Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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do AF dempto ABC, centrum grauitatis eſſe
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K.
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<
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ſuper baſim circulum, vel ellipſim, cuius diameter EF ſi
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milem, & oppoſitam ſolidi ABC, vel AF baſi, cuius dia
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meter AC, ſtet cylindrus, vel portio cylindrica EDF: vt
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ſitaxis BD communis quatuor ſolidis ABC, EDF,
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AF, & reliquæ figuræ dempto ſolido ABC compre
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henſæ ſuperficie cylindrica, & circulo, vel ellipſe circa EF,
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& dimidia ſuperſicie ſphærica interiori, cuius figuræ ſoli
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dæ ponimus centrum grauitatis
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K.
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<
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> Secto igitur axe
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BD bifariam, & ſingulis eius partibus rurſus bifariam,
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ductiſque per puncta ſectionum planis quibuſdam planis
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prædictarum baſium oppoſitarum parallelis, ſecta ſint qua
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tuor prædicta ſolida, quorum, excepto propoſito reſiduo,
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ſectiones omnes erunt circuli, vel ellipſes inter ſe ſimi
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les, & in ſolido AF etiam æquales, quarum omnium
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diametri eiuſdem rationis erunt in eodem plano, in quo
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ſit parallelogrammum per axim AEFC: ſolidi autem dicti
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reſidui ſectiones, reſidua ſectionum ſolidi ABC. </
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<
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>At circa
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cõmunes
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axes inter ſe æquales ſegmenta axis BD, & inter
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eadẽ
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plana parallela, ſuper baſes ſectiones duorum ſolido
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rum ABC, EDF, cylindri, vel portiones cylindricæ con
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ſiſtant altitudine, & multitudine æquales; ita vt duarum fi
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gurarum ex ijs compofitarum altera fit cirdumſcripta ſoli</
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