Valerio, Luca - De centro gravitatis solidorum

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1tur in parabola ABC rectis ad diametrum ordinatim ap
plicatis eſt vt BM ad BD longitudine, ita MH ad AD
potentia: hoc eſt, ita circulus, cuius diameter HMN, ad
circulum, cuius diameter ADC, hoc eſt ita cylindrus HL,
ad cylindrum AF propter æqualitatem altitudinum: ſed
vt BM ad BD, ita eſt GM ad AD, propter ſimilitudinem
triangulorum, hoc eſt ita parallelogrammum GK ad AF, pa
rallelogrammum; ergo vt parallelogrammum GK ad paral
lelogrammum AF, ita eſt cylindrus HL ad cylindrum AF.
Similiter oſtenderemus reliqua parallelogramma, quæ ſunt

89[Figure 89]
circa triangulum ABC eſse cum reliquis cylindris, qui ſunt
circa conoides ABC bina ſumpta prout inter ſe reſpon
dent in eadem proportione; ſemper igitur componendo, &
ex æquali erit vt tota figura triangulo ABC circumſcripta
ad parallelogrammum AF, ita figura conoidi circumſcri
pta ad AF cylindrum: ſed vt parallelogrammum AF, ad
parallelogrammum AE, ita eſt cylindrus AF ad cylindrum
AE, propter æqualitatem omnifariam ſumptarum altitu
dinum; ex æquali igitur erit vt figura triangulo ABC cir
cumſcripta ad parallelogrammum AE, ita figura conoidi

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