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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 15, page id 1041163592:0049
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PRINOIPLA MATHEMATICA
geret illud haec plana riribus p N, FI N perpendiculariter, nimirum
planum pD vi pNV, ec planum pC ri _IN. Idcoquesi tollatur pla-
num p. uc pondus cendar tlum; quoniam tilum (ultinendo pon-
dus jam vicem praestat plani sublatis tendetur illud eadem ri pN,
qua planum antea urgebatur. Inde tensio Eili hujus obliqui crit
ad censionem hli alcerius perpendicularis P N, uE p NV. ad pFL. 1d-
eoque si pondus p sic ad pondus A in racione quae Componitur ex
ratione reciproca minimarum dictanciarum filorum cuorum p A,
AM a centro rorae, ex ratione directa p I ad p N; pondera idem
valebunt ad rotam movendam, acque adeo le mutuo sultincbune,
uc quilibet experiri potest.
Pondus autem p, planis illis duobus obliquis incumbens, rationem
habet cunei inter corporis As Facies internas: et inde vires cunci
ex mallei innocescunt: utpore cum vis qua pondus p urget planum
Q uc ad rim, qua idem vel graritare lua vel iccu mallei impellitur
secundum lincam p e in plano, ut p N and p HI; acque advim, qua
urset planum alterum pG, uIC pNV ad NFI. Scd es vis CochICK PeF
similem virium divisionem colligitur; quippe quae cuncus eAt a re-
ete impulsus. OTus isitur Corollarii hujus lacistime patet, ec late
Patendo veritatem Cuam crincit; cum pendeat ex jam dictis Mecha-
nica tota ab Auctoribus diversimode demonstrata. Px hilce enim
Facile derirantur vires Machinarum, quae ex Rotis, Trmpanis,
Prochleis, Vectibus, nervis tensis ex ponderibus directe vel obli-
que ascendentibus, caeterisque potentiis Mechanicis componi (o-
lent, uc ec rires Tendinum ad animalium osta movenda.
COROLLARIOM MI.
Quantitas motus quae collicitur capiendo summam moruum factorum
ad eandem parrem, es differentiam factorum ad contrarias, non
mutatur ab actione corporum inter se.
Erenim actio eique contraria reactio aequaleS TuInE Per L eGCM IIF,
adeoque per Legem rr equales in motibus eficiunE mutationes ver-
lus contrarias partes. Frso si motus tiunt ad candem partem; quic-
quid additur morui corporis. Fusieneis, subducetur motui corporis
insequentis sic, uc summa manear eadem quae prius. Sin corpora ob-
riam eane; requalis erie subductio de moru utriusque, adeoque diste-
rentia mocuum factorum in contrarias parres manebit cadem.
Scucorpus sphaericum A sictriplo majus corpore sphaerico B, ha-
Deacque duas relocitatis partes; et B sequatur in eadem recta cum ve-
locitatis
L EGFS
NOrVS.