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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 132, page id 1041163592:0166
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MIIIMIII
PHTLOSODETLLE NATDRALIS
DE MorD era perentu, ec planis excencricis innitentium hic considerandus
velI. Pland aurem supponimus esse politissima ex ab solute lubrica
sic corpora secardene. Ouinimo, in his demonstrationibus, vi-
ce planosu Quibus corpora incum bunE quXquC TANGUINE InCUM-
bendo; uupautus plana his parallela, in quibus centra corpO-
rum erentut d Orbitas movendo delcribunt. Et eadem leoc
Mocuo corporum in superticiebus Curris peractos subinde de-
terminautu
S F CTIC
X.
De Moru Corporum in Supersiciebus datis, deque Funipendutorum
MOTU reCIPYOCO.
PROPOSITIO ZIVI. PROBLEMA XXXII.
Posita cujuscunque generis Vi centripeta, datoque tum Virium cen
tro rum Plano quocunque in quo corpus revolvitur, e conces-
Sis Firurarum cur vilinearum quadraturis: requiritur Motus cor-
poris de loco dato, data cum Velocitate, secundum rectam in
Plano illo datam coressi.
Sie Scentrum Virium, SC distaneia minima ceneri hujus a Plano
dato, F corpus de loco F secundum rectam P Z egrediens, 
corpus idem in Prajectoria lua revolrens, et P Q R Trajectoria
illa, in Plano dato de (CFIPFA, QUAM InVENIrC OPOPFCE. JUnGANEUT CB
85, Se _ in 4S capiaeur SV proportionalis vi centripCEX qua
COrpuS trahitur versuS Centrum S, _E aG2TUE V Z quae siE Parallcla
CE _E OCCUETAESC inT: Vis SV resolvetur (per Legum C OrOL. 2.)
in vires ST, TV; quarum ST erahendo corpus secundum lincam
plano pervendicularem, nil mutat motum ejus in hoc plano. Vis
aucem altera TV agendo secundum positionem plani erahie cor-
pus directe vertus punctum Cin plano datum, adeoque Facie illud
in hoc plano perinde moreri ac si vis ST cOIlCTCtUF, eE COrpuS vi
Cola YV revolreretur circa cenerum Ci in spatio libero. Data autem
Vi
3
PORPORVH