Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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qr, eodem, quo ſupra, modo oſtendemus fg ad pq, ut fh
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ad pr. </
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<
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& ut fg axis ad axem pq.</
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"> ex quibus ſit, ut pyramis abcdf
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ad
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pyrami-dẽ
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dem</
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klmnp
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eandem ha
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beat pro
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portionẽ,
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quã
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axis ad
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axẽ
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. </
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demonſtrã
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dũ
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ſuerat.</
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tione in a
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liis priſma
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tibus & py
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ramidibus eadem demonſtrabuntur.</
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">THEOREMA XVII. PROPOSITIO XXI.</
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">Priſmata omnia, & pyramides inter ſe propor
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tionem habent compoſitam ex proportione ba
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ſium, & proportione altitudinum.</
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<
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">Sint duo priſmata ae, gm:
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ſitq;
">ſitque</
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priſmatis ae baſis qua
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drilaterum abcd, & altitudo ef: priſmatis uero gm ba
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ſis quadrilaterum ghKl, & altitudo mn. </
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">Dico priſma ae
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ad priſma gm proportionem habere compoſitam ex pro
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portione baſis abcd ad baſim ghkl, & ex proportione
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altitudinis ef, ad altitudinem mn.</
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<
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">Sint enim primum ef, mn æquales: & ut baſis abcd
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ad baſim ghkl, ita fiat linea, in qua o ad lineam, in qua p:
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ut autem ef ad mn, ita linea p ad lineam q.</
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<
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"> erunt lineæ
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pq inter ſe æquales. </
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<
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">Itaque priſma ae ad priſma gm
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eã
">eam</
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</
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