Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

#### Table of figures

< >
[1. Figure]
[2. Figure]
[3. Figure]
[4. Figure]
[5. Figure]
[6. Figure]
[7. Figure]
[8. Figure]
[9. Figure]
[10. Figure]
[11. Figure]
[12. Figure]
[13. Figure]
[14. Figure]
[15. Figure]
[16. Figure]
[17. Figure]
[18. Figure]
[19. Figure]
[20. Figure]
[21. Figure]
[22. Figure]
[23. Figure]
[24. Figure]
[25. Figure]
[26. Figure]
[27. Figure]
[28. Figure]
[29. Figure]
[30. Figure]
< >
page |< < of 213 > >|
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 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