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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 14, page id 1041163592:0048
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DHTLOSOPMILL NAIVRALIS
COROLLARIOM I.
Fit hinc patet compositio vis directae AD ex viribus quibusvic
obliquis AB e BD, es vicissim resolutio vis cujusvis directae
AD in obliquas quascunque AB es BD. Quae quidem compositio
es resolutio abunde confirmatur ex Mechanica.
VE C de rocxe alicujus centro O excunces radii inaequales ON,
ON Alis MIA, NT Iustincane pondera A_ F, e guarantur vi-
res ponderum ad morendam rotam: Per centrum C agatur recta
XOL. Elis perpendiculariter occurrens in R ex L, centroque O et
interrallorum OK, OL. majoreOF
delcribatur circulus occurrens AlO
M A in D: ec actxe rectae OD P2
rallela sE AC, et perpendicularis
DC. Ouoniam nihilretert, utrum
florum puncta R, L, D aAXa SINE
an non affixa ad planum rocxe; pon
dera idem valebune, ac R Cuipende.
rentur a punctis R _ L vel D aEL
Ponderis autem  exponatur vis t0.
caperlincam A D, e hxecrelOlvetur 
in vires AC, C D, quarum AC trahendo radium OD directcacen-
ero nihil ralec ad movendam rotam; vis autem altera DC, trahen-
doradium DO perpendiculariter, idem valet ac s perpendiculari-
ter traheret radium OL. ipsi O D aequalem; hoc eAt, idem atque
pondus P, si modo pondus illud sc ad pondus A ut vis D C’ad
vim D A, id est (ob similia criangula AD C, DOK,) Ut OR
adOD Ceu OL. Pondera isitur A ex P, quxe Punt reciproce uE
radii in directum positi OK e OL, idem pollebune, ec sic consi-
Aene in aequilibrio: jua est proprietas notissima Librx, Vectis, de
AXis in Peritrochio. Sin pondus alterutrum sic majus quam inhac
ratione, erit vis ejus ad movendam rotam tanto major.
Duod si pondus pponderi F aequale parrim suspendatur Flo NV p,
Parcim incumbat plano obliquo pC: agantur p (I, NFI, prior ho-
rizonci, polterior plano pC perpendicularis; ex A vis ponderis p
deorsum cendens, exponatur per lineam p II, resolri porest haec in
vires pNV, IINV. Si Elo p N perpendiculare esset planum aliquod
 secuns planum alterum per in linca ad horixontem paral-
lela; et pondus p his planis p P. pC Tolummodo incumberet; ur-
BerCE
AXION AT A,