Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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PROPOSITIO XI.
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>Omni ſolido circa axim in alteram partem defi
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cienti, cuius baſis ſit circulus, vel ellypſis, figura
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quædam ex cylindris, vel cylindri portionibus
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æqualium altitudinum inſcribi poteft, & altera
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circumſcribi, ita vt circumſcripta ſuperet inſcri
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ptam minori exceſſu quacumque magnitudine
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propoſita. </
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>Sit ſolidum ABC, circa axim AD, in alteram par
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tem deficiens, cuius vertex A, baſis autem circulus, vel
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ellypſis, cuius diameter BC. </
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<
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>Igitur ſuper hanc baſim
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circa axim AD,
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intelligatur deſeri
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ptus cylindrus, vel
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cylindri portio
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BL, quæ ſolidum
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ABC, compre
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hendet: ſectoque
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cylindro, vel cylin
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dri portione BL,
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planis baſi paralle
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lis in tot cylindros, vel cylindri portiones æqualium al
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ritudinum, vt quilibet eorum ſit minor magnitudine
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propoſita; eſto ſolidum ABC, ſectum prædictis planis:
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erunt autem ſectiones circuli, vel ellypſes fimiles inter
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ſe & baſi BC, ſolidi ABC ſuper quas ſectiones tam
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quam baſes cylindris, vel cylindri portionibus æqua
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lium altitudinum intra, atque extra figuram conſtitutis,
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quorum bini inter eadem plana parallela inter ſe refe-</
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