Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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quale eſse cono, vel portioni conicæ. </
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<
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>Nam circa axim
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BD, & ſuper baſim circulum, vel ellipſim, cuius diame
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ter RE, ſimilem & oppoſitam ei, quæ circa AC, deſcri
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batur conus, vel coni portio RDE. </
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fariam ſecto, & ſingulis eius partibus rurſus bifariam, vt
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partes axis BD omnes ſint æquales, per puncta ſectio
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num, quotquot erunt, totidem plana parallela ſecent vnà
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cum ſolido AE duas ipſius partes, ſolida ABC, RDE.
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>Omnes igitur factæ ſectiones, vel erunt circuli, vel ſimiles
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ellipſes ei, quæ eſt circa AC, atque adeo inter ſe ſimiles:
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talium autem ſectiones communes cum AE parallelo,
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grammo per axim, erunt rectæ lineæ, ternæ in ſingu
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lis planis ſecantibus, & in eadem recta linea; vt in proxi
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ma ipſi RE, ſunt FL, GN, KM, quæ quidem erunt
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trium circulorum, vel ſimilium ellipſium diametri eiuſdem
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rationis baſium trium ſolidorum, cylindri ſcilicet, vel por
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tionis cylindricæ FL, fruſti GL, & portionis KBM, he
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miſphærij, vel hemiſphæroidis ABC. </
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>Itaque circa axem
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BH cylindri, vel portionis cylindricæ FE, & ſuper ba
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ſes circulos, vel ellipſes circa GN, KM, deſcribantur
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cylindri, vel cylindri portiones GP, KQ, qui pat
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tes erunt totius cylindri, vel portionis cylindricæ FE.
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>Idem fiat circa reliquas axis partes BD tamquam axes, </
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