Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

< >
[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.]
[71. THEOREMA VI. PROPOSITIO VI.]
[72. THE OREMA VII. PROPOSITIO VII.]
[73. THE OREMA VIII. PROPOSITIO VIII.]
[74. THE OREMA IX. PROPOSITIO IX.]
[75. PROBLEMA I. PROPOSITIO X.]
[76. PROBLEMA II. PROPOSITIO XI.]
[77. PROBLEMA III. PROPOSITIO XII.]
[78. PROBLEMA IIII. PROPOSITIO XIII.]
[79. THEOREMA X. PROPOSITIO XIIII.]
[80. THE OREMA XI. PROPOSITIO XV.]
[81. THE OREMA XII. PROPOSITIO XVI.]
[82. THE OREMA XIII. PROPOSITIO XVII.]
[83. THEOREMA XIIII. PROPOSITIO XVIII.]
[84. THEOREMA XV. PROPOSITIO XIX.]
[85. THE OREMA XVI. PROPOSITIO XX.]
[86. THEOREMA XVII. PROPOSITIO XXI.]
[87. THE OREMA XVIII. PROPOSITIO XXII.]
[88. THEOREMA XIX. PROPOSITIO XXIII.]
[89. PROBLEMA V. PROPOSITIO XXIIII.]
[90. THEOREMA XX. PROPOSITIO XXV.]
< >
page |< < of 213 > >|
FED. COMMANDINI

THE OREMA XII. PROPOSITIO XVI.

In ſphæra, & ſphæroide idem eſt grauitatis, &
figuræ centrum.
Secetur ſphæra, uel ſphæroid[...]no per axem ducto;
quod ſectionem faciat circulum, [...]ellipſim a b c d, cuius
diameter, &
ſphæræ, uelſphæroidis axis d b; & centrume.
Dico e grauitatis etiam centrum eſſe.
ſecetur enim altero
plano per e, ad planum ſecans recto, cuius fectio ſit circu-
lus circa diametrum a c.
erunt a d c, a b c dimidiæ portio-
nes ſphæræ, uel fphæroidis.
& quoniam portionis a d c gra
uitatis centrum eſt in linea d, &
centrum portionis a b c in
ipſa b e;
totius ſphæræ, uel ſphæroidis grauitatis centrum
in axe d b conſiſtet.
Quòd ſi portionis a d c centrum graui
tatis ponatur eſſe f.
& fiat ipſi f e æqualis e g: punctũ g por
Figure: /permanent/library/4E7V2WGH/figures/0154-01 not scanned
[Figure 107]
tionis a b c centrum erit.
ſolidis enim figuris ſimilibus &
per 2. pe-
titionem
æqualibus inter ſe aptatis, &
centra grauitatis ipſarum in-
ter fe aptentur neceſſe eſt.
ex quo fit, ut magnitudinis, quæ
4 Arch-
medis.
ex utriſque cõſtat, hoc eſt ipſius ſphæræ, uel ſphæroidis gra
uitatis centrum ſitin medio lineæ f g, uidelicet in e.
Sphæ-
ræ igitur, uel ſphæroidis grauitatis centrum eſtidem, quod
centrum figuræ.

Text layer

  • Dictionary

Text normalization

  • Original

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index