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 GRA VIT. SOLID.
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          <head xml:space="preserve">THE OREMA VIII. PROPOSITIO VIII.</head>
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            <s xml:space="preserve">Cuiuslibet priſmatis, & </s>
            <s xml:space="preserve">cuiuslibet cylindri, uel
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            cylindri portionis grauitatis centrum in medio
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            ipſius axis conſiſtit.</s>
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            <s xml:space="preserve">Sit primum a f priſma æ quidiſtantibus planis contentũ,
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            quod ſolidum parallelepipedum appellatur: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">oppoſito-
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            rum planorum c f, a h, d a, f g latera bifariam diuidantur in
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            punctis k l m n o p q r s t u x: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">per diuiſiones ducantur
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            plana κ n, o r, s x. </s>
            <s xml:space="preserve">communes autem eorum planorum ſe-
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            ctiones ſint lineæ y z, θ φ, χ ψ: </s>
            <s xml:space="preserve">quæ in puncto ω conueniãt.
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            </s>
            <s xml:space="preserve">erit ex decima eiuſdem libri Archimedis parallelogrammi
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            c f centrum grauitatis punctum y; </s>
            <s xml:space="preserve">parallelogrammi a h</s>
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