Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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FED. COMMANDINI
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partes d. </
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">in pyramide igitur inſcripta erit quædam figura,
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ex priſinatibus æqualem altitudinem habentibus cóſtans,
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ad partes e: </
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xml:space
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<
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xml:space
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">altera circumſcripta ad partes d. </
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<
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xml:space
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">Sed unum-
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quodque eorum priſmatum, quæ in figura inſcripta conti-
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nentur, æquale eſt priſmati, quod ab eodem fit triangulo in
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figura circumſcripta: </
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<
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">nam priſma p q priſmati p o eſt æ-
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quale; </
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<
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">priſma s t æquale priſmati s r; </
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<
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xml:space
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">priſma x y priſmati
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x u; </
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<
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xml:space
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">priſma η θ priſinati η z; </
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<
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">priſina μ ν priſmati μ λ; </
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<
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ma ρ σ priſmati ρ π; </
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<
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xml:space
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">& </
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<
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">priſma φ χ priſinati φ τ æquale. </
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<
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">re-
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linquitur ergo, ut circumſcripta figura exuperet inſcriptã
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priſmate, quod baſim habet a b c triangulum, & </
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<
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</
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<
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ratione inſcribetur, & </
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<
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">circumſcribetur ſolida figura in py-
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ramide, quæ quadrilateram, uel plurilaterã baſim habeat.</
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<
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">PROBLEMA II. PROPOSITIO XI.</
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<
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cono, fieri poteſt, ut figura ſolida in-
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ſcribatur, & </
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æqualem habentibus altitudinem, ita ut circum-
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ſcripta ſuperet inſcriptam, magnitudine, quæ ſo-
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lida magnitudine propoſita ſit minor.</
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<
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">SIT conus, cuius axis b d: </
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<
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ducto, ut ſectio ſit triangulum a b c: </
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<
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drus, qui baſim eandem, & </
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<
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">eundem axem habeat. </
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<
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tur cylindro continenter bifariam ſecto, relinquetur cylin
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drus minor ſolida magnitudine propoſita. </
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<
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lindrus, qui baſim habet circulum circa diametrum a c, & </
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axem d e. </
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">Itaque diuidatur b d in partes æquales ipſi d e
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in punctis f g h _K_lm: </
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<
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cantia; </
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<
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">quæ baſi æquidiſtent. </
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<
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">erunt ſectiones circuli, cen-
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tra in axi habentes, ut in primo libro conicorum, </
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