Ghetaldi, Marino
,
Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis
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<
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xml:space
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">SINT tria corpora æque grauia A, BC, D, quorum A, primum,
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& </
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<
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<
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xml:space
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generis cum corpore A. </
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<
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">& </
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<
s
xml:id
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xml:space
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">portio C, eiuſdem generis cum corpore
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D, ſint etiam alia tria
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corpora aquea P, OL,
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& </
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<
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xml:space
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">Q, quorũ P, ſit æqua-
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le corpori A, magnitu-
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dine, ipſum vero OL,
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æquale corpori BC, & </
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<
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<
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ipſum Q, æquale cor-
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pori D, & </
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<
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xml:space
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grauitates, G, ipſius P,
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& </
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<
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xml:space
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">H,
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ipſius Q. </
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<
s
xml:id
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xml:space
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">Dico vt diffe-
<
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rentia grauitatum G,
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H, ad grauitatem cor-
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poris BC, ita eſſe diffe-
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rentiam grauitatum
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G, FV, ad grauitatem
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portionis C; </
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<
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xml:space
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">& </
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<
s
xml:id
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xml:space
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">ita differentiam grauitatum FV, H, ad portionis B,
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grauitatem. </
s
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<
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xml:id
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xml:space
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">Sit enim portionis B, grauitas E, & </
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>
<
s
xml:id
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echoid-s1132
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xml:space
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">portionis C, gra-
<
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uitas K; </
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>
<
s
xml:id
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echoid-s1133
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xml:space
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">ergo totius corporis BC, grauitas erit EK, ſitq; </
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>
<
s
xml:id
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xml:space
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">portionis O,
<
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/>
quæ ſit æqualis portioni B, grauitas F, ergo reliquæ portionis L,
<
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/>
æqualis portioni C, grauitas erit V, Quoniam igitur eſt, vt A, ad P,
<
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/>
ita B, ad O, æquale videlicet ad æquale, erit permutando, vt A, ad B,
<
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ita p. </
s
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<
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xml:id
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xml:space
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">ad O, & </
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<
s
xml:id
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xml:space
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">quoniam ſunt eiuſdem generis A, B, ſimiliter & </
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<
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xml:space
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">P, O,
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* erit vt grauitas corporis A, hoc eſt vt EK, (ponuntur enim cor-
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pora A, BC, D, æque grauia,) ad E, ita G, ad F, quod igitur fit ex EK,
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& </
s
>
<
s
xml:id
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xml:space
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">F, nempe ex extremis, æquale erit ei, quod fit ex E, & </
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>
<
s
xml:id
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xml:space
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">G, hoc eſt
<
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ex medijs.</
s
>
<
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"/>
</
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<
s
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xml:space
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">Similiter quoniam eſt, vt D, ad Q, ita C, ad L, æquale videlicet ad
<
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æquale, erit permutando, vt D, ad C, ita Q, ad L, & </
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<
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xml:space
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eiuſdem generis D, C, ſimiliter & </
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<
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xml:space
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">Q, L, * erit vt grauitas ipſius D,
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note
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hoc eſt vt EK, ad K, ita H, ad V; </
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<
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xml:space
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">quare quod fit ex EK, & </
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<
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xml:id
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xml:space
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">V, ex extre-
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mis, æquabitur ei, quod ex H, fit & </
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</
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<
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">Sed oſtenſum eſt id quod ex EK, fit & </
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<
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xml:space
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<
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">æquale eſſe ei quod fit ex
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G, & </
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<
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<
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xml:space
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">F, vna cum eo, quod ex EK, & </
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<
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xml:space
="
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">V, hoc
<
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eſb id quod fit ex EK, & </
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<
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xml:space
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">FV, æquale erit ei quod ex G, fit & </
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<
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">E, vna
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cum eo quod ex H, & </
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<
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<
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">E, æquale eſt ei quod fit
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ex G, & </
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