Valerio, Luca - De centro gravitatis solidorum

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1ratione, tam duorum triangulorum ABG, DGE, quàm
duorum AFG, CDG, ſimul, centrum grauitatis erit G;
totius igitur polygoni ABCDEF; centrum grauitatis
erit idem G. Manifeſtum eſt igitur propoſitum.

PROPOSITIO XXII.

Omnis figuræ circa diametrum in alteram par
tem deficientis, in diametro eſt centrum graui
tatis.

Sit figura ABC, circa diametrum BD, in alteram par
tem deficiens verſus B. Dico centrum grauitatis figuræ
ABC, eſse in linea BD. ſit enim punctum E, generali
ter extra lineam BD. Et per puncta E, C, ducantur ipſi
BD, parallelæ EF,
CG, & vt eſt CD,
ad DF, ita ponatur
figura ABC, ad ali
quod ſpacium M: &
figuræ ABC, inſcri
batur figura ex paral
lelogrammis æqua
lium altitudinum de
ficiens à figura ABC,
minori defectu, quam
ſit ſpacium M, quan
tumcumque illud ſit:
minor igitur propor

32[Figure 32]
tio erit figuræ ABC, ad ſpacium M, hoc eſt minor pro
portio CD, ad DF, quàm figuræ ABC, ad ſui reliquum,
dempta figura inſcripta. Quoniam autem diameter BD,

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