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