C 3 If? ] 
1 • * . , t ** - . » 
P r o p o s i t i o IV. Problem a. 
lifdem pofitis, variationem inclinationis orbis planets 
interioris ad planum orbis planets exterioris deter- 
m in are. 
Efto NQV (Fig. 5.) quadrans circuli, cui erigatur 
perpendicularis Vt occurrens arcui ?zQr_produ6lo in 
t, eritque V / menfura variationis inclinationis orbis 
NQV fads quo tempore nodus N transfertur in n . 
Eft autem V t : nm : : fin. QV five cof. QN : fin. QN, 
atque nm : N n :: c : 1, c denotante finum inclina- 
tionis orbis QN ad orbem PN, adeoque Vt:Nn::c 
X cof. QN : fin. QN 5 unde Vt = N» x 
five, quia per propofitionem ftiperiorem habetur N;z 
— QJ X fin. PN x bn. QN x Q^, Vt — rxQJ 
X fin. PNx cof. QN x Q?. Hinc, cum fit fin. PN 
X cof. QN — *. fin. 2 s — — s 2 a — 2. fin. r, 
fumpta fluente piodit variatio inclinationis, quo tem- 
pore pianeta Q^ji loco conjundionis C movetur per ar- 
cum CQ., ^qualis — -~r in R — - _ - x fin. ver£ 
1 1 s 
— J J 
n 1 
“ fin. verf —s -]- — 
W 
u 
6 
fin. verf. — s 
n 
+ 
fin. verf. -i s &c. -f- j n — 2 
O t k n 
X fin, verf. 2<z-f-R — — x — — fin. verf 2s — -s 4-2 a 
A’ 2 n — 1 n ' 
+ » x h fia verf * 27+1^ + 5 x- ! — fin. verf. 
2 i 
