Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[51.] V.
[52.] DEMONSTRATIO SECVNDAE PARTIS.
[53.] COMMENTARIVS.
[54.] DEMONSTRATIO TERTIAE PARTIS.
[55.] COMMENTARIVS.
[56.] DEMONSTRATIO QVARTAE PARTIS.
[57.] DEMONSTRATIO QVINT AE PARTIS.
[58.] FINIS LIBRORVM ARCHIMEDIS DE IIS, QVAE IN AQVA VEHVNTVR.
[59.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORV M.
[60.] CVM PRIVILEGIO IN ANNOS X. BONONIAE, Ex Officina Alexandri Benacii. M D LXV.
[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.
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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>
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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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