Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.
[41.] COMMENTARIVS.
[42.] LEMMA I.
[43.] LEMMA II.
[44.] LEMMA III.
[45.] LEMMA IIII.
[46.] LEMMA V.
[47.] LEMMA VI.
[48.] II.
[49.] III.
[50.] IIII.
[51.] V.
[52.] DEMONSTRATIO SECVNDAE PARTIS.
[53.] COMMENTARIVS.
[54.] DEMONSTRATIO TERTIAE PARTIS.
[55.] COMMENTARIVS.
[56.] DEMONSTRATIO QVARTAE PARTIS.
[57.] DEMONSTRATIO QVINT AE PARTIS.
[58.] FINIS LIBRORVM ARCHIMEDIS DE IIS, QVAE IN AQVA VEHVNTVR.
[59.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORV M.
[60.] CVM PRIVILEGIO IN ANNOS X. BONONIAE, Ex Officina Alexandri Benacii. M D LXV.
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16ARCHIMEDIS
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
6[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

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