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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FED. COMMANDINI
compoſitam proportionem habet ex proportione baſiũ,
&
proportione altitudinum. Quare & pyramis, cuius ba-
ſis eſt quadrilaterum a b c d, &
altitudo e f ad pyramidem,
Figure: /permanent/library/4E7V2WGH/figures/0166-01 not scanned
[Figure 121]
cuius baſis quadrilaterum g h K l, &
altitudo m n, compoſi
tam habet proportionem ex proportione baſium a b c d,
g h k l, &
ex proportione altitudinum e f, m n. quod qui-
dem demonſtraſſe oportebat.
Ex iam demonſtratis perſpicuum eſt, priſma
ta omnia, &
pyramides, in quibus axes cum baſi-
bus æquales angulos continent, proportionem
habere compoſitam ex baſium proportione, &

proportione axium.
demonſttatum eſt enim, a-
xes inter ſe eandem proportionem habere, quam
ipſæ altitudines.

THE OREMA XVIII. PROPOSITIO XXII.

Cvivslibet pyramidis, & cuiuslibet coni,

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