Valerio, Luca, De centro gravitatis solidorvm libri tres

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1
PROPOSITIO XI.
Si ſphæra, vel ſphæroides ſecetur duobus pla­
nis parallelis vtcumque, neutro per centrum ducto:
quædam autem ex centro recta linea tranſeat per
centrum alterutrius ſectionum; per centrum re­
liquæ tranſibit.
Sit ſphæra, vel ſphæroides ſectum duobus planis pa­
callelis vtcumque neutro per centrum ducto, quod ſit E:
per ſectionum autem, quæ ſunt circuli, vel ſimiles el­
lipſes, alterutrius centrum F tranſiens recta EFB oc­
currat reliquæ ſectionis plano in puncto G.
Dico reli­
quæ ſectionis centrum eſſe G.
Planum enim per OB ſe­
146[Figure 146]
cans ſphæram, vel ſphæroides, faciensque ſectionem circu­
lum, vel ellipſim ABCD, ſecabit, & ſecet prædictas ſe­
ctiones, circulos inquam, vel ſimiles ellipſes parallelas, qua­
rum alterius centrum ponitur F.
Faciatque ſectiones re­
ctas parallelas AFC, KGH: ſimiliter aliud quodlibet

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