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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ARCHIMEDIS

PROPOSITIO III.

Solidarvm magnitudinum, quæ æqualẽ
molem habentes æque graues ſunt, atque humi-
dum;
in humidum demiſſæ demergentur ita, vt
ex humidi ſuperficie nihil extet:
non tamen ad
huc deorſum ferentur.
SIT magnitudo aliqua æque grauis, atque humidum:
& ſi fieri poteſt, in humidum demiſſa extet ex ſuperficie ip
ſius:
conſiſtat autem humidum, maneatq; : & intelligatur
aliquod planum ductũ
Figure: /permanent/library/4E7V2WGH/figures/0016-01 not scanned
[Figure 6]
per cẽtrum terræ, &
hu
midi, ac per ſolidam ma
gnitudinem, ut ſit ſuper
ficiei quidem humidi ſe
ctio a b c d;
ſolidæ uero
magnitudinis inſiden-
tis e h t f;
& terræ cen-
trum k:
ſitq; ſolidæ ma-
gnitudinis pars, quæ in
humido eſt, b h t c;
&
quæ extra humidum b e f c.
intelligatur etiam ſolida figu-
ra comprehenſa pyramide, baſim quidem habente paralle
logrammum, quod eſt in ſuperficie humidi;
uerticem au-
tem centrum terræ:
ſitq; ſectio plani, in quo eſt a b c d cir-
cunferentia, &
planorum pyramidis k l, k m: & deſcriba-
tur quædam alterius ſphæræ ſuperficies x o p circa centrũ
k, in humido ſub e f h t, ut ſit ipſa x o p ſectio facta à ſuper fi
cie plani.
Sumatur præterea alia quædam pyramis æqua-
lis, &
ſimilis comprehendenti ſolidam figuram, ipſi con-

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