Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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<
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>Sit conoides parabolicum ABC, & cylindrus AE, &
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conus ABC, quorum omnium ſit eadem baſis circulus,
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cuins diameter AC, axis autem BD, ac proinde vna om
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nium altitudo. </
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<
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>Dico conoidis ABC eſse cylindri AE
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dimidium, coni autem ABC ſeſquialterum. </
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<
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>Secto enim
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axe BD in tot partes æquales, quarum infima ad baſim ſit
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MD, vt figura ex cylindris æqualium altitudinum conoi
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di ABC circumſcripta, inſcriptam ſuperet minori ſpacio
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quantacumque magnitudine propoſita, & ſit hoc factum.
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<
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>Et quoniam quibus planis parallelis tranſeuntibus per præ
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dictas ſectiones axis BD ſecatur conoides ABC, ijſdem
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ſecatur triangulum per axim ABC, eruntque ſectiones
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parallelæ: ſit triangulo ABC circumſcripta figura ex pa
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rallelogrammis æqualium altitudinum, quæ triangulum &
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ipſa excedat minori ſpacio quantacumque magnitudine
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propoſita. </
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<
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>Cylindrorum autem qui ſunt circa conoides, &
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parallelogrammorum multitudine æqualium, quæ ſunt cir
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ca triangulum ABC, duo proximi baſi AC cylindri ſint
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AF, HL, & totidem parallelogramma illis reſpondentia
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inter eadem plana parallela ſint AF, GK. </
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<
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