Full text: [Geodäsie. Fortsetzung von Band 4] Bestimmung des Breitenunterschiedes zwischen den Sternwarten von Göttingen und Altona durch Beobachtungen am Ramsdenschen Zenithsector (9. Band)

110 
NACHLASS. 
Also für [<p ==]([> = P: 
ds (1 — eesinP 2 )cosP 
dd, = - (l + 3 ec - sin P 2 ) 
[^p = — (1 ~7i S -^)° C ° SP l 1 + 4ee — ßi ~ (18gg-f-14e 4 )sinP 2 -f 28<? 4 sinP 4 }, 
folglich] 
sin? = ——4^ e8 i I i^ 2 )(cJ>—J°) 
_ (1 ~ y* P {1+ 4 eg - g 4 - (18 ee+14 e 4 ) sin P 2 -f- 2 8 e 1 sin P 4 j $ - P) 3 ]... 
[Da] 
sin^ = sinP-fcosP.^ — P) — 4-sinP.(cp — P) 2 — [4-COsP. (<|> — Pf] . . . 
[ist, so wird] 
sin cp sin ^ = e {--™^r(<\> — P) 
ee 
3—¿sinPjö — ee — (5 + 3ee)sinP 2 + 4e<?sinP 4 j((jj — Pf 
2(1 — ee) 
ee 
[Mit] 
_ [6är^ cosP l 7 ~ 4ee + e4 H 19 +l 8 ^-e 4 )sinP s 
+ (46ee + 14e 4 ) sinP 4 —28e 4 sin P 6 j (cp — Pf 
cos cj> = cos P — sin P. (c)> — P) — [£ COSP. (([» — P) 2 ]. . . 
[folgt daher] 
d log n [ sin cp — sin <|> 
d d» [ cost}> 
= l=Te cos p2 ■ № - P ) ~ i«inPoo.P(8 + 4 ~cos P 2 ) - P) 2 
— 1t^ (i cos r-—i sin P 2 ) — (j~f{ 4 sin P 2 — I- cos P 2 ) cos P 2 
- (j^) 3 (4 sin P 2 - i cos P 2 ) cos P 4 j № - Pf . .. .
	        
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