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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            cum adhuc Cardinalis eſſet, mihi, quæ ſua erat hu-
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            manitas, libros eiuſdem Archimedis de ijs, quæ ve-
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            huntur in aqua, latine redditos dono dedit. </s>
            <s xml:space="preserve">hos cum
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            ego, ut aliorum ſtudia incitarem, emendãdos, & </s>
            <s xml:space="preserve">cõ-
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            mentariis illuſtrandos ſuſcepiſſem, animaduerti dubi
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            tari non poſſe, quin Archimedes vel de hac materia
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            ſcripſiſſet, vel aliorum mathematicorum ſcripta per-
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            legiſſet. </s>
            <s xml:space="preserve">nam in iis tum alia nonnulla, tum maxime
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            illam propoſitionem, ut euidentem, & </s>
            <s xml:space="preserve">aliàs proba-
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            tam aſſumit, Centrũ grauitatis in portionibus conoi
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            dis rectan guli axem ita diuidere, vt pars, quæ ad verti
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            cem terminatur, alterius partis, quæ ad baſim dupla
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            ſit. </s>
            <s xml:space="preserve">Verum hæc ad eam partem mathematicarum
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            diſciplinarum præcipue refertur, in qua de centro
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            grauitatis corporum ſolidorum tractatur. </s>
            <s xml:space="preserve">non eſt au
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            tem conſentaneum Archimedem illum admirabilem
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            virum hanc propoſitionem ſibi argumentis con-
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            firmandam exiſtimaturum non fuiſſe, niſi eam vel
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            aliis in locis probauiſſet, vel ab aliis probatam eſſe
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            comperiſſet. </s>
            <s xml:space="preserve">quamobrem nequid in iis libris intel-
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            ligendis deſiderari poſſet, ſtatui hanc etiam partem
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            vel à veteribus prætermiſſam, vel tractatam quidem,
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            ſed in tenebris iacentem, non intactam relinquere;
              <lb/>
            </s>
            <s xml:space="preserve">atque ex aſsidua mathematicorum, præſertim Archi-
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            medis lectione, quæ mihi in mentem venerunt, ea in
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            medium afferre; </s>
            <s xml:space="preserve">ut centri grauitatis corporum ſoli-
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            dorum, ſi non perfectam, at certe aliquam noti-</s>
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