1Gv; & GvPad Qv quad.ut PCquead CDq; & (per Corol. 2.
Lem. VII.) Qv quad.ad Qx quad.punctis Q& Pcoeuntibus fit
ratio æqualitatis; & Qx quad.ſeu Qv quad.eſt ad QTq,ut EPq,
ad PFq,id eſt ut CAq,ad PFq,ſive (per Lem. XII.) ut CDq,
ad CBq:& conjunctis his omnibus rationibus LXQRfit ad
QTqueut ACXLXPCqXCDqſeu 2CBqXPCqXCDqad
PCXGvXCDqXCB quad.ſive ut 2PCad Gv.Sed punctis
P& Qcoeuntibus æquantur 2PC& Gv.Ergo & his propor
tionalia LXQR& QTqueæquantur. Ducantur hæc æqualia in
(SPq/QR). & fiet LXSPqueæquale (SPqXQTq/QR). Ergo (per Corol. I
22[Figure 22]
& 5 Prop. VI.) vis centripeta reciproce eſt ut LXSPq,id eſt
reciproce in ratione duplicata diſtantiæ SP. que E. I.
Lem. VII.) Qv quad.ad Qx quad.punctis Q& Pcoeuntibus fit
ratio æqualitatis; & Qx quad.ſeu Qv quad.eſt ad QTq,ut EPq,
ad PFq,id eſt ut CAq,ad PFq,ſive (per Lem. XII.) ut CDq,
ad CBq:& conjunctis his omnibus rationibus LXQRfit ad
QTqueut ACXLXPCqXCDqſeu 2CBqXPCqXCDqad
PCXGvXCDqXCB quad.ſive ut 2PCad Gv.Sed punctis
P& Qcoeuntibus æquantur 2PC& Gv.Ergo & his propor
tionalia LXQR& QTqueæquantur. Ducantur hæc æqualia in
(SPq/QR). & fiet LXSPqueæquale (SPqXQTq/QR). Ergo (per Corol. I
22[Figure 22]& 5 Prop. VI.) vis centripeta reciproce eſt ut LXSPq,id eſt
reciproce in ratione duplicata diſtantiæ SP. que E. I.
zoom in
zoom out
zoom area
full page
page width
set mark
remove mark
get reference
digilib