Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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DE IIS QVAE VEH. IN AQVA.
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gura: </
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<
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xml:space
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">alia eadem diſponantur demonſtrabimus rurſum
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n t æqualem eſſe ipſi u i: </
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<
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">portiones a u q, a n z inter
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ſe ſe æquales.
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0099-01
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Itaque quoniã
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ĩ portionibus
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æqualibus, & </
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">ſi
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milibus a u q l,
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a n z g ductæ
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sũt a q, a z, por
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tiones æqua-
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les auferentes;
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</
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<
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">cum diametris
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portionum æ-
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quales angu-
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los cõtinebũt. </
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ergo triangulo
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rum n l s, u ω c
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anguli, qui cõ-
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ſiſtũt ad l ω pũ-
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cta, æquales ſunt: </
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<
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<
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n χ ipſi u h: </
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">quòd cum u y dupla ſit ipſius y i,
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erit n χ maior, quàm dupla χ t. </
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">Sit igitur n m ipſius m t du
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pla. </
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">Rurſus ex his manifeſtum eſt, non manere ipſam por-
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tionem; </
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humidi ſuperficiem in uno puncto contingere. </
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ceſſe eſt, ut eius baſis in humidum magis demergatur.</
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minorem proportionem, quàm quadratum f p ad quadra-
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tum b d: </
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<
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">quam proportionem habet portio ad humidũ
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in grauitate, eandem quadratum, quod fit à linea ψ habeat
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ad quadratum b d. </
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<
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">erit χ minor ipſa p f. </
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