BBBa
Bl
THEORIA INTERPOLATIONIS METHODO NOVA TRACTATA.
325
primo i. e. pro a — 0, et valore pari ipsius jx evadit X' = -f{jL, terminus L sinX<r
omnino destruatur.
41.
Quum omnes casus speciales in artt. 29—40 considerati ad casum genera
lem in artt. 20—28 absolute reducti sint, omnia artificia, per quae in hoc casu
calculus abbreviatur, qualia in artt. 25, 26, 27 explicavimus, etiam ad illos
applicari poterunt. Quamobrem non opus erit, huic disquisitioni immorari, cui
sequens exemplum ad artt. 39, 40 pertinens, finem imponet.
Aequatio centri pro novo planeta lunone, adhibita excentricitate 0,254236,
calculata est per methodum indirectam per singulos denos gradus, ut sequitur
Anomalia media
oc
Aequatio Centri = X
• +
0°
360°
0
0
10
350
3°
50'
38"30 . .
. . 1 3838"30
20
340
7
38
21,47 . .
. . 27501,47
30
330
11
20
8,79 . .
. . 40808,79
40
320
14
52
48,06 . .
. . 53568,06
50
310
18
12
49,21 . .
. . 65569,21
60
300
21
16
17,02 . .
. . 76577,02
70
290
23
58
42,92 . .
. . 86322,92
80
280
26
14
55,85 . .
. . 94495,85
90
270
27
58
52,36 . .
. . 100732,36
100
260
29
3
28,13 . .
. . 1 04608,13
110
250
29
20
33,68 . .
. . 105633,68
120
240
28
41
2,10 . .
. . 103262,1 0
130
230
26
55
22,77 . .
. . 96922,77
140
220
23
55
2,70 . .
.. 86102,70
150
210
19
35
0,79 . .
.. 70500,79
160
200
13
57
40,52 . .
. . 50260,52
170
190
7
16
58,33 . .
. . 26218,33
180
180
0
0
Discerpimus hanc periodum 36 terminorum in sex minores senorum termi
norum; valores seni functionis X in singulis periodis contenti exhibebuntur per
formulam talem
T J COS,2?+/cos 2 ¿7+ y "'cos 3 oc
-j-S , sin<a?-|-3"sin 2.27-}-8 "'sin 3 x