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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            bimus n t æqualem eſſe ψ, & </s>
            <s xml:id="echoid-s2705" xml:space="preserve">propterea ipſi gi. </s>
            <s xml:id="echoid-s2706" xml:space="preserve">& </s>
            <s xml:id="echoid-s2707" xml:space="preserve">quo-
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            niam triangulornm p φ c, n f s angulus f non eſt minor an
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            gulo φ, non erit b f maior, quam b c. </s>
            <s xml:id="echoid-s2708" xml:space="preserve">ergo neque s r mi-
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            nor, quàm c r: </s>
            <s xml:id="echoid-s2709" xml:space="preserve">neque n χ minor, quàm p y. </s>
            <s xml:id="echoid-s2710" xml:space="preserve">Sed cum p f ſit
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            maior, quàm n t:
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            </s>
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            ſitq; </s>
            <s xml:id="echoid-s2712" xml:space="preserve">p f ſeſquialte
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            ra p y: </s>
            <s xml:id="echoid-s2713" xml:space="preserve">erit n t mi-
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            nor, quàm ſeſquial
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            tera n χ: </s>
            <s xml:id="echoid-s2714" xml:space="preserve">& </s>
            <s xml:id="echoid-s2715" xml:space="preserve">idcir-
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            co n χ maior, quã
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            dupla χ t. </s>
            <s xml:id="echoid-s2716" xml:space="preserve">ſit autẽ
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            n m dupla m t: </s>
            <s xml:id="echoid-s2717" xml:space="preserve">& </s>
            <s xml:id="echoid-s2718" xml:space="preserve">
              <lb/>
            iuncta m K produ
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            catur. </s>
            <s xml:id="echoid-s2719" xml:space="preserve">conſtat igi-
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            tur ex iam dictis
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            non manere por-
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            tionem; </s>
            <s xml:id="echoid-s2720" xml:space="preserve">ſed reuol
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            ui ita, ut axis cum
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            ſuperficie humidi
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            faciat angulum an
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            gulo φ minorem.</s>
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          <head xml:id="echoid-head63" xml:space="preserve">FINIS LIBRORVM ARCHIMEDIS DE
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          IIS, QVAE IN AQVA VEHVNTVR.</head>
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