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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
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22 4
PFILOSOPMIAE NATVRALIS
Corot. 5. FF E Globi moveantur in Mlediis diversis; spacium in
Medio, quod caeceris paribus magis resistie, diminuendum erit in
ratione majoris relictentix. Lempus enim (per hanc Propolicio
nem) diminuetur in ratione relistentix auctae, ex spatium in ra-
cione TempOTIS.
L. E MI M A II.
Momentum Genitae aequatur Momentis laterum sinculorum cene-
rantium in eorundem laterum indices dienitatum es coefficien-
ria continue ductis.
Genitam voco quantitatem omnem quae ex lateribus vet LCtH
nis quibuscunque, in Arichmetica per mulciplicationem, divisionem,
ec excractionem radicum; in Creometria per inventionem vel con-
tentorum ex laterum, vel extremarum ex mediarum proportionalium
absque additione ex subductione gencratur. Ejusmodi quantica-
tes tunt Facti, Duoris Radices, Rectangula, Ouadrata, Cubi, Latera
quadratas Latera cubica, ex similes. Ilas quantitates ut indeterminatas
dc instabiles, et quali motu Auxure perpetuo crescentes vel decre-
scentes, hic considero; ex carum incrementa vel decrementa momen-
tanea sub nomine Momentorum intelligo: Ita UE InCFeMentA pFO
momentis addicitiis seu affirmatiris, ac decrementa pro subductitiis
seu negatiris habeantur. Care tamen incellexeris particulas fini-
ta5. Particulae Ainicae non sunt momenta, sed quancitates ip (X CX
momentis genita. Incelligenda lunc principia jamjam nascentia A-
nitarum magnitudinum. Neque enim spectatur in hoc T emmare
magnicudo momentorum, sed prima nascentium proxortio. Fo-
dem recidit si loco momentorum usurpentur vel velocitates incre-
MENtOrUM aC deCreMENEOrUM, (quaS etiam OtUS, mutationes
Ec Auxiones quantitatum nominare licet) vel Ainitae quaeris quanti-
cates relocitatibus hisce proporrionales. Lateris autem cujusque
generantis Coefficiens est quantitas, quae oritur applicando Creni-
tam ad hoc latus.
Psitur sensus Lemmatis eAt, ue, si quantitatum quarumcunque
perpetuo mocu crescencium vel decrescentium A, B, C, _cc. mo.
menta, vel mucacionum velocitates dicaneur an b, c, ec. momentum
vel mucatio genici rectanguli AB Fuerit aB F b A, ee geniti cOn-
renci AB C momentum fuerir a BC, + b AC. + c AB: ec genitarum
clignL
DE MIOTO
CORPORDI
(11. .    HIII.