Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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figura circumſcripta, quæ cum prædictis circa figuram AB
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C erunt bina ſumpto ordine à puncto B, in eadem propor
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tione inter eadem plana parallela, vel rectas parallelas
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ſtentia</
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, propter ſectiones, ideſt baſes, & æquales altitudines:
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binorum autem quorumque homologorum idem erit in li
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nea BF, centrum grauitatis: punctum igitur K, centrum
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grauitatis figuræ ipſi ABC circumſcriptæ, idem erit fi
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guræ ipſi DBE, circumſcriptæ centrum grauitatis: cadi
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infra centrum
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grauitatis H figu
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ræ DBE, quod eſt
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abſurdum.</
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igitur centrum gra
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uitatis figuræ DB
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E, cadit ſupra pun
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ctum G. </
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<
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dat infra, vt in pun
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cto L. </
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tur figuræ DBE fi
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gura, qualem dixi
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mus circumſcripta,
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cuius centrum gra
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uitatis M, ſit pro
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pinquius centro L,
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quàm punctum G, figuræ ABC altera qualem diximus
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figura circumſcribatur, cuius centrum grauitatis ſit idem
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punctum M, quod fieri poſſe conſtat ex ſuperioribus. </
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<
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G ponitur centrum grauitatis figuræ ABC; ergo centrum
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grauitatis figuræ ipſi ABC, circumſcriptæ erit propinquius
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baſi & puncto F, quàm figuræ ABC centrum grauitatis,
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quod fieri non poteſt. </
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<
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>Non igitur figuræ DBE centrum gra
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uitatis cadit infra punctum G. </
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<
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>Sed neque ſupra; punctum
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igitur G erit commune duarum figurarum ABC, DBE,
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centrum grauitatis. </
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<
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