Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.]
[61. ALEXANDRO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.]
[62. FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORVM. DIFFINITIONES.]
[63. PETITIONES.]
[64. THEOREMA I. PROPOSITIO I.]
[65. THEOREMA II. PROPOSITIO II.]
[66. THE OREMA III. PROPOSITIO III.]
[67. THE OREMA IIII. PROPOSITIO IIII.]
[68. ALITER.]
[69. THEOREMA V. PROPOSITIO V.]
[70. COROLLARIVM.]
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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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