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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3713DE IIS QVAE VEH. IN AQVA. b: iunctaq; br producatur: & ſit g centrum grauitatis
reliquæ figuræ isla.
ſimiliter demonſtrabitur angulum
rok acutu eſ-
22[Figure 22] ſe:
& perpendi
culare ab r ad
k ω ductam ca
dereinter k &

o, quæ ſit rt.
ſi autem à pun
ctis g b ducan
tur ipſi r t æqui
diſtantes;
pars
quidem ſolidæ
magnitudinis,
quæ in humido eſt, ſurſum feretur ſecundum perpendicu-
larem per g ductam:
quæ autem extra humidum ſecundũ
perpendicularem per b deorſum feretur:
& non manebit
ſolidum a p o l ſic habens in humido:
ſed quod quidem
eſt ad a feretur ſurſum:
quod autem ad l deorſum, donec
p f fiat ſecundum perpendicularem.
PROPOSITIO IIII.
Recta portio conoidis rectanguli, quando
fuerit humido leuior, &
axem habuerit maiorẽ,
qnàm ſeſquialterum eius, quæ uſque ad axem:
ſi
in grauitate ad humidum æqualis molis non mi-
norem proportionem habeat ea, quàm quadra-
tũ, quod fit ab exceſſu, quo axis maior eſt, quàm
ſeſquialter eius, quæ uſque ad axẽ, habet ad qua-
dratum, quod ab axe;
demiſſa in humidum,

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