Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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Dico eas proportionales eſſe in proportione, quæ eſt la
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teris ab adlatus de, ita ut earum maior ſit abce, me
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dia adce, & minor defc. </
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">Quoniam enim lineæ de,
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ab æquidiſtant; & inter ipſas ſunt triangula abe, ade;
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erit triangulum abe
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ad triangulum abe,
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ut linea ab ad lineam
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de. </
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lum abe ad triangu
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lum abe, ita pyramis
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abec ad pyramidem
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adec: habent enim
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altitudinem eandem,
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quæ eſtà puncto cad
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planum, in quo qua
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drilaterum abed. </
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go ut ab ad de, ita pyramis abec ad pyramidem adec. </
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ratione pyramis adce ad pyramidem cdfe, ut ac ad
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df. </
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">Sed ut ac ad df, ita ab ad de, quoniam triangula
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abc, def ſimilia ſunt, ex nona huius. </
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abce ad pyramidem abce, ita pyramis adce ad ipſam
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defc. fruſtum igitur abcdef diuiditur in tres pyramides
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proportionales in ea proportione, quæ eſt lateris ab ad de
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latus, & earum maior eſt cabe, media adce, & minor
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defc. quod demonſtrare oportebat.</
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1. ſexti.</
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5. duodeci
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mi.</
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11. quinti.</
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4 ſexti.</
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<
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<
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">QVODLIBET fruſtum pyramidis, uel coni,
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uel coni portionis, plano baſi æquidiſtanti ita ſe
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care, ut ſectio ſit proportionalis inter maiorem,
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& minorem baſim.</
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