Full text: Archimedes: Archimedis De iis qvae vehvntvr in aqva libri dvo

DE CENTRO GRAVIT. SOLID. ſimiliter demonſtrabitur totius priſmatis a _K_ grauitatis eſ
ſe centrum. Simili ratione & in aliis priſinatibus illud
idem ſacile demonſtrabitur. Quo autem pacto in omni
figura rectilinea centrum grauitatis inueniatur, do cuimus
in commentariis in ſextam propoſitionem Archimedis de
quadratura parabolæ.

73.1.

0138-01

Sit cylindrus, uel cylindri portio c e cuius axis a b: ſece-
turq, plano per axem ducto; quod ſectionem faciat paral-
lelo grammum c d e f: & diuiſis c f, d e bifariam in punctis
g h, per ea ducatur planum baſi æquidiſtans. erit ſectio g h
circulus, uel ellipſis, centrum habens in axe; quod ſit K: at-
que erunt ex iis, quæ demonſtrauimus, centra grauitatis
planorum oppoſitorum puncta a b: & plani g h ipſum _k_. in
quo quidem plano eſt centrum grauitatis cylindri, uel cy-
lindri portionis. Dico punctum K cylindri quoque, uel cy
lindri portionis grauitatis centrum eſſe. Si enim fieri po-
teſt, ſitl centrum: ducaturq; k l, & extra figuram in m pro-
ducatur. quam uero proportionem habet linea m K ad _k_ l

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