DETERMINATIO ORBITAE E TRIBVS OBSERVATIONIBVS COMPLETIS.

169

101 .

habent:

Omnibus hisce reductionibus rite applicatis, yera problematis data ita s»

Obseruationum tempora ad meridia-num Parisinum reducta.

Oct. 5,458644

17,421885

Iunonis longitudines a , a, a .

354° 44'31" 60

552°54' 22" 12

latitudines fi, fi', fi" .

— 4 ‘5 9 5i, 06

— 6 21 55,07

longitudines terrae /, V, l" .

12 28 27, 76

24 19 4g,o5

logarithmi distantiarum R , R', R"

9,9996826

979960979

Hinc calculi arlt. 106, 137

numeros sequentes producunt

/ V

77 77 7.

196° o' 8" 36

O - 0 f " r-7 r>

101 Db O OO

S, S', S" .

18 23 5g, 20

5 2 19 24, g5

logarithmi sinuum.

97^99 1 996

9,7281 io5

A'D, AD', AD" .

262 6 26, 44

2i5 12 29, 82

AD, AD', A 'Di'. ...

24 i 5 i i5, 22

254 27 0, 90

/ n

219 34, 00

7 l3 s 7 , 7 °

logarithmi sinuum.

8,6o85885

9,0996915

log sin i e .

6,7995269

log cos i £ .

97999!557

27,39307755i°34 / 3o' , oi— 7 17 5o,g554 16 9,05979969678

0 / f / (/

190 4i 4o 1743 11 4a, o59,8555631209 45 7, 47221 i5 5j, 874 55 46, i 98,g54 i44o

Porro secundum art. i58 habemus

log tang/?.8, 9 4i24 9 4 n log tang/?".9,1074080 n

log sin v a"— /'). 9 ,75525 9 i n log sin (a — l') .9,6955181 n

log cos (a"— l’) .9,9247904 log cos (a — V) .9,9095180

Hinc

log (tang/3 cos (a*— l') — tang fi cos (« — l ') ) =: log 2’sin/.8,6786515

log sin (a"— «) = log Teos i.8,7420191 n

Hinc t — i45°52 / 57"78, logT.8 8260683

t 4- y' = 537 5o 58, 11, log sin (t + y ) . . . 9 ,58 2544i n

Denique

log (tang fi sin (a — V) —tang/?sin(«— / r ))=logiS..8,2o555i 9 n

log T sin (/ + y) . .8,1086124 n

vnde log tang ($' — cr ). 9 ^ 79 ' l 7 l 9 ^

S '— ff = 5i°58' 11" 81, adeoque ff — o° 20' 10" 12.

Secundum art. i4o fit

22