V 
C 182) 
Exemplum. Sit V A B EI- 
iipfis cujus focus S, Axis major 
V B = Axis minor = 2 
latus Rectum = 2 R. Sitque 
V ^ Q. alia curva, ita ad haiic 
relata, ut fit perpetuo angulus 
V S A angulo V S 4 propordo- 
"ttalis, & fit S 4 =: S A , Quseri- 
^iir lex vis centripetse tendentis 
S, qiia corpus in curva V ^ Q. 
^overi poteif. -- 
Quoniam ang. V S A eft ad 
V S in data radoire- • horum 
' angulorum iiKremen'ta .erurit in 
eadein ratione, • fitque ea ratio 
y. , - . . ' » X o T 
ad ;; ; unde erit 0 ^.= 
m 
Eft autemOT= 
1 1 
yi’SA.-SA^-d^ 
unde erit of= 
ndS A 
SA-SA^.^^ 
\r' 
^ Quoniam autem eft S -f S.P* ; S :: t a* 0 : o t% 
' d^SKi ^ ‘ ^ d^^^ 
r-’ . 
s ; SA ^-f 
w^^SA — SA^r"^* * 7 »*^SA — SA^ — d *• 
n^d^ n'^'d^ 
^ h SA—SA—d^^' x S A — SA* — ^ ’ 
m'^b SA — S A^ d"^ 4- d^ d^, unde erit 
. / , (! S-., 
m^bS A-^ S d^ n'' d^ i ^d : : S A 1 
SP, Sf S P - 
n d S A 
r» 
^S A— S A^-^m^,d ^.j^'n^d s 
Cujus.iit, habeatuE fluxio pro w » ^ S A' ~ w ^ S A ^ — 
C •.. 4. I 
\ 
