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

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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
	        
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