Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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<
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">ABSCINDATVR à portione conoidis rectanguli
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a b c alia portio e b f, plano baſi æquidiſtante: </
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<
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">eadem
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portio ſecetur alio plano per axem; </
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<
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">ut ſuperficiei ſectio ſit
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parabole a b c: </
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<
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lineæ a c, e f: </
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<
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b d; </
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<
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noidis a b c ad portionem e b f duplam proportionem ha-
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bere eius, quæ eſt baſis a c ad baſim e f; </
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<
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">uel axis d b ad b g
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axem. </
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<
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">Intelligantur enim duo coni, ſeu coni portiones
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a b c, e b f, eãdem baſim, quam portiones conoidis, & </
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lem habentes altitudinem. </
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<
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">quoniam a b c portio conoi
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dis ſeſquialtera eſt coni, ſeu portionis coni a b c; </
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<
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e b f coniſeu portionis coni e b feſt ſeſquialtera, quod de-
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monſtrauit Archimedes in propoſitionibus 23, & </
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de conoidibus, & </
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">erit conoidis portio ad
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conoidis portionem, ut conus ad conum, uel ut coni por-
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tio ad coni portionem. </
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conum, uel coni portionem e b f compoſitam proportio-
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nem habet ex proportione baſis a c ad baſim e f, & </
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portione altitudinis coni, uel coni portionis a b c ad alti-
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tudinem ipſius e b f, ut nos demonſtrauimus in com men-
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tariis in undecimam propoſitionem eiuſdem libri A rchi-
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medis: </
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<
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">quod quidem in conis rectis perſpicuum eſt, in ſcalenis </
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