CALCuXATION FOR FINDING THE LATITUDE FROM 

 REPEATING REFLECTING CIRCLE. 



Teoitohtoh's Circle. 

 11 49 86.9 Noon by Chronometer. Instrument at 280" 40' 00" 



11 38 23.3 



38 55.3 



39 25.5 

 99 «0 



40 14.0 



40 37.3 



41 8.3 

 41 26.7 

 41 52.7 

 41 17.3 



11 49 36.9 



11 44 13.3 



44 38.3 



45 13.3 



45 35.0 



46 5.0 



46 20.3 



47 4.0 



47 30.0 



48 1.5 

 48 26.0 



1 33.3 

 1 53.3 



1 19.4 



2 46.3 

 1 16.2 

 ! 36.5 



189.77 

 172.42 

 158.78 

 141.07 

 131.05 

 117.51 

 105.39 



57.11 



11 13.6 

 10 41.6 

 10 11.4 

 9 49.9 

 9 22.8 

 8 59.6 

 8 28.6 

 8 10.2 

 7 44.2 

 7 19.6 



5 236 

 4 58.6 

 4 23.6 

 4 01.9 

 3 31.6 

 3 16.6 

 2 32.9 

 2 06.9 

 1 35.4 

 1 10.9 



1 02.1 



1 27.4 



1 56.4 



2 16.4 

 2 42.5 



3 59.6 



4 25.8 



5 26.1 



30 05.0 211.* 



OBSERVATIONS MADE NEAR NOON WITH THE (Vol. IX. to front p. 108.J 



8th November 1817, very clear. Quicksilver Horizon. 



Mean Daily variation sun's declin. = 22' 36" Log. 3.132260 



92 1 Log. = 3.742018 



Log. At. Co. 24 hours, - 5.063486 



1st reading 22" 42 1 15' 



1942.15 4th or 1st compound s 

 211.86 



Dill 



48.62 2154.01 = 5, or 2d compound scnes. 



37.89 

 31.91 

 24.42 

 21.08 

 12.74 

 8.79 

 4.96 

 2.74 



S.11 

 4.16 

 7.39 

 10.15 

 11.40 

 19.56 

 86.23 



2d reading 485' 14* 25* 



31.3! 



38.54 



M 3d reading 227" 43' 12" 



Surfs declin. at Noon, 16=34' 16" 



Refraction — Parallax, — 2 2.9 



Correction of declination, — 8.6b 



Reduction to Meridian, + 1 52.54 



Sun's declin. corrected, 

 Observed Angles, 



16 



i 56.9 



286" 40' 0" 

 + 720 ' 22 42 15 



,'5)462 ' 



Altitudes, 



Zenith distances, _ - 



Corrected declination's, 



Latitudes, 



23 6 6.7 

 66 53 53.3 

 16 33 56.98 



16* 34' 16» 



— 2 2.8 



— 3.11 

 + 16.65 



22° 42' 15" 

 485 14 25 



,'„)462 23 10 



16 52 23.5 

 16 32 26.74 



Loe Cos. Sun's declin. 16-34' 16" = 9.9815769 

 Lag Cos! Lai. 50 19 57 9.3050461 



9.7 .... 

 0.3638832 



Constant factor, 



Ar. Co. Sines of Z \ _ gg 5353.3 = 0.0363027 



distance* ' ^ 1691 , 89 = 3 ,^ TO 



3.0512978 

 ('o) 1125.4 



1' 68" 54 



2.221119-6 

 ,",) 166.5 



1.937764 = 



Corr. 1st series j*, 



Var. declin. 22' 36" = 3.132260 

 33 02 = 3.297104 

 24 hours = 6.063486 



(86".65 

 = 8.66 



1.4928.50 = (31' 11" 

 Corr. 2d series A = 3.11 



Therm. 13.4 = 9.9944 



Barom. 743.0 = 9.9900 



Z dist. 66 - = 2.1145 



53.9 = 184 



Var. declin. 22' 36' Log. = 3.132260 



30 5 Log. = 3.256477 



24 At. CO. Log. = 5.063486 



2.1173 : 



1.452223 = (2S»38 

 Corr. 3d series A = 2.83 



122.9 

 2'2".9 Refrac. — Parallax. 



Therm. 4- Barom. 9.9844 



Z. Dist. 66 — 2.1145 



52'.5 = 180 



2.1169 : 



Refraction — Paralla: 



86.65 ) 

 81.11 I 



10".9 Reft. 

 8.1 Para). 



A. M. 

 ,',)117.76 Sum. 



4th series 5.88, or 1st 

 pound series. 



117.76 Sura A.M. 

 28.33 P. M. 



mpound 



16- 34' 16" 

 — 2 2.8 



485" 14" 25" 

 + 720 227 45 12 



16" 84' 16" 

 — 2 2.6 



280° 40' 0* 

 + 720 485 14 25 



16*34' 16* 



— 9. 2.8 



— 2.98 

 + 47.76 



16 32 57.98 



280* 40' 0" 

 ■ 1440 227 45 12 



947 45 12 

 485 14 25 



'„ )462 30 47 



Log. 



23 7 32.35 

 66 52 27.65 

 16 32 80.13 



50 19 57.52 

 211.86 



9.7866230 

 0.0363793 

 2.3260490 



1205 14 25 

 280 49 



)924 34 25 



23 6 51.62 

 66 53 8.38 

 16 33 11.91 



, )1887 



50 19 56.47 

 1942.15 



I 9.7866230 



: 0.0363429 

 Log. 3.2882828 



23 7 5.2 

 66 52 54.8 

 16 32 57.98 



50 19 56.82 

 215401 



2.1490513 

 ,' t ) 141.0 



3.1112487 

 ,'„) 1291.9 



0.0363540 

 9.3332477 



3.1562247 

 A) 1432.9 



