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#