Full text: [Allgemeine Analysis] Theoria combinationis observationum erroribus minimis obnoxiae (3. Band)

326 
NACHLASS. 
ubi pro coefficientibus y, y', 3' etc. valores sequentes invenimus: 
Periodus 
y— ^ 
Y 
Y' 
Y" 
Y'" 
5' 
5" 
5"' 
prima 
0° 
0 
0 
0 
0 
— 103830,165 
+ 15406,638 
0 
secunda 
60 
+ 56"205 
— 217"757 
+ 7 61"671 
— 1528,825 
— 103937,346 
4-15841,387 
— 882,667 
tertia 
120 
4- 56, 115 
— 217,467 
-f-760, 805 
— 1527,397 
— 104151,314 
4-16709,402 
— 2645,530 
quarta 
180 
0 
0 
0 
0 
— 104258, 100 
4-17142,684 
— 3525,740 
quinta 
240 
— 56, 115 
— 217, 467 
— 760, 805 
+1527,397 
— 104151,314 
4-16709,402 
— 2645,530 
sexta 
300 
— 56, 205 
— 217,757 
— 761, 671 
4-1528,825 
— 103937,346 
+ 15841,387 
— 882,667 
Singuli coefficientes y, y', y", y'", i', 3", 3"' rursus sub formam talem 
g —{— s' cos 6 # + g" cos 1 2 o? —}— g"'cos 1 8 a? 
+ C'sin 6#+£"sin 1 2#+£"'sin is# 
reducentur: nullo vero negotio perspicitur, pro quatuor prioribus evanescere de 
bere g, g', g", s r "; et pro tribus posterioribus, 4", Hoc modo invenitur 
y = -j- 64",848 sin6#+0",052sin 1 2# 
y' — — 251",277 sin 6#—0", 1 67 sin 12# 
y" = + 87 9",002 sin 6#+0",500 sin 12# 
y"'— —17 64", 511 sin 6#— 0",824 sin 1 2# 
V = —104044",264+ 21 3",968cos 6# + 0",132cos 12#+ 0",000 cos 18# 
3"=+ 16275",150— 868",020cos6# — 0",489 cos 12#—0", 003 cos 18 # 
S'"= — 17 63",689 + 17 62",868 cos 6 #+ 0",819 cos 1 2#+ 0",002cos 18 # 
His valoribus pro y, y' etc. substitutis, praeceptisque art. praecc. observa 
tis, prodit functio sequens pro aequatione centri, in qua singuli coefficientes intra 
centesimam minuti secundi partem exacti sunt. 
— 
104044"264 
sin# 
+ 
16275,150 
sin 
2# 
— 
3527,378 
sin 
3# 
+ 
873,51 1 
sin 
4# 
— 
232,622 
sin 
5# 
+ 
64,848 
sin 
6 # 
— 
18,655 
sin 
7# 
5,491 
sin 
8 # 
— 1 643 sin9# 
+ 0,494 sin 10# 
— 0,149 sin 11 # 
+ 0,052 sin 1 2# 
— 0,017 sin 1 3# 
+ 0,006 sin 14# 
— 0,004 sin 15# 
+ 0,003 sin 16#
	        
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