Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.]
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DE CENTRO GRAVIT. SOLID.
Ex demonſtratis perſpicue apparet, portioni
ſphæræ uel ſphæroidis, quæ dimidia maior eſt, cẽ
trum grauitatis in axe conſiſtere.
Data enim
Figure: /permanent/library/4E7V2WGH/figures/0155-01 not scanned
[Figure 108]
qualibet maio
ri portiõe, quo
niã totius ſphæ
ræ, uel ſphæroi
dis grauitatis
centrum eſt in
axe;
eſt autem
&
in axe cen-
trum portio-
nis minoris:
reliquæ portionis uidelicet maioris centrum in axe neceſ-
ſario conſiſtet.

THE OREMA XIII. PROPOSITIO XVII.

Cuiuslibet pyramidis triã
Figure: /permanent/library/4E7V2WGH/figures/0155-02 not scanned
[Figure 109]
gularem baſim habẽtis gra
uitatis centrum eſt in pun-
cto, in quo ipſius axes con-
ueniunt.
Sit pyramis, cuius baſis trian
gulum a b c, axis d e:
ſitq; trian
guli b d c grauitatis centrum f:
& iungatur a f. erit & a faxis eiuſ
dem pyramidis ex tertia diffini-
tione huius.
Itaque quoniam centrum grauitatis eſt in
axe d e;
eſt autem & in axe a f; quod proxime demonſtraui

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