Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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1
tate conjunctim; & ſimiliter Reſiſtentis reactio æſtimetur conjun­
ctim ex ejus partium ſingularum velocitatibus & viribus reſiſtendi
ab earum attritione, cohæſione, pondere, & acceleratione ori­
undis; erunt actio & reactio, in omni inſtrumentorum uſu,
ſibi invicem ſemper æquales.
Et quatenus actio propagatur per
inſtrumentum & ultimo imprimitur in corpus omne reſiſtens,
ejus ultima determinatio determinationi reactionis ſemper erit
contraria.
DE MOTU
CORPORUM
DE
MOTU CORPORUM
LIBER PRIMUS.
SECTIO I.
De Methodo Rationum primarum & ultimarum, cujus ope ſequentia
demonſtrantur.
LEMMA I.
QUantitates, ut & quantitatum rationes, quæ ad æqualitatem
tempore quovis finito conſtanter tendunt, & ante finem tempo­
ris illius propius ad invicem accedunt quam pro data quavis diffe­
tia, fiunt ultimo æquales.
Si negas; fiant ultimò inequales, & ſit earum ultima differentia
D.Ergo nequeunt propius ad æqualitatem accedere quam pro
data differentia D:contra hypotheſin.

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