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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            tibi, qui iam in iis multam operam, multumq́; </s>
            <s xml:space="preserve">ſtu-
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            dium poſuiſti, cogitandum relinquo. </s>
            <s xml:space="preserve">nonnulla præ-
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            terea Archimedes vt perſpicua in his tractandis po-
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            nere non dubitauit, quæ veteres mathematici, qui
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            de conicis conſcripſerunt, plurimis, & </s>
            <s xml:space="preserve">firmiſsimis
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            argumentis probauerũt. </s>
            <s xml:space="preserve">Hæc autem idcirco à nobis
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            omnino ignorantur; </s>
            <s xml:space="preserve">quòd poſtremi quatuor libri
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            conicorum Apollonii Pergæi adhuc in tenebris de-
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            liteſcunt. </s>
            <s xml:space="preserve">Qua quidem in re (vt mea fert opinio)
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            ſingulari fato fuerunt mathematicæ diſciplinæ, cum
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            tot ſcriptorum præclara monumenta interierint, per
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            quæ non ſolum in ſtudioſos homines, uerum etiam
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            in humanũ genus mirabiles utilitates importatæ fuiſ-
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            ſent. </s>
            <s xml:space="preserve">nam cum mecum conſidero quàm late pateant
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            hæ nobiliſsimæ ſcientiæ, quãtopere rebus publicis & </s>
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            priuatis admirabili quadã ratione, atque ordine gu-
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            bernandis neceſſariæ ſint, dubitãdum non exiſtimo,
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            quin magna ſit habenda gratia huius diuini boni au-
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            ctoribus, & </s>
            <s xml:space="preserve">inuentoribus: </s>
            <s xml:space="preserve">ueterumq́; </s>
            <s xml:space="preserve">græcorum pru
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            dentiam ſatis admirari non poſſum, qui pueros cum
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            primum fari cœpiſſent, his diſciplinis imbuendos cu
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            rabant, ut à prima ætate multiplicis, ac ſubtilis ſcien-
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            tiæ contemplationi aſſueti nihil paruum, aut humile
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            cogitarent: </s>
            <s xml:space="preserve">ſed uel ſe totos ijs artibus traderent, qua-
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            rum ope ciuitatibus ſuis & </s>
            <s xml:space="preserve">præſidio, & </s>
            <s xml:space="preserve">ornamento
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            eſſe poſſent: </s>
            <s xml:space="preserve">uel humanis ſtudijs multam ſalutem di-
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            centes, diuinam philoſophiam toto animo amplexa-
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            rentur, cum ad eam per mathematicas diſciplinas fa-</s>
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