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TO FIND THE LATITUDE BY DOUBLE ALTITUDES OF THE SUN OR STARS, AND THE ELAPSED TIME.

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111. HOURS.

10" 20" 30" 40" 50" 0.1505115020 14988 14957 14926 14894 14836 14832 14800. 14769 14738 14707 14676 14645 14614 14593 14552 14521 14490 14460 14429 1439814568 14337) 14307 14276 14246 14215 14185 14155) 14124 14094 14064 14034 14004 13974 13944 13914 13884 13854 13824 13794 13765 13735 13705 13676 16646 13617 13587 13558 13528 13499 13470 13441 13411 15382 13353 13324 13295 13266 0.13237 13208 13179 13150 13121 13093 13064 13035 13007 12978 12950 12921 12893 12864 12835 12807 12779 12751 127231269512666 12638 12610 12582 14554 12526 12499 12471 12443 12415 12387 12360 12332 12305 1227712249 12222 12195 12167 12140 1211312085 1205812031 12004 11977 11949 11922] 11895 11868 11842 11815 11788 11761 11734 11708 11681 11654 11628 11601 0.11575 11548 11522,11495 11469 11443 11416 11390 11364 11338 11312 11285 11259 11233 1120711181 11155 11130 11104 11078 11052 11027 11001 10975 10950 10924 10899 10873 10848 10822 10797 10772 10746 10721 10696 10671 10646 10620 10595 10570 10545 10520 10495 10471 10446 10421 10396 10371 10347 10322 10297 10272 10248 10224 10199 10175 10151101261010210078 0.10055 1002910005 09981 09957 09933 09909 09885 09861 09837 09813 09789 09765 09741109718 09694 09670 09647 09623 09599 09576 09552 09529 09506 09482 09459 09435 09412 09389 09366 09344 09319 09296 09273 09250 09227| 09204 09181 09158 09136 09113 09090 09067 09044 09022 08999 08976 08954 08931 08909 08886 08864 08842 08819 08797 08774108752 08730 08708 08686 0.08664 08641 08619 08597 08575 08553 08531 08510 08488 08466 08444 08422 08401 08379 08357 08336 08314 08293 08271 08250 08228 08207 08185 08164 08143 08121 08100 08079 08058 08036 08015 07994 07973 07952 07931 07910 07889 07868 07848 07827 07806 07785 07765 07744 07723 07703 07682 07661 07641 07620 07600 07579 07559 07539 07518 07498 07478 07458 07457 07417 0.07397 07377 07357 07337 0731707297

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0.21555 21514 21473|21432 21391 21350| 21309 21269 21228/21187 21147 21106] 21066 21025 20985 20945 20905 20864 20824 20784/20744|20704|20665|20625 20585/20545 20506 20466 20427 20387 20348 20309|20269|20230 20191 20152 20113 20074 20035 19996 19957 19919 19880 19841 19803 19764 19726 19687 19649 1961119572 19534 19496 19458 19420 19382 19344 19306 19269 19231 0.19193 19156 19118 19081 1904319006 18968 18931|18894|18857|18820 18783 18746 18709 18672 18635 18598 18561 18525 18488 18451 18415 18378 18342] 18306 18269 18233 18197 18161 18124 18089 1805318017 17981 17945 17909 17874 17838 17802 17767 17731 17696 17660 17625 17590|17554 17519 17484 17449 1741417379|17344|17509|17274| 17239 17205 17170 17135 17101 17066 0.17032 16997 1696316928 1689416860) 16826 16792 16758 16724 1669016656) 16622 16588 16554 1652016487 16453 16419 16386 16352 16319 16285 16252 16219 16186 16152 161191608616053] 16020 15937 15954 15920 15888 15856) 15823 15790 15758 15725 15692|15660 15628 15595 15563 155301549815466) 15434 15402 15370 15338 1530615274 15242 15210 15178 15146 15115/15083

[blocks in formation]

TO FIND THE LATITUDE BY DOUBLE ALTITUDES OF THE SUN OR STARS, AND THE ELAPSED TIME.

HALF ELAPSED TIME.

Argument.

IV. HOURS.

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O" 10" 20" 30" 0.06247 06229 0621106192 0617406156 06138 06120 06102 06084 06066 06048 06030 0601205995 0597705959 05941 05924 03906 05888 05871 05853 05836 05818 05801 05783 05766 05748 05731) 05714 05696 05679 05662 05645 05627) 05610 05593 055760555905542 05525) 05508 05491 05474(0545705440 05423 05406 05389|05373 05356 05340 05323 05306 05290|05273|05257 05240 05224 0.05207 0519105174 05158 05142 05125 05109 05093 05076 05060 05044 05028 05012 04996 04980 04964 04948 04932 04916/04900 04884 04868 04852 04837 04821 04805 04789 04774 04758 04743 04727 04711 04696 04680|04665 04649] 04634 04619 0460304588 04573 04557 04542 04527 04512 04496 04481 04466 04451 04436 04421 04406 04391 04376 04361 04346 04332 04317 04302 04287 0.04272 04258 04243 04228/04214 04199 04185 04170 04155 04141 0412704112 04098/04083/04069 04055/04040|04026 04012 03998 03983 0396 03955 03941 03927 03913 03899 03885 03871 03857 03843 0382 03815 03802 03788 03774 03760 03746 03733 03719 03706 03692 03678 03665 03651 03638 03624 03611 035970358403571 03557 03544 03531 0351703504 03491 03478 03465 03452 0.03438 03425 03412 03399 03386 03373 03360 03348 03335 03322 03309 03296| 03283 03271/03258 03245 03233 03220 03207 03195 03182 03170 03157 03145 03132 03120 03107 03095 03083 03070 03058 0304603034|03021 03009 02997 02985 02973 02961 02949 02937 02925 02913 0290102889 02877 02865 028.53 02841 02829 02818 02806 02794 02783 02771 02759 02748 02736 02724 02713 0.02701 02690 02678 02667|02656|02644] 02635 0262202610 02599 02588 02577 02565 02554 02543 02532|02521|02310 02499 02488 02477 02466 02455 02444! 02433 02422 02411 02400|02390 02379

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V. HOURS.

07 TO" 20" 30" 40" 50% 0.01506 01497 01489 01480 01472 01464 01455 01447 01439 01430/01422|01414| 01406 01398 01390 01381 01373 01365|| 01357 01349 01341 01333 01325 01317 01310 01302 01294 01286 01278 01270 01263 01255 01247 01240 01232}01224 01217 01209 01202 01194|01187|01179 01172 01164 01157|0115001142 01133 01128 0112001113 01106 01099 01091 01084 01077 01070 01063|0105601049| 0.01042 01035 01028/01021 0101401007 01000 00993 00987 00980 00973 00966 00960 00953|00946|0094000933 00926 00920100913 00907009000089460887 00881 0087400868 00862 00855 00839 00843 0083600830 00824 00818 00811 00805 00799 0079300787 00781 00775| 00769 00763 00757 00751|00745|00739 00733 00728 00721 00716|00710|00704 00699 00693|00687|00682|00676|00760| 0.00665 00659 00654 00648|00643|00637|| 00632 00626|00621|00616|00610|00605) 00603 00594 00589 0058400579|00574| 00568 00563 00558 00553 00548 00543 00538 00533100528 00523)00518|00513 00508 00504|00499|00494 00489 00484 00480 00475 00470 00466 0046100540 00452 00447 00443 00438 00434|00429 00425 00420|00416/00412|00407|00403| 00394 00394 00392 00386 00382 00377 0.00373 00369|00365|00361|00357|00353|| 00349 00345|00341|00337|00333|00329 00325 00321 00317|0031300317|00306|| 00302 00298 00295 0029100283 00284 00280 00276|00273/00269|00266|00262|| 00259 00255|00252|00249|00245 00242 00239 00235|00232|0022900225 00222 00219 00216|00213 00210/00207|00203| 00200 00197 00194 00191 00188 00185 00183 00180 00177 00174 0017100169 0.00166 00163 00160 00157 00155 00152 00149 00147/00144 0014200159|00137 00134 00132 00129|001270012400122|| 001200011700115 001130011000108 00106 00104 00102 000990009700095 00093 00091 00089|00087|00085 00083 00081 00079|00077|00075|00074|00072 00070 00068 00066 00065|00063|00061) 00060 00058|00056|00055 00053 00052 00050 00049|00047|00046|00044|00043 0.00041 00040 00039 00037|00036|00035| 00033 00032 00031 00030 00029|00028 00026 00025 00024 00023|0002200021| 00020 00019 00018 00017 00017|00016| 00015 00014 00013 00013 0001200011| 00010 0001000009 00008 0000800007 00007 00006 00006 00005 000050000+ 00004 00003 00003 00003 0000200002|| 00002 00001 00001 00001 00001 00001 00000 00000 00000000000000000000|

[blocks in formation]

TO FIND THE LATITUDE BY DOUBLE ALTITUDES OF THE SUN, OR STARS,

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10′′ 20" 39" 40" | 50′ 0.20000 16270 46373 63982 76476 56167 2.94083 00779 06578 11694 16269 20405| 3.24187 27663 30882 33878 36681 39313) 41796.44144-46371 48490 50510 52440 34289 56061 57764 59403;60982|62506 63978 65402 66781 6811769413 70672 71895 73085 74242 75370 76469 77542 78588 79609 S0607 8158382537 83471 8+385 8528086157 87017 87860 88686 89498 90294910769184592600 93341 3.9407194788 95494 96188 96872 97545 98207 98860 99503 0013600761 01376) 4.01983 02581 03172 0375404329 04896| 05456 06008 0655407093 07626 08251 08671 09184 09691 10193 10688 11178 11663 121421261613085 13549 14007! 14461 1491115355 1579616231|16663| 17090 17513 17932 18346 18757 19164) 19567 19967 20363 20755 2114121528) 21910 22289 22664 23036 2340523770 4.24333 24493 24849 25202 25553 25901 26246/26588 26928 27265 27599 27931 28260 28587 28911 29233 29555 29870) 30185 30497 30807 3111531421 31725 32026 32326 32625 52919 33212 33503 33793 34080 34365 34649 34931 55211 35489 35765 36040 3631336584 36853 37121 37387 37651 37914 38175 38434] 30692 38949 39204/39457|3970969960

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1. HOUR.

20" 30" 40" 50" 4.71403/71521|71638717557187271988|

72104 72220 72335|72450|72565|72679 72793 729077302073133 73246|73358 73470 73582 73694738057391674027

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TO FIND THE LATITUDE BY DOUBLE ALTITUDES OF THE SUN, OR STARS, AND THE ELAPSED TIME.

[blocks in formation]

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!!!, HOURS.

0" 10" 20" 30" 40" 30 5.15052 15083 15115 15146 15177 1520al 15240 15271|15303|15334 15365 15396| 15427 1545815489 15520 15551 15552 15613 15643 15674|15705|15735 15766 15796 158271585715888 15918 15948 15979 1600916039 1606916099 16129| 16159 16189 16219 1624916279 16309|| 16338 163181639816427 16457 16466 16516 16545 1657516604|16633 16762|| 16692 16721 16750 16779 16808 16837 5.16866 16895 16924 16955 16982 17010 17039 170681709617125|1715317182 17210 17239 17267|17296|17324|17352|| 17380 1740817437|17465|17495 17321| 17349 17577 1760417632 17660 17685 1771617743 17771 17798 17826 17854 17881 17908 17936 17965 17990 18018 18045 18072 1809 18126 18154 18151 18208 1823518261 1828-1831518341 18369 18395 18422 18449 18475 18502 5.18528 18555 18581 18608 18634 18660 1868718713 18739 18765 18731 18818 18844 18870 18896 1892218948 18976 18999 19025 1905119076 1910219128 19153 19179 19204 19230 19255 19281 19306 19331 19357 19382 19407 19432 19457 19483 1950819533 19558 19583 19608 196321965719682 19707 19732 19756 19781 19806 198311965519879 19904 19928 19952 19977 20001 20025 5.20050 20074 20098 2012220146 20170 20194 20188 20242 20266 20290 20314 20338 20362 20385 20409 20433 20456 20480 20404 20527 20551 20574 20597 20621 20644 20668 20691 20714 20737 20760 20783 20807 20830 20853/20876 20899 20922 20945|20967 2099021015 21036 21059 21081 21104 2112721149 21172 21194 21217 21239 21261 21284 21306 21329 21351 213732139521417| 5.21439 21462 21484 21506 2152821550 21572 21593 21615 21637 21659 21681 21702 21724 21746 21767 21789 21810 21832 21853 21875 21896 21918 21939 21960 21982/22005|22024/22045|22067|| 22088 22109 22130 2215122172 22193 22214 22235|22255 22276 2229722318 22338 22359 22380 2240022421 22442 22462 22483 2250322524 22544 92564| 22585 22605|2262522645 22666,22656| 5.22706 22725 2274622766 22786 22806 22826 22846 22866 22986 22906/22925 22945 22965 22984 2300420524 23043 23063 230822310223121 23141 23160 23180 23199 2321823238 23257/23276|| 23295 23314 23333 23352233722359| 23410 23429 23447 23466 234852356 23523 23542 23560 23579|23598 93616|| 23635 23654 23672 23691 23709 23796 5.23746 23765 23783 23801 2382023838|| 0" 10" 20" 30" | 40" 50"

TO FIND THE LATITUDE BY DOUBLE ALTITUDE OF THE SUN, OR STARS,

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[blocks in formation]

10" 20" 30' 40" 50′′ 5.23856 23874|23892|23911|23929|23947 23965 23983 24001|2401994037|24055| 24073 24091|241082412624144|24162| 24179 24197|24213|2423224 250 24267 24285 24302|24320|24337|24355|24372| 24389 24407|24424|24441|24558|24476| 24493 24510 24527 2454424561 24578 24595124612 24629 2464624663 24680 24697 24714|24730|24747 24763 24780 24797 2481324830|2484624863|24879| 5.24896 24012|24929|24945 24961 24978 24994 25010|25027|2504325059 25075) 25091 25107|25123|25139 25155 25171 25187 35203|25219|25235 25251|25266 25282 25298 25314 2532 25345 25560 25376 25392 25407 25423 25438 25454 25469 25484 25500 2551525530 25546 25561 25576 25591 25607 25522 25637 25652 25667 2568225697 25512 25727 25742 25757 25771 25786 25801 25816 3.25831 25845/25860|25875 25889 25904 2591825933 25948|2596225976 25991) 26005 26020 26034|26048|26063|26077| 26091 26105|26120|26134|26148|26162 26176 26190 26204|26218|26232|26246|| 26260 26274 |2628×26501|26315 26329 26545 26357 26370 26384 26397|26411| 26425 26438|2645226465|26479|36492| 26506 26519 26532 26546|26559|26572 26586 26599|2661226625 26638 26651 5.26665 26678|26691|26704|26717|26730|| 26743 26755 2676826781|26794 26807 26820 26832 26845 26858:26870 26883 26896 26908 26921 26933|26946|26958 26971 26983 26996|27008|27022|27035 27045 2705727069 2708227094 27106 27118 27130 27142 271542716627178 27190 27202 27214 27226/2723827250 27262 27274 272852729727309|27320 2733227344 27355 27367 27379|27390 5.27402 27413 27425 27436 27447 27459 27470 27481 27493|27504|27515 27526 27538 2754927561 27571 27582 27593 27604 27615|27626|27637 27648 27659 27670 27681 27692|277032771327724 27735 27746 27756|27767 27777 27788 27799 27809 27820 27830 27841 27851 27862 27872 27882 27890 27903 27913) 27924 27934 27944|27954 27964 27975 27985 27995 28005 28015 28025 28035

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V. HOURS

(" 5.28597 28606) 28614|28623 28631 28639 28648/28656 28664|28673 28681 28689 28697 28705 28713|28722 28730 28738 28746 2875428762|28770 28778 2878€ 28893 2880128809 28817 28325 28833) 28840 28848 28856 28863 28871 28879 28886 28894 28901 28909 28916 28924 28931 28939 28946 28953 28961 28968 28975 28983 28990 28997 29004 29012 29019 29026 29033 29040/29047|29054 5.29061 2906829075|29082 2908929096 29103 29110 29116 2912329130 29137 29143 29150 29157 29163 29170 29177 29183 29590 29196 29203 29209 29216 29222 29729 29235 29241 2924829254 29260 29267 29273 29279 29285 29292 29298 29304 29310|29316 29322 29328 29334 29540 29346 29352 29358 29364 29370 29375 29381 29387 29393 29399 29404 2941029416|29421|29427|29433 5.29438 29444|29449|29455|29460 29466 29471 29477 29482/29487 29493 294981 29503 2950929514 29519|29524 29529 29535 29540 29545 29550 29555 29560 29565 29570 29575 29580 29585 29590 29595 29599 29604 29609/29614 29619 29623 29628 29633 29637 29642 29647 29651 29656 29660 29665 29669|29674 29678 2968329687 29691 29696 29700 29704 29709 29713 29319 29721 29726 5.29730 29734 29738 29742 29746 29750

10" 20" 30" 40" 506

99754 29758 29762 29766 29770 29774 29778 29782 29786 29790 29793 29797 29801 29805 29808 29812 29816 29819 29823 29827 29850 29854 29837 29841) 29644 29848 29851 29834 29848 29861 29864 29868 29871 29874 29878 29881 29844 29887 29890 29863 29896 29900 29903 29906 29909 29912 29915 29918 29920 2992529926 29929 29932 29935 5.29937 29940 29943 29946 29948 29951 29954 29956 29959 29961 29964 29966 29969 29971 29974 29976 29979 29981 29983 29986 29988 29990 29993|29995| 20997 29999 30001 20004 20006 30008 30010 3001230014 30016 30058 30020| 30022 30024 30026 30026 30029|30031 30033 30035 30037 30038 30040 30042 30043 30045 30047 30048 3005030051 30053 30054 30056 30057 30059 30060 5.30062 30063 30064 30066 50067 50068 30070 30071 30072 30073 30074 30075 30077 30078 30079 30080 30081 30082 30083 30084 30085 30086 30086 30087 30088 3008 30090 30090 30091 30092 30093 30093 30094 30095 30095 30096 30096 3009730197 30098 30098 30099 30099 30100 30100 30100 30101 30101 30101 30102 30102 30102 30102 30102 5.30103 30103 30103 30113 30103, 30013 0" | 10′′ | 20′′ | 30" | 40′′ | 50′′

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