Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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1tervallo CAdeſeribatur Globus exterior ABD,& intra hunc Glo­
bum a Rota, cujus diameter ſit AO,deſcribantur duæ Semicycloides
AQ, AS,quæ Globum interiorem tangant in Q& S& Globo ex­
teriori occurrant in A.A puncto illo A,Filo APTlongitudinem
ARæquante, pendeat corpus T,& ita intra Semicycloides AQ,
ASoſcilletur, ut quoties pendulum digreditur a perpendiculo AR,
99[Figure 99]
Filum parte ſui ſuperiore APapplicetur ad Semicycloidem illam
APSverſus quam peragitur motus, & circum eam ceu obſtacu­
lum flectatur, parteque reliqua PTcui Semicyclois nondum obji­
citur, protendatur in lineam rectam; & pondus Toſcillabitur in
Cycloide data QRS. que E. F.
DE MOTU
CORPORUM
Occurrat enim Filum PTtum Cycloidi QRSin T,tum circulo
QOSin V,agaturque CV;& ad Fili partem rectam PT,e punctis
extremis Pac T,erigantur perpendicula PB, TW,occurrentia re­
ctæ CVin B& W.Patet, ex conſtructione & geneſi ſimilium Fi­
gurarum AS, SR,perpendicula illa PB, TWabſcindere de CVlon­
gitudines VB, VWRotarum diametris OA, ORæquales. Eſt igi­
tur TPad VP(duplum ſinum anguli VBPexiſtente 1/2 BVra-

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