Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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1ad mediocrem ſuam quantitatem TP,ut & vis TMad medio­
crem ſuam quantitatem 3 PK.Hæ vires, per Legum Corol. 2.
componunt vim TL; & hæc vis, ſi in radium TPdemittatur
perpendiculum LE,reſolvitur in vires TE, EL,quarum TE,
agendo ſemper ſecundum radium TP,nec accelerat nec retardat
deſcriptionem areæ TPCradio illo TPfactam; & ELagendo
ſecundum perpendiculum, accelerat vel retardat ipſam, quan­
tum accelerat vel retardat Lunam.
Acceleratio illa Lunæ, in
tranſitu ipſius a Quadratura Cad Conjunctionem A,ſingulis
temporis momentis facta, eſt ut ipſa vis accelerans EL,hoc eſt,
ut (3PKXTK/TP). Exponatur tempus per motum medium Luna­
rem, vel (quod eodem fere recidit) per angulum CTP,vel
207[Figure 207]etiam per arcum CP.Ad CTerigatur normalis CGipſi CT
æqualis.
Et diviſo arcu quadrantali ACin particulas innumeras
æquales Pp,&c. per quas æquales totidem particulæ temporis
exponi poſſint, ductaque pkperpendiculari ad CT,jungatur
TGipſis KP, kpproductis occurrens in F& f; & erit Kkad
PKut Ppad Tp,hoc eſt in data ratione, adeoque FKXKk
ſeu area FKkf,ut (3PKXTK/TP), id eſt, ut EL; & compoſite,
area tota GCKFut ſumma omnium virium ELtempore toto
CPimpreſſarum in Lunam, atque adeo etiam ut velocitas hac

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