Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.
[91.] THEOREMA XXI. PROPOSITIO XXVI.
[92.] THEOREMA XXII. PROPOSITIO XXVII.
[93.] PROBLEMA VI. PROPOSITIO XX VIII.
[94.] THE OREMA XXIII. PROPOSITIO XXIX.
[95.] THEOREMA XXIIII. PROPOSITIO XXX.
[96.] THEOREMA XXV. PROPOSITIO XXXI.
[97.] FINIS LIBRI DE CENTRO GRAVITATIS SOLIDORVM.
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            quadratum b d; </s>
            <s xml:id="echoid-s2156" xml:space="preserve">in humidum demiſſa, & </s>
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            ta inclinata adeo, ut baſis ipſius non contingat
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            humidum; </s>
            <s xml:id="echoid-s2158" xml:space="preserve">conſiſtet inclinata, ita ut baſis in uno
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            puncto humidi ſuperficiem contingat: </s>
            <s xml:id="echoid-s2159" xml:space="preserve">& </s>
            <s xml:id="echoid-s2160" xml:space="preserve">axis cũ
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            ea faciat angulum angulo φ æqualem.</s>
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          <head xml:id="echoid-head55" xml:space="preserve">IIII.</head>
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            <s xml:id="echoid-s2162" xml:space="preserve">Si portio ad humidum in grauitate maiorem
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            quidem proportionem habeat, quàm quadra-
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            tum f p ad quadratum b d; </s>
            <s xml:id="echoid-s2163" xml:space="preserve">minorem uero,
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            quàm quadratum x o ad b d quadratum; </s>
            <s xml:id="echoid-s2164" xml:space="preserve">in hu-
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            midum demiſſa, & </s>
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            non contingat humidum conſiſtet, & </s>
            <s xml:id="echoid-s2166" xml:space="preserve">manebit
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            ita, ut baſis in humidum magis demergatur.</s>
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          <head xml:id="echoid-head56" xml:space="preserve">V.</head>
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            <s xml:id="echoid-s2168" xml:space="preserve">Si portio ad humidum in grauitate proportio
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            nem habeat minorem, quàm quadratum f p ad
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            quadratum b d: </s>
            <s xml:id="echoid-s2169" xml:space="preserve">demiſſa in humidum, & </s>
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            inclinata adeo ut baſis ipſius non contingat humi
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            dum: </s>
            <s xml:id="echoid-s2171" xml:space="preserve">conſiſtet inclinata, ita ut axis ipſius cum
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            humidi ſuperficie angulum faciat minorem an-
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            gulo φ: </s>
            <s xml:id="echoid-s2172" xml:space="preserve">& </s>
            <s xml:id="echoid-s2173" xml:space="preserve">baſis nullo modo ſuperficiem humi-
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            di contingat. </s>
            <s xml:id="echoid-s2174" xml:space="preserve">Hæc autem omnia deinceps de-
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            monſtrabuntur.</s>
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