Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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0038
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ARCHIMEDIS
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ut baſis ipſius humidum non contingat; </
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">& </
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<
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ta inclinata, non manebit inclinata, ſed recta re-
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ſtituetur.</
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<
s
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">SIT portio conoidis rectanguli, qualis dicta eſt: </
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<
s
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">de-
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miſſa in humidum, ſi fieri poteſt, non ſitrecta; </
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<
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ta: </
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<
s
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">ſecta autem ipſa plano per axem, recto ad ſuperficiem
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humidi, portionis quidem ſectio ſit rectanguli coni ſectio
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a p o l, axis portionis, & </
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<
s
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">ſectionis diameter n o; </
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<
s
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">ſuper-
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ficiei humidi ſectio ſit is. </
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<
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">ſi igitur portio non eſt recta, nõ
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faciet n o cum is angulos æquales. </
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<
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">Ducatur k ω contin-
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gens rectanguli coni ſectionem in p; </
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">æquidiſtanſq; </
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is: </
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<
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">& </
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<
s
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">à puncto p ipſi o n æquidiſtans ducatur p f. </
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">Itaque
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ſumantur centra grauitatum: </
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">& </
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<
s
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xml:space
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">ſolidi quidem a p o l cen
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trum ſit r; </
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<
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">eius autem, quod intra humidum, centrum b:
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</
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<
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">iunctaq; </
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<
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fig-0038-01
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number
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23
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0038-01
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0038-01
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ducatur ad g, ut
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g ſit centrũ graui
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tatis ſolidi, quod
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extra humidum.
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</
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<
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">Quoniam igitur
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n o ipſius quidem
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r o ſeſquialtera ẽ; </
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<
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eius autẽ, quæ uſ-
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que ad axẽ maior,
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quàm ſeſquialte-
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ra: </
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<
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<
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xlink:label
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note-0038-01a
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">10. quinti</
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rẽ eſſe, quàm quæ
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uſq; </
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<
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">A</
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quæ uſque ad axẽ
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æqualis r h: </
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<
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">o h dupla ipſius h m. </
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">quòd cū n o ipſius r o
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<
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ſeſquialtera ſit; </
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quæ r h ſeſquialtera erit. </
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