Valerio, Luca, De centro gravitatis solidorum, 1604

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1diametri AG. Quod eſt propoſitum.
COROLLARIVM.
Hinc manifeſtum eſt, omnis parallelogrammi
centrum grauitatis eſſe in medio rectæ, quæ op­
poſitorum bipartitorum laterum ſectiones iungit.
PROPOSITIO XV.
Si quodlibet parallelogrammum in duo paral­
lelogramma diuidatur, & eorum centra grauitatis
iungantur recta linea; totius diuiſi parallelogram­
mi centrum grauitatis prædictam lineam ita di­
uidit, vt eius ſegmenta è contrario reſpondeant
prædictis partibus parallelogrammis.
Sit parallelogrammum ABCD, ſectum in duo paral­
lelogramma AE, ED, &
parallelogrammi AE, ſit
centrum grauitatis H, pa­
rallelogrammi autem ED,
centrum grauitatis K: &
parallelogrammi ABCD,
ſit centrum grauitatis G:
& iungatur KH.
Dico re­
ctam KH, diuidi à puncto
G, ita vt ſit KG, ad G
H, vt eſt parallelogrammum
AE, ad parallelogrammum
23[Figure 23]
ED, Iungantur enim diametri AC, AE, ED.
Igitur

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