Full text: Joannis Kepleri astronomi Opera omnia (Vol. 2)

Notae Editoris. 
445 
MY = 48° 24 
et latera MN = long, nonag. — 
1 67° 
mn=' 74 ° 
20 ° 22 ' 
22 ° 8 ' 
22° 52' 30' 
23° 19' 30' 
culmin. 
60° 41' = 6° 24' 
70° 44' = 3° 19' 
79° 34' — 76° 51' = 2° 43' 
84° 12' - 82° 43' = 1° 29'. 
long. 
5' — 
3' — 
) ( 28° 2' 
( 126° 16' 
i \ 
25° 31' 
25° 4' 
30' 
30' 
Hinc cos. NY = 
cos. MV 
cos. MN 
NV = 27° 21' (K. 20') = 26° 4' (17") = 25° 23' (23") = 25° 2'. 
In triangulis denique ]NSV dantur latera NV, modo inventa, lateraque 
( 127° 25' — 67° 5' 
127. 27 — 74. 3 
NS = long. Solis — long, nonagesimi = 
127. 
127. 
— 79. 34 
— 84. 12 
= 60° 20' 
= 53. 24 
= 47. 54 
— 43. 17 
ergo 
cot. NSV = cot. NV . sin. NS ; 
£ NSV = 30° 45' 50" = 31° 21' 20" = 32° 35' 52" = 34° 15' 49". 
(43) (36) 
110) p. 378. Revocantes lectorem ad ea, quae de constructione et usu tabulae 
Kepleri diximus (annot. 89), haec tantum addimus : 
Assumta distantia Lunae a Terra = 58% Terrae semidiametrorum, eademque Solis = 1158,8 
1 
sin. 
prodit sin. parali, horiz. Lunae = 
58,4 
1 
1158,8 
Parallaxis Lunae a 
Solis = 
= sin. 58' 53' 
= sin. 2' 58" 
Sole = 55' 55" (K. 56' „proxime“). 
Pro parallaxibus reliquis elegimus primum momentum. Parali, horiz. Lunae a Sole = 56', 
data distantia a vertice (NV) “ 27° 20', hinc sin. parall. lat. ” sin. 27° 20' 
sin. 
56' 
= sin. 25' 42" 
visa lat. austr. 13. 3 
vera latit. = 12. 39. 
49' 45". Kepl. 49' 50". Visa Lunae distantia 
sive, adhibitis 49' 50" = sin. 43' 15". 
Coei. p. 422, ubi legimus : „hanc eclipsin 
Deinde cos. NV X sin. 56' = sin. 
nonagesimo = 60° 13' 
sin. 60° 13' X sin. 49' 45" = sin. 43' 10' 
111) p. 379. Inest haec observatio Hist. 
ab 8 inspectoribus observatam fuisse.“ Initium eclipsis proditur sicut a Keplero, finis autem 
h. 9; duratio 2 1 * 10'. Hora 8. 12' additum: „restabat quarta pars Solis eclipsata.“ Addi 
tamentum, quod Keplerus affert, ad horam 8. 30 5 / 6 ' refertur. 
Calculum absolvit Keplerus „artificio prosthaphaeretico“, adhibito eodem plano, quod 
p. 377 dixerat. Ut probemus calculum formula utemur hac : 
Sit (Fig. 144) PS complem. Solis declinationis, VP = ait. aequatoris (34° 5'), et 
angulus P per distantiam Solis a meridie (3 1 » 39') cognitus, 
ergo cos. VS == cos. P X sin. VP X sin. PS -f- cos. VP X cos. PS, sive, 
si pro complemento ipsam declinationem Solis adhibeamus, 
cos. VS = cos. 54° 45' X sin. 34° 5' X cos. 1S° 28' -f cos. 34° 5' X sin 18° 28' 
lg- 
cos. 
sin. 
cos, 
54° 45' 
34. 5 
18. 28 
9,7612851 
9,7484967 
9,9770410 
cos. 
sin. 
34° 5' = 9,9181475 
18. 28 = 9,5007206 
0,4868228 
0,30678 
0,26234 
— 1 
0,4188681 
0,26234 
— 1 
lg. 0,56912 = 9,7552038 = lg. cos. 55° 18' 
dist. centrorum = 
25' 
(VS) 
27" 
55° 43' 27' 
Sin. parallaxeos = sin. 
Parallaxis = 46' 
Distantia visa == 25' 
20 ' 
55° 43' 27' 
16" 
27" 
'49' 
X sin. 56' 
(K. 20' 44", quia ipsi additis angulis 55° 18' -f- 25' 27' 
prodiit summa 55° 33' 27". 
falsa
	        
Waiting...

Note to user

Dear user,

In response to current developments in the web technology used by the Goobi viewer, the software no longer supports your browser.

Please use one of the following browsers to display this page correctly.

Thank you.