Valerio, Luca, De centro gravitatis solidorvm libri tres

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1duæ magnitudines commune habebunt centrum
grauitatis.
Sit recta linea AB, & quotcumque magnitudines
FGH, & totidem KLM, binæ in eadem proportione:
nimirum vt F ad G ita K ad L: & vt G ad H ita L ad
M. in recta autem AB, ſint communia centra grauitatis,
C duarum FK, & D duarum GL: & E duarum HM. Om­
nium autem primarum tamquam vnius magnitudinis ſit
centrum grauitatis O. Dico & omnium ſecundarum ſi­
mul centrum grauitatis eſse O. Duarum enim FG ſi­
98[Figure 98]
mul ſit centrum grauitatis N. Vtigitur eſt F ad G, hoc
eſt, vt K ad L, ita erit DN, ad NC. punctum igitur N
eſt centrum grauitatis duarum magnitudinum KL ſimul.
Rurſus, quia componendo, & ex æquali, eſt vt FG ſimul
ad H, ita KL ſimul ad M: eſt autem tam duarum FG,
quam duarum KL ſimul centrum grauitatis N, ſimiliter
vt ante oſtenderemus duarum magnitudinum FGH,
KLM centrum grauitatis eſse O. Quod eſt propoſitum.
PROPOSITIO XXVI.
Si ſint quotcumque magnitudines, & aliæ ip­
ſis multitudine æquales primarum, ex quibus cen
tra grauitatis in eadem recta linea diſpoſita ſint
alternatim ad centra grauitatis ſecundarum, qua-

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