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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FEDERICI COMMANDINI
VRBINATIS LIBER DE CENTRO
GRAVITATIS SOLIDORVM.
DIFFINITIONES.

CEntrvm grauitatis, Pappus
Alexandrinus in octauo ma-
thematicarum collectionum
libro ita diffiniuit.
λέγομεν δἐ κἐντρον βάρους ἑκά στου σἀ
ματος {εἶ}ναι σημ\~ειον τικείμενον ἑντὸς, ἀφ
οὖ κα\’τ ἐποίνιαν ἀρτηθέν τό βάρος ἡμερ{εἶ}
φερόμενον, καὶ φυλὰσσει τήν ἐξἀρχ\~νςθἐ-
σιν, οὐ μὴ περιτρεπ ὸμενον ἐντῆ φορᾶ.
hoc eſt,
Dicimus autem centrum grauitatis uniuſcu-
inſque corporis punctum quoddam intra poſi-
cum, à quo ſi graue appenſum mente concipia-
tur, dum fertur quieſcit;
& ſeruat eam, quam in
principio habebat poſitionem:
neque in ipſa la-
tione circumuertitur.
Poſſumus etiam hoc modo diffinire.
Centrum grauitatis uniuſcuiuſque ſolidæ figu
ræ eſt punctum illud intra poſitum, circa quod
undique partes æqualium momentorum conſi-
ſtunt.
ſi enim per tale centrum ducatur planum
figuram quomodocunque ſecans ſemper in par-

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