Valerio, Luca, De centro gravitatis solidorvm libri tres

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1feras, reliquæ BF, FD æquales erunt; tota igitur FH to­
ti FK æqualis eſt: in triangulo autem AHK recta AF
ſecat LM, HK parallelas in eaſdem rationes; erit igitur
LG æqualis ipſi GM; cum igitur æqualium triangulo­
rum ABC, ADE centra grauitatis ſint L, M; erit com
poſiti ex vtroque centrum grauitatis G. Idem oſtendere­
mus, quod proponitur, & ſi baſes prædictorum triangulo­
rum ſint continuæ. Manifeſtum eſt igitur propoſitum.
PROPOSITIO XXIII.
Si duæ parabolæ in eodem plano circa æqua­
les diamet ros in directum inter ſe conſtitutas, ita
vt vertices ſint extrema ex diametris compoſitæ,
communem habuerint aliquam ordinatim ad dia
metrum applicatarum, & vertices cum puncto con
uenientiæ iungantur rectis lineis: centrum gra­
uitatis v triuſque portionis ijs rectis lineis ab ſciſ
ſæ, rectam lineam, quæ terminum communem
diamctrorum, & concurſum parabolarum iungit
bifariam diuidit.
Circa æquales
diametros AD,
DC indirectum
inter ſe conſtitutas,
verticibus A, C,
duæ parabolæ in
eodem plano com­
munem habeant ali­
quam BD ordi­
165[Figure 165]

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