297 52
886968 215755 400696 529969 629432 710280 778385 837215 53
895085 219581 403199 531828 630911 711507 779434 838130 54
8.9030549.223374 9.4056879.5336799.632385 9.712731 9.7804809.839044
910879 227133 408161 535523 633854 713952 781524 839956 56
918566
926119

55

635317 715169 782566
636776 716383 783605

840866 57 841774 58

[blocks in formation]

MOI234

56789

MOL23 →

66789

4

5

0 9.843585 9.894643 9.940296 9.981573 0.019235 0.053859 0.085894 0.115698 844487 895445 941017 982228 019835 054413 086409 116177 845387 896246 941738 982883 020435 054966 086922 116656 846286 897044 942456 983536 021034 055519 087435 117135 847183 897842 943174 984189 021632 056071 087947 117613 9.8480789.898638 9.943891 9.9848400.022229 0.056622 0.088459 0.118090 848971 899432 944606 985491 022825 057172 088970 118567 849862 900225 945320 986140 023421 057722 089480 119043 850751 901017 946034 986789 024016 058271 089990 119519 851639 901807 946745 987437 024610 058819 090500 119994 10 9.852524 9.902596 9.947456 9.988083 0.025203 0.059367 0.091008 0.120469 11 853408 903383 948166 988729 025795 059914 091516 120943 11 85.1291 904169 948874 989374 026386 060460 092024 121417 12 855171 904953 949581 990017 026977 061006 092530 121890 13 856049 905736 950287 990660 027567 061551 093037 122362 14

612

10

9.8569269.9065179.9509929.991302 0.028156 0.062095 0.093542 0.122835 15 951696 991943 028744 062639 094047 123306 16 952398 992583 029332 063181 094552 123777 17 859546 908853 953100 993222 029918 063724 095056 124248 18 860415 909629 953800 993860 030504 064265 095559 124718 19

14

15

16

857801 907297

17

858674 908076

18

19

20

21

22

23

24

25

9.861283 9.9104049.9544999.994497 0.031089 0.064806 0.096062 0.125187 20 862149 911177 955197 995133 031673 065346 096564 125656 21 863014 911949 955894 995768 032257 065885 097065 126125 22 863877 912719 956590 996402 032839 066424 097566 126593 23 864738 913488 957284 997036 033421 066962 098066 127060 24

25

9.865597 9.914256 9.957978 9.997668 0.034002 0.067499 0.098566 0.127527 866455 915022 958670 998299 034582 068036 099065 127993 26 867310 915787 959361 998930 035162 068572 099564 128459 27 868165 916550 960052 999560 035741 069107 100062 128925 28 869017 917312 960741 0.000188 036319 069642 100559 129390 29 30

9.869868 9.918073 9.961429 0.0008160.036896 0.070176 0.101056 0.129854 870717 918833 962116 001443 037472 070709 101552 130318 31 871565 919591 962801 002069 038048 071243 102048 130781 32 872410 920348 963486 002694 038623 071774 102543 131244 33 873255 921103 964170 003318 039197 072305 103037 131706 34 9.874097 9.921858 9.964852 0.003941 0.039770 0.072836 0.103531 0.132168 35 874938 922610 965534 004563 040342 073366 104025 132630 36 875777 923362 966214 005185 040914 073896 104517 133091 37 876615 924112 966893 005805 041485 074424 105010 133551 38 877451 924861 967571 006425 042055 074952 105501 134011 39

[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small]

9.878285 9.925609 9.968249 0.007044 0.042625 0.075480 0.105992 0.134470
879118 926355 968925 007661 043194 076007 106483 134929 41
879949 927100 969600 008278 043762 076533 106973
880779 927844 970274 008894 044329 077058 107462
881607 928587 970947 009510 044895 077583 107951 136303 44
9.882433 9.9293289.971619 0.010124 0.045461 0.078107 0.1084390.136760
883258 930068 972289 010737 046026 078631 108927
884081 930806 972959 011350 046590 079154 109414
.884903 931544 973628 011962 047154 079676 109901
885723 932280 974296 012572 047717 080198 110387
9.8865429.9330159.974962 0.013182 0.0482790.080719 0.110873 0.139037
887359 933719 975628 013791 048840 081239 111358 139491
888174 934481 976293 014400 049400 081759 111842 139944 52
888988 935212 976956 015007 049960 082278 112326 140397 53
889801 935942 977619 015613 050519 082797 112809 140850 54

[blocks in formation]

55

891421

58

9.8906129.936671 9.978280 0.0162190.051078 0.083314 0.1132920.141302 55
937398 978941 016824 051635 083832 113774 141754 56
892229 938125 979600 017428
893035 938850 980259 018030

[blocks in formation]

LOGARITHMS of the SUM and DIFFERENCE.

M.

16°

101234

[ocr errors]

5

SUM OR DIFFERENCE.

180

190

200

21°

220

240386 261314 281248

230

[merged small][merged small][merged small][merged small][subsumed][ocr errors][merged small][merged small]

303364 12 303672 13

170 0.143355 0.169702 0.194332 0.2176090.239670 0.260633 0.2805990.299655 144004 170124 194731 217986 240028 260974 280924 299966 144453 170547 195129 218363 300276 144901 170968 195527 218740 240744 261654 281573 300586 145349 171389 195925 219116 241101 261994 281897 300895 0.145797 0.171810 0.196322 0.2194920.241458 0.262334 0.2822200.301205 146243 172230 196719 219868 241814 262673 282544 301514 146690 172650 197115 220243 242170 263012 282867 301823 147136 173070 197511 220618 242526 263351 283190 302132 147581 173489 197907 220993 242882 263689 283513 302440 0.148026 0.173908 0.198302 0.221367 0.243237 0.264027 0.2838360.302748| 148471 174326 198697 221741 243592 264365 284158 303057 11 148915 174744 199091 222115 243947 264703 284480 149358 175161 199486 222488 244302 265040 284802 149802 175578 199879 222861 244656 265377 285124 303979 14 0.150244 0.175995 0.200273 0.2232340.245010 0.265714 0.2854450.304286|| 150686 176411 200666 223606 245363 266051 285766 304593 16 151128 176827 201059 223978 245716 266387 286087 304900 17 151569 177242 201451 224349 246069 266723 286408 305207 18 152010 177657 201843 224721 246422 267059 286728 305513 19 20 0.152451 0.178072 0.202234 0.2250920.246775 0.267395 0.287048 0.305819 152891 178486 202626 225462 247127 267730 287368 306125 153330 178900 203017 225833 247478 268065 287687 306430 22 153769 179313 203407 226203 247830 268399 288007 306736 23 154208 179726 203797 226573 248181 268734 288326 307041 25 0.154646 0.180139 0.204187 0.226942 0.248532 0.269068 0.288645 0.307346 155083 180551 204577 227311 248883 269402 288964 307650 26 155521 180963 204966 227680 249233 269735 289282 307955 27 155957 181374 205354 228048 249583 270069 289600 308259 28 156394 181785 205743 228416 249933 270402 289918 308563 29 30

[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][subsumed][subsumed][merged small][ocr errors][subsumed][subsumed][subsumed]

15

20

21

24

25

30 0.156830 0.182196 0.2061310.2287840.250282 0.270735 0.290236 0.308867 157265 182606 206519 229151 250631 271067 290553 309170 31 183016 206906 229518 250980 271400 290870 309474 32 183425 207293 229885 251329 271732 291187 309777 33 158569 183834 207679 230252 251677 272064 291504 310080 34 0.159002 0.184243 0.208066 0.2306180.252025 0.272395 0.291820 0.310382 159435 184651 208452 230984 252373 272726 292137 310685 36 159868 185059 208837 231349 252720 273057 292453 310987 37 160300 185466 209222 231714 253067 273388 292768 311289 38 160732 185873 209607 232079 253414 273718 293084 311591 39

[blocks in formation]

0.161164 0.186280 0.209992 0.232444 0.253761 0.274049 0.293399 0.311893 161595 186686 210376 232808 254107 274379 293714 312194 41 162025 187092 210760 233172 254453 274708 294029 312495 42 162456 187498 211143 233536 254799 275038 294344 312796 43 162885 187903 211526 233899 255144 275367 294658 313097 44

40

[blocks in formation]

0.163314 0.188308 0.211909 0.234262 0.255489 0.275696 0.294972 0.313397 163743 188712 212291 234625 255834 276024 295286 313698 46 164172 189116 212673 234987 256179 276353 295600 313998 47 164600 189519 213055 235349 256523 276681 295913 314297 48 165027 189923 213437 235711 256867 277009 296226 314597 49 50

50 0.165454 0.190325 0.213818 0.236073 0.2572110.277337 0.296539 0.314896 165881 190728 214198 236434 257554 277664 296852 315196 51 160307 166733

236795 257898
237155 258241

191130 214579 277991 297164 315495 52 191531 214959 278318 297476 315793 53 167159 191933 215338 237515 258583 278644 297788 316092 54

[blocks in formation]

216475 238594 259609

216854 238953 259951

0.167584 0.192334 0.215718 0.237875 0.258925 0.278971 0.298100 0.316390 55 168008 192734 216097 238235 259268 279297 298412 316689 56 279623 298723 316986 57 279948 299034 317284 58

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