Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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midum demiſſa adeo, ut baſis ipſius tota ſit in hu
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mido, & </
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<
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axis ipſius ſecũdum perpendicularem ſit, nec ma
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nebit inclinata, niſi quãdo axis cum ſuperficie hu
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midi angulum fecerit æqualem angulo ſimiliter
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ut prius, aſſumpto.</
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<
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portionis: </
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<
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">b _k_ quidem ſit dupla ipſius _k_ d; </
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æqualis ei, quæ uſque ad axem: </
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<
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">Quam uero proportionem habet portio ad humidum in
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grauitate, eam habeat exceſſus, quo quadratum b d exce-
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dit quadratum f q, ad ipſum b d quadratum: </
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q dupla. </
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<
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cedit quadratum
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b c ad quadratum
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b d, minorem ha-
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bere proportio-
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nem, quàm exceſ-
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ſus, quo quadratũ
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b d excedit qua-
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dratum f q ad b d
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quadratum. </
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nim b c exceſſus
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quo axis portiõis
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maior eſt, quã ſeſ-
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quialter eius, quæ
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uſque ad axem.
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b d magis excedit
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quadratum f q, quàm b c quadratum: </
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minor eſt, quàm b c itemq; </
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