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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page |< < (13) of 213 > >|
DE IIS QVAE VEH. IN AQVA.
b: iunctaq; br producatur: & ſit g centrum grauitatis
reliquæ figuræ isla.
ſimiliter demonſtrabitur angulum
rok acutu eſ-
Figure: /permanent/library/4E7V2WGH/figures/0037-01 not scanned
[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, ita

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