Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[11. PROPOSITIO IIII.]
[12. PROPOSITIO V.]
[13. PROPOSITIO VI.]
[14. PROPOSITIO VII.]
[15. POSITIO II.]
[16. COMMENTARIVS.]
[17. PROPOSITIO VIII.]
[18. COMMENTARIVS.]
[19. PROPOSITIO IX.]
[20. COMMENTARIVS.]
[21. ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER SECVNDVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. PROPOSITIO I.]
[22. PROPOSITIO II.]
[23. COMMENTARIVS.]
[24. PROPOSITIO III.]
[25. PROPOSITIO IIII.]
[26. COMMENTARIVS.]
[27. PROPOSITIO V.]
[28. COMMENTARIVS.]
[29. PROPOSITIO VI.]
[30. COMMENTARIVS.]
[31. LEMMAI.]
[32. LEMMA II.]
[33. LEMMA III.]
[34. LEMMA IIII.]
[35. PROPOSITIO VII.]
[36. PROPOSITIO VIII.]
[37. COMMENTARIVS.]
[38. PROPOSITIO IX.]
[39. COMMENTARIVS.]
[40. PROPOSITIO X.]
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page |< < (29) of 213 > >|
DE IIS QVAE VEH. IN AQVA.
interdũ quidem ita, ut baſis in humidum magis
Cdemergatur:
interdum uero ita, ut ſuperficiem
Dhumidi nullo modo contingat;
ſecundum pro-
Eportionem, quam habet ad humidum in grauita-
te.
Eorum quæ dicta ſunt, ſingula inferius de-
monſtrabuntur.
SIT portio qualis dicta eſt: & ſecta ipſa plano per axẽ.
recto ad ſuperficiem humidi, ſectio ſit a p o l rectanguli co
ni ſeccio:
axis portionis, & ſectionis diameter b d: ſece-
turq;
b d in puncto quidem _k_ ita, ut b k dupla ſitipſius
_k_ d:
in c uero ita, ut b d ad K C proportionẽ habeat ean-
dem, quam quindecim ad quatuor.
conſtat igitur k c ma-
Fiorem eſſe, quàm quæ uſque ad axem.
Sit ei quæ uſque ad
Gaxem æqualis k r:
& ipſius k r ſeſquialtera d s. Eſt autem
H&
s b ſeſquial-
Figure: /permanent/library/4E7V2WGH/figures/0069-01 not scanned
[Figure 43]
tera ipſius b r.
Itaque iũgatur
a b, &
per c du
catur c e per-
pẽdicularis ad
b d, quæ lineã
a b in puncto
e ſecet:
& per
e ducatur e z
æquidiſtãs b d.

Rurſus ipſa a b
bifariã in t di-
uiſa, ducatur t
h eidem b d æ-
quidiſtans:
&
intelligantur rectanguli coni ſectiones deſcriptæ a e i qui-

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