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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            compoſitam proportionem habet ex proportione baſiũ,
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            & </s>
            <s xml:id="echoid-s4121" xml:space="preserve">proportione altitudinum. </s>
            <s xml:id="echoid-s4122" xml:space="preserve">Quare & </s>
            <s xml:id="echoid-s4123" xml:space="preserve">pyramis, cuius ba-
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            ſis eſt quadrilaterum a b c d, & </s>
            <s xml:id="echoid-s4124" xml:space="preserve">altitudo e f ad pyramidem,
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            cuius baſis quadrilaterum g h K l, & </s>
            <s xml:id="echoid-s4125" xml:space="preserve">altitudo m n, compoſi
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            tam habet proportionem ex proportione baſium a b c d,
              <lb/>
            g h k l, & </s>
            <s xml:id="echoid-s4126" xml:space="preserve">ex proportione altitudinum e f, m n. </s>
            <s xml:id="echoid-s4127" xml:space="preserve">quod qui-
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            dem demonſtraſſe oportebat.</s>
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            <s xml:id="echoid-s4129" xml:space="preserve">Ex iam demonſtratis perſpicuum eſt, priſma
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            ta omnia, & </s>
            <s xml:id="echoid-s4130" xml:space="preserve">pyramides, in quibus axes cum baſi-
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            bus æquales angulos continent, proportionem
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            habere compoſitam ex baſium proportione, & </s>
            <s xml:id="echoid-s4131" xml:space="preserve">
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            proportione axium. </s>
            <s xml:id="echoid-s4132" xml:space="preserve">demonſttatum eſt enim, a-
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            xes inter ſe eandem proportionem habere, quam
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            ipſæ altitudines.</s>
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          <head xml:id="echoid-head94" xml:space="preserve">THE OREMA XVIII. PROPOSITIO XXII.</head>
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              <emph style="sc">Cvivslibet</emph>
            pyramidis, & </s>
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