Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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ARCHIMEDIS
ut baſis ipſius humidum non contingat; & poſi-
ta inclinata, non manebit inclinata, ſed recta re-
ſtituetur.
SIT portio conoidis rectanguli, qualis dicta eſt: & de-
miſſa in humidum, ſi fieri poteſt, non ſitrecta;
ſed inclina-
ta:
ſecta autem ipſa plano per axem, recto ad ſuperficiem
humidi, portionis quidem ſectio ſit rectanguli coni ſectio
a p o l, axis portionis, &
ſectionis diameter n o; & ſuper-
ficiei humidi ſectio ſit is.
ſi igitur portio non eſt recta, nõ
faciet n o cum is angulos æquales.
Ducatur k ω contin-
gens rectanguli coni ſectionem in p;
æquidiſtanſq; ipſi
is:
& à puncto p ipſi o n æquidiſtans ducatur p f. Itaque
ſumantur centra grauitatum:
& ſolidi quidem a p o l cen
trum ſit r;
eius autem, quod intra humidum, centrum b:
iunctaq; b r pro-
Figure: /permanent/library/4E7V2WGH/figures/0038-01 not scanned
[Figure 23]
ducatur ad g, ut
g ſit centrũ graui
tatis ſolidi, quod
extra humidum.
Quoniam igitur
n o ipſius quidem
r o ſeſquialtera ẽ;

eius autẽ, quæ uſ-
que ad axẽ maior,
quàm ſeſquialte-
ra:
patet r o maio
10. quintirẽ eſſe, quàm quæ
uſq;
ad axẽ. Sit ei,
Aquæ uſque ad axẽ
æqualis r h:
& o h dupla ipſius h m. quòd cū n o ipſius r o
Bſeſquialtera ſit;
item q; m o ipſius o h: & reliqua n m reli
19. quintiquæ r h ſeſquialtera erit.
ergo axis tanto maior eſt, quàm

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