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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            dris s g, t u eſſe
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              <figure xlink:label="fig-0198-01" xlink:href="fig-0198-01a" number="147">
                <image file="0198-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0198-01"/>
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            punctum υ & </s>
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            totius figuræ in
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            ſcriptæ, quæ cõ-
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            ſtat ex cylindris
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            q r, ſ g, t u eſſe φ
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            centrum. </s>
            <s xml:id="echoid-s4973" xml:space="preserve">Sunt
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            enim hi cylindri
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            æquales & </s>
            <s xml:id="echoid-s4974" xml:space="preserve">ſimi-
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            les cylindris y z,
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            K ν, θ λ, figuræ
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            circumſcriptæ.
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            </s>
            <s xml:id="echoid-s4975" xml:space="preserve">Quoniã igitur
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            ut b e ad e d, ita
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            eſt o p ad p n; </s>
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              <lb/>
            utraq; </s>
            <s xml:id="echoid-s4977" xml:space="preserve">enim u-
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            triuſque eſt du-
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            pla: </s>
            <s xml:id="echoid-s4978" xml:space="preserve">erit compo
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            nendo, ut b d ad
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            d e, ita o n ad n
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            p; </s>
            <s xml:id="echoid-s4979" xml:space="preserve">& </s>
            <s xml:id="echoid-s4980" xml:space="preserve">permutan
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            do, ut b d ad o
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            n, ita d e ad n p. </s>
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              <lb/>
            Sed b d dupla
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            eſt o n. </s>
            <s xml:id="echoid-s4982" xml:space="preserve">ergo & </s>
            <s xml:id="echoid-s4983" xml:space="preserve">
              <lb/>
            e d ipſius n p du
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            pla erit. </s>
            <s xml:id="echoid-s4984" xml:space="preserve">quòd ſi
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            e d bifariam di-
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            uidatur ĩ χ, erit
              <lb/>
            χ d, uel e χ æ-
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            qualis n p: </s>
            <s xml:id="echoid-s4985" xml:space="preserve">& </s>
            <s xml:id="echoid-s4986" xml:space="preserve">
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            ſublata e n, quæ
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            eſt cõmunis u-
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            trique e χ, p </s>
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