Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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ioris baſis ad quadratum minoris: centrum ſit in
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eo axis puncto, quo ita diuiditur ut pars, quæ mi
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norem baſim attingit ad alteram partem eandem
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proportionem habeat, quam dempto quadrato
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minoris baſis à duabus tertiis quadrati maioris,
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habet id, quod reliquum eſt unà cum portione à
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tertia quadrati maioris parte dempta, ad
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reliquã
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eiuſdem tertiæ portionem.</
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abcd, cuius maior baſis circulus, uel ellipſis circa diame
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trum bc, minor circa diametrum ad; & axis ef. </
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tur autem portio conoidis, à quo illud abſciſſum eſt, & pla
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no per axem ducto ſecetur; ut ſuperficiei ſectio ſit parabo
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le bgc, cuius diameter, & axis portionis gf: deinde gf diui
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datur in puncto h, ita ut gh ſit dupla hf: & rurſus ge in ean
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dem proportionem diuidatur:
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gk ipſius ke dupla. </
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ex iis, quæ proxime demonſtrauimus, conſtat centrum gra
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uitatis portionis bgc eſſe h punctum: & portionis agc
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punctum k. </
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