Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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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
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

[Figure 93]
g h, per ea ducatur planum baſi æquidiſtans.
erit ſectio g h
circulus, uel ellipſis, centrum habens in axe;
quod ſit K: at-
4. huius.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