M. 2 20 21 22 0" 10" 20" 30" | 40′′ | 50" M. 0" 10" 20/ 30" 40" 50" 4.6989769952 70006 700617011570170 5 6 7 14 15 16 17 90072 18 19 20 21 22 23 4.91263 91301 91339 91377 91414 91452 4.91490 9152891566 91603,91641 91679 4.9171691754 91792 91829 91857 91904| 4.91942 9197992017 92054 92092 93129 4.921669220392241| 92278 92315 92352 4.92390 9242792464|92501 92538 925-5 4.926129264992686 9272319276092796| 24 4.92833 9287092907 92944 92950 93017 26 4.9305493090 93127 93164 93200 93237 27 4.932739331093346|93382|93419 93455 284.93492 93528 93564 93600 9363793075 4.93709 9374593781 9381793854 93890 4.9392693962 93998 94034 94069 94105 4.94141 94177 94213 94249 94284 94320 29 0 4.869928703487075 8711687157 87198 I 4.70224 70279 70333|7038770442|70496| 14.872398728087321 8736287402 87443 4.7055070604 70658 707127076670820 2 4.8748457525 87506 87606 87647 87688 34.70874 70928 70982 71036 71089 71143 3 4.87728 87769 87809 87850,87890 87931 44.7119771250 71304 7135771411|71464|| 44.879718801288052 88093 88133 88173 5 4.7151871571 71624 71678 71731 71784 4.882138825488294 88334 8837488414 6 4.718377189071943 71996 72049 7210. 4.88454 88494 88534 88574 8861488654 74.7215572208 72260 72313 72360 72418 4.8869408734 88774|8881488853 88893 8 4.72471 72523 72576 72628 72681 72733 8 4.88933 88973 89012 89052 89091 89131 9 4.72785 72838 72890 72942 72994 73046| 9 4.891718921089250 89289 89328 89368 10 4.7309973151 73203 73254 7330073358 10 4.8940789447 89486 89525 89564 89604 11 4.7341073462 73514 735657361773668 11 4.8964389682 89721 89760 89799|89838 12 4.7372073772 73823 73874 7392673977 12 4.898778991689955 89994 90033 .13 4.74028 7408074131 741827423374284 134.901119015090188 90227 90266 90305 14 4.7433574386 74437 7448874539 74590 4.9034390382 90421 90459'90498 90536 15 4.74641 74092 74742 74793 7484474894 4.90575 90613 90652 90690 90728 90707 16 4.74945 74995 75046 75096 75147 75197 4.90805 90843 90882 90920 90958 90996 17 4.7524775298 75348 75398 75448 75498 4.910349107391111 9114991187 91225 18 4.75549 75599 75649 75099 75748 75798 19 4.75848 75898 75948 75997 76047 76097 4.76146 7619676245 76295 76344 76394 4.76443 7649276542 70591 70640 76689 4.767387678776836|76885 76934 76983 23 4.7703277081 77130 77179 77227 77276 24 4.77325 77373 77422 7747077519 77567 25 4.7761677064 77713 77761 7780977857 26 4.77906 77954 78002 78050 7809878146 27 4.78194 78242 78290 78338 7838578433 28 4.78481 78529 78576 78624 78671 78719 29 4.787677881478861|78909 78956 79004 30 4.79051 79098 79145 7919279240 79287 31 4.7933479381 79428 79475 79522 79568 32 4.7961579002 79709 79756 79802 79849 33 4.7989679942 79989 80035 80082 80128 34 4.80175 80221 80267 80314 80360 80406 35 4.80452 80498 So545 80591 8063780683 36 4.8072980775 80820 80866 80912 80958 37 4.8100481049 81095 81141 81186 81232 38 4.812778132381368 814148145981505 38 39 4.815508159581641 81686 8173181776 40 4.81821 8186681911 81956 82001 82046 41 4.82091 8213682181 82226 82271 82315 42 4.82360 82405 82449 82494 82538 82583 43 4.82628 82672 82716 82761 82805 82850 43 44 4.8289482938 82982 830268307183115 44 45 4.8315983203 83247 83291 83335 83379 45 46 4.83423 8346783510 835548359883642 46 47 4.83685 83729 83773 83816 83860 83903 48 4.8394783990 84034 84077 8412084164 49 4.8420784250 84293 8433784380 84423 50 4.8446684509 84552 84595 84638 84681 51 4.84724 84767 84810 84852 84895 84938 52 4.84981 85023 85066 85108 8515185194 53 4.8523685278 85321 85363 8540685448 54 4.85490 85533 85575 85617 85659 85701 55 4.8574485786 85828 85870 85912 85954 56 4.8599686038 86079 86121 86163 86205 57 4.86247 86288 86330 86372 86413 86455 58 4.86496 86538 86579 86621 86662 86704 36 37 42 30 31 32 4.94356 94392 94427 94463 94498 94534 33 4.94570 94605 94641 94676 94712 94747 34 4.9478294818 94853 94888 94924 94959 35 39 40 41 4.94994 95029 95065 95100 95135 95170 4.95205 95240 95275 95310 95345 95380 4.95415 95450 95485 95520 95555 95589 4.95624 95659 95694 95728 95763 95-95 4.95832 95867 95902 95936 95971 96005 4.96040 96074 96109 96143 96177 96212 4.9624696280 96315 96349 9638396417 4.9645196486 96520 96554 96588 96622 4.96656 96690 96724 96758 96792 96826| 4.96860 9689496927|96961 96995 97029| 4.97062 97096 97130 97163 97197 97231 4.97264 97298 97331 97365 97398 97432 4.9746597499 97532 97565 97599 97632 4.97665 97699 97732 97765 97798 97832 4.97865 97898 97931 97964 97997 98030 47 II 12 To find the Latitude by two Altitudes of the Sun. LOG. RISING OR VERSED SINE. 6 HOURS. 7 HOURS. M. O" 10" 20" 30 40" 50" 05.099961002110045 100691009310117 5.10141 10166 10190 1021410238 10262 5.10286 1031010334 1035810382 10406 5.10430 10454 10477 10501 10525 10549 5.10573 10597|10620 1064410668 10691 2 3 4 5 6 5.10715 10739 10763 10786 10810 10833 5.10857 10881 10904 1092810951 10975 7 8 9 10 11 12 13 14 18 M. Ꭴ 10" 20" 30′ 40′′ | 50" 5.000000003200063 00095 00126 00158 15.001890022100252 00283 00315 00346 25.003770040900440 00471 00502 00534 35.00565 0059000627 00658 0068900720 45.0075100782 00813 00844 00875 00906 55.0093700968 00999 01030 0106101091 6 5.0112201153 01184 01214 01245 01276 7 5.0130601337 01368 01398 0142901459 8 5.0149001520 01551 0158101612 01642 95.0167201703 01733 01763 01794 01824 10 5.0185401884 01915 01945 01975 02005 5.0203502065 02095 02125 02155 02185 5.0221502245 02275 0230502335 02365 13 5.02395 02425 02455 02484 0251402544 14 5.0257402603 02633 02663 02692 02722 15 5.0275102781 02811 02840 0287002899 15 16 5.0292802958 02987 030170304603075 16 17 5.0310503134 03163 03193 03222 03251 17 18 5.032800331003339 03368 03397 03426 195.03455 03484 03513 0354203571 03000 20 5.036290365803687 0371603745 03774 21 5.0380203831 03860 0388903918 03946 22 5.03975 04004 04032 04061 0409004118 23 5.0414704175 04204 04232 04261 04289 24 5.0431804346 04375 0440304431 04460 25 5.04488 04516 04545 04573 04601 04629 25 26 5.0465704686 04714 047420477004798 26 27 5.0482604854 04882 04910 04938 04900 27 28 5.049940502205050 05078 05106 05134 28 29 5.05162 05189 05217 05245 05273 05300 30 5.05328 05356 05383 05411 05439 05466 31 5.05494 05521 05549 05577 0560405632 32 5.0565905686 05714 05741 05769 05796 33 5.05823 0585105878 05905 05933 05900 34 5.059870601406041 06069 06096 06123 35 5.06150 0617706204 06231 06258 06285 36 5.06312 0633906366 06393 06420 06447 37 5.06474 06500 06527 06554 0658106608 38 5.0663406661 06688 06714 0674106768 39 5.0679406821 06848 0687406901 06927 40 5.0695406980 07007 07033 07060 07086 41 5.071120713907165 07192 07218 07244 42 5.07270 07297 07323 07349 07375 07401 43 5.07428 07454 07480 0750607532 07558 44 5.0758407610 07636 07662 07688 07714 45 5.07740 07766 07792 07818 07844 07869 46 5.07895 07921 07947 07973 07998 08024 47 5.08050 0807508101 08127 c8152 08178 48 5.08204 08229 08255 08280 08306 08331 49 5.0835708382 08408 08433 08458 08484 50 5.0850908534 08560 08585 0861008636 51 5.08661 08686 08711 08736 08762 08787 52 5.0881208837 08862 08887 08912 08937 53 5.08962 08987 09012 09037 09062 09087 54 5.0911209137 09162 09187 0921109236 55 5.09261 0928609311 09335 09360 09385 56 5.09409 09434 09459 09483 0950809533 57 5.0955709582 09606 09631 09655 09680 58 5.0970409729 09753 09777 09802 09826 59 5.0985109875 09899 09924 0994809972 5.10998 11022,11045 11069 11092 11115 5.11139 11162 11185 11209 1123211255 5.11279 11302 11325 11348 11372 11395 5.11418 1144111464 11487 1151011533| 5.11557 1158011603 11626 11649 11672 5.11695 1171711740 11763 1178611809 5.11832 11855 11878 1190011923 11946 5.11969 11991|12014| 1203712059 12082 5.12105 12127 12150 12173 12195 12218 5.12240 12263 12285 12308 12330 12353 5.12375 12397 12420 12442 1246512487 5.12509 12532 12554 12576 12598 12621 5.12643 12665 12687 19 12709 12732 12754 20 21 5.12908 12930 12952 12974 12996 13018 22 23 5.13040 13062 13084 1310613128 13149 5.13171 13193 13215 1323713258 13280 M. 0" 10" 20" 30" 40" 50" 05.1760917627 17646 17664 1768217700 I 5.17718 17736 17755 17773 17791 17809 5.178271784517863 17881 1789917917 2 0" 10" 20" 30" 40" 50" 5.23226 23239 23252 23265 2327823291 5.23304 2331723330 23343 2335623369 5.23382 23395 23408 23421 23434 23447 3 5.23459 23472 23485 23498 23511 23523 45.23536 23549 23562 2357423587 23600| 5 5.236122362523638 23650 23663 23676) 6 5.23688 23701 23714 237262373923751 7 5.2376423776 23789 23801 2381423826 8 5.23839 23851 23863 2387623888 23 23901 95.2391323925 23938 23950 2396223975| 5.2398723999 24011 240242403624048 5.24060 2407324085 24097 24109 24121 5.24133 24145 24158 19 20 3 5.17935 17953 17971 17989 18007 18024 4 5.18042 18060 18078 1809 18114 18132 55.1814918167 18185 18203 18220 18238 6 5.1825618273 18291 18309 1832618344 7 5.18362 18379 18397 18414 18432 18449 8 5.18467 18484 18502 18519 18537 18554 95.18572 18589 18606 18624 18641 18659 10 5.1867618693 18710 18728 1874518762 115.18780 18797 18814 18831 18848 18866 12 5.18883-18900 18917 18934 1895 18968 13 5.1898519002 19019 19036 19053 19070 14 5.1908719104 19121 19138 19155 19172 15 5.1918919206 19223 19240 19256 19273 16 5.1929019307 19324 19340 19357 19374 17 5.19390 19407 19424 19441 19457 19474 18 5.1949 19507 19524 19540 19557 19573 19 5.19590 19606 19623 19639 19656 19672 20 5.19689 19705 19722 19738 19754 19771 21 5.19787 19804 19820 19836 19852 19869 22 5.1988519901 19918 19934 19950 19966 23 5.19982 19999 20015 20031 20047 20063 24 5.20079 20095 20111 20127 20143 20159 25 5.20175 20191 20207 20223 20239 20255 26 5.20271 20287 20303 2031920335 20351 27 5.20366 20382 20398 20414 20430 20445 28 5.20461 20477 20493 20508 20524 20540 29 5.20555 20571 20587 20602 20618 20634 30 5.20649 20665 20680 20696 2071120727 31 5.20742 20758 20773 20789 20804 20820 32 5.20835 20850 20866 20881 20897 20912 33 5.20927 20943 20958 20973 20988 21004 34 5.2101921034 21049 21065 21080 21095 5.21110 2112521140 21155 21170 21186 36 5.21201 21216 21231 2124621261 21276 37 5.2129121306 21321 21336 21351 21366 38 5.2138021395 21410 21425 21440 21455 39 5.21470 21484 21499 215142152921543 40 5.21558 21573 21588 21602 2161721632 41 5.21646 21661 21676 21690 21705 21719 42 5.2173421748 21763 21777 2179221806 43 5.21821 21835 21850 21864 21879 21893 44 5.2190821922 21936 21951 21965 21979 45 5,21994 22008 22022 22037 22051 22065 45 46 5.22079 22094 22108 2212222136 22150 46 47 5.22164 2217922193 22207 22221 22235 47 48 5.22249 22263 22277 22291 22305 22319 48 49 5.22333 22347 22361 22375 22389 22403 50 5.2241722431 22445 22458 22472 22486 51 5.22500 22514 22528 22541 22555 22569 52 5.22583 22596 22610 22624 2263722651 53 5.22665 22678 22692 2270622719 22733 54 5.22746 22760 22773 22787 22801 22814 55 5.22828 22841 22854 22868 22881 22895 56 5.2290822922 22935 22948 22962 22975 57 5.22988 23002 23015 23028 2304223055 58 5.23068 23081 23095 23108 23121 23134 35 12 24170 24182 24194 13 14 5.24278 24290 24302 24314 24326 24338 15 16 17 5.24421 24432 24444 24456 24468 24479 5.24491 24503 24515 24526 24538 24550 185.24561 24573 24585 24596 24608 24619 5.24631 24643 24654 24666 24677 24689 5.24700 24712 24723 24735 24746 24757| 21 5.24769 24780 24792 24803 2481424826 225.24837 24849 24860 24871 24882 24894 5.24905 24916 24927 24939 24950 24901 5.24972 24983 24995 25006 2501725028 5.27092 27100 27109 27117 2712627134 5.27142 27151 27159 27167 27176 27184 2 5.27192 27201 27209 27217 27226 27234 3 5.27242 27250 27259 27267 27275 27283 4 5.27291 27299 27308 2731627324 27332 5 5.2734027348 27356 27364 27372 27380 6 5.27388 27396 27404 27412 27420 27428 7 5.27436 27444 27452 27460 27468 27476 8 5.27484 27492 27500 2750727515 27523 9 5.27531 27539 27546 27554 27562 27570 10 5.27577 27585 27593 27601 27608 27616 II 5.2762427631 27639 27647 27654 27662 12 5.27669 27677 27684 27692 27700 27707 13 5.27715 27722 27730 27737 27745 27752 14 5.27759 27767 27774 27782 27789 27796 15 5.2780427811 27819 27826 27833 27840 16 5.27848 27855 27862 27870 27877 27884 17 5.27891 27899 27906 27913 27920 27927 18 5.27934 27942 27949 27956 27963 27970 19 5.27977 27984 27991 27998 28005 28012 20 5.2801928026 28033 28040 28047 28054 21 5.28061 28068 28075 28082 28089 28096 22 5.28102 28109 28116 28123 28130 28137 23 5.28143 28150 28157 28164 28170 28177 24 5.28184 28191 28197 28204 28211 28217 25 5.28224 28231 28237 28244 28250 28257 26 5.28264 28270 28277 28283 28290 28296 26 27 5.28303 28309 28316 2832228329 28335 28 5.28342 28348 28354 28361 28367 28374 29 5.28380 28386 28393 28399 28405 28411 30 5.2841828424 28430 284372844328449 31 5.28455 28461 28468 28474 28480 28486 32 5.2849228498 28505 28511 28517 28523 33 5.28529 28535 28541 28547 28553 28559 34 5.28565 28571 28577 28583 28589 28595 35 5.28601 28607 28613 28619 28624 28630 36 5.28636 28642 28648 28654 28660 28665 37 5.28671 28677 28683 28688 28694 28700 38 5.28706 28711 28717 28723 28728 28734 39 5.28740 28745 28751 28757 28762 28768 40 5.28773 28779 28784 28790 28795 28801 41 5.28806 28812 28817 28823 28828 28834 42 5.28839 28845 28850 28855 28861 28866 43 5.28872 28877 28882 28888 28893 28898 44 5.28904 28909 28914 28919 28925 28930 45 5.28935 28940 28945 28951 28956 28961 46 5.28966 28971 28976 28981 28987 28992 47 5.28997 29002 29007 29012 2901729022 48 5.29027 29032 29037 29042 29047 29052 49 5.29057 29062 29067 29072 2907629081 50 5.29086 2909129096 29101 29106 29110 51 5.29115 29120 29125 291 29 2913429139 52 5.29144 29148 29153 29158 29162 29167 53 5.29172 29176 29181 29186 29190 29195 54 5.2919929204 29209 29213 29218 29222 55 5.29227 29231 29236 29240 29245 29249 56 5.29254 29258 29262 29267 29271 29276 57 5.29280 2928429289 29293 29297 29302 58 5.29306 2931029315 29319 29323 29327 59 5.2933229336 29340 29344 29348 29353 00582 99998 02327 99973 00611 99998 02356 04071 99917 05814 99831 07556 99714 | 40 1 99972 04100 99916 05844 99829 07585 99712 39 II 22 00640 99998 02385 99972 II 23 00669 99998 02414 99971 12 24 00698 99998 02443 99970 12 25 00727 99997 02472 99969 13 26 00756 99997 02501 99969 13 27 00785 99997 02530 99968 14 28 00814 99997 02560 99967 14 29 00844 99996 02589 99966 15 30 00873 99996 02618 99966 15 31 00902 99996 02647 99965 15 32 00931 99996 02676 99964 16 33 00960 99995 02705 99963 16 34 00989 99995 02734 99963 17 35 01018 99995 02763 99962 17 36 01047 99995 02792 99961 18 37 01076 99994 02821 99960 18 38 01105 99994 02850 99959 19 39 01134 99994 02879 99959 19 40 01164 99993 02908 99958 20 41 01193 99993 02938 99957 20 42 01222 99993 02967 99956 21 43 01251 99992 02996 99955 21 44 01280 99992 03025 99954 22 45 01309 99991 03054 99953 22 46 01338 99991 03083 99952 23 47 01367 99991 03112 99952 23 48 01396 99990 03141 99951 24 49 01425 99990 03170 99950 24 50 01454 99989 03199 99949 25 51 01483 99989 03228 99948 25 52 01513 99989 03257 99947 26 53 01542 99988 03286 99946 26 54 01571 99988 03316 99945 27 55 01600 99987 03345 99944 27 56 01629 99987 03374 99943 28 57 01658 99986 03403 99942 28 58 01687 99986 03432 99941 29 59 01716 99985 03461 99940 29 60 01745 99985 03490 99939 N. cos. N. sine. N. cos. N. sine. 05902 99826 07643 99708 37 05931 99824 | 07672 99705 36 05960 99822 07701| 99703|35 05989 99821 07730 99701 34 06018 99819 07759 99699|| 33 06047 99817|| 07788 99696 | 32 06076 99815 07817 99694 31 I 06105 99813 07846 99692 30 06134 99812 06163 99810 06192 99808 06221 99806 06250 99804 06279 99803 07875 | 99689|29 I 07904|99687 | 28 07933 99685 | 27 04217 99911 04246 99910 04275 99909 04304 99907 04333 99906 04362 99905 04391 99904 04420 99902 04449 99901 04478 99900 04507 99898 04536 99897 04565 99896 | 06308 | 99801 | 08049 99676 | 23 04594 99894 06337 99799 08078 99673 22 04623 99893 06366 99797 08107 99671 21 04653 99892 06395 99795 08136 99668 20 04682 9989006424 99793|| 08165|99666 | 19 04711 99889 06453 99792|| 08194|99664|18| 04740 99888 06482 99790 | 08223 99661| 17 04769 99886 06511 99788 08252 99659| 16 04798 99885 06540 99786 08281 99657 15 04827 99883 06569 99784 08310 99654 14 04856 99882 06598 99782 08339 99652 | 13 | 04885 99881 06627 99780 | 04914 99879 04943 99878 04972 99876 05001 99875 05030 99873 05059 99872 06802 99768 08542 99635 05088 99870 06831 99766 | 08571 99632 05117 99869 06860 99764 08600 99630 05146 99867 | 06889 99762 08629|99627 05175 99866 06918 99760 08658 99625 05205 99864 06947 99758 08687 99622 05234 99863 06976 99756 08716 99619 0 N. cos. N. sine. N. cos. N. sine. N. cos. N. sine. M 1 I I |