Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[81.] THE OREMA XII. PROPOSITIO XVI.
Page: 154
[82.] THE OREMA XIII. PROPOSITIO XVII.
Page: 155 (22)
[83.] THEOREMA XIIII. PROPOSITIO XVIII.
Page: 156
[84.] THEOREMA XV. PROPOSITIO XIX.
Page: 157 (23)
[85.] THE OREMA XVI. PROPOSITIO XX.
Page: 160
[86.] THEOREMA XVII. PROPOSITIO XXI.
Page: 164
[87.] THE OREMA XVIII. PROPOSITIO XXII.
Page: 166
[88.] THEOREMA XIX. PROPOSITIO XXIII.
Page: 171 (30)
[89.] PROBLEMA V. PROPOSITIO XXIIII.
Page: 172
[90.] THEOREMA XX. PROPOSITIO XXV.
Page: 174
[91.] THEOREMA XXI. PROPOSITIO XXVI.
Page: 180
[92.] THEOREMA XXII. PROPOSITIO XXVII.
Page: 187 (38)
[93.] PROBLEMA VI. PROPOSITIO XX VIII.
Page: 192
[94.] THE OREMA XXIII. PROPOSITIO XXIX.
Page: 194
[95.] THEOREMA XXIIII. PROPOSITIO XXX.
Page: 201 (45)
[96.] THEOREMA XXV. PROPOSITIO XXXI.
Page: 203 (46)
[97.] FINIS LIBRI DE CENTRO GRAVITATIS SOLIDORVM.
Page: 205 (47)
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              <pb o="21" file="0153" n="153" rhead="DE CENTRO GRAVIT. SOLID."/>
            diuidendo figura ſolida inſcripta ad dictam exceſſus par-
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            tem, ut τ e ad e ρ. </s>
            <s xml:id="echoid-s3837" xml:space="preserve">& </s>
            <s xml:id="echoid-s3838" xml:space="preserve">quoniam à cono, ſeu coni portione,
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            cuius grauitatis centrum eſt e, aufertur figura inſcripta,
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            cuius centrum ρ: </s>
            <s xml:id="echoid-s3839" xml:space="preserve">reſiduæ magnitudinis compoſitæ ex par
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            te exceſſus, quæ intra coni, uel coni portionis ſuperficiem
              <lb/>
            continetur, centrum grauitatis erit in linea ζ e protracta,
              <lb/>
            atque in puncto τ. </s>
            <s xml:id="echoid-s3840" xml:space="preserve">quod eſt abſurdum. </s>
            <s xml:id="echoid-s3841" xml:space="preserve">cõſtat ergo centrũ
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            grauitatis coni, uel coni portionis, eſſe in axe b d: </s>
            <s xml:id="echoid-s3842" xml:space="preserve">quod de
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            monſcrandum propoſuimus.</s>
            <s xml:id="echoid-s3843" xml:space="preserve"/>
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          <head xml:id="echoid-head87" xml:space="preserve">THE OREMA XI. PROPOSITIO XV.</head>
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            <s xml:id="echoid-s3844" xml:space="preserve">Cuiuslibet portionis ſphæræ uel ſphæroidis,
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            quæ dimidia maior non ſit: </s>
            <s xml:id="echoid-s3845" xml:space="preserve">itemq́; </s>
            <s xml:id="echoid-s3846" xml:space="preserve">cuiuslibet por
              <lb/>
            tionis conoidis, uel abſciſſæ plano ad axem recto,
              <lb/>
            uel non recto, centrum grauitatis in axe con-
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            ſiſtit.</s>
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            <s xml:id="echoid-s3848" xml:space="preserve">Demonſtratio ſimilis erit ei, quam ſupra in cono, uel co
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            ni portione attulimus, ne toties eadem fruſtra iterentur.</s>
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          <figure number="106">
            <image file="0153-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0153-01"/>
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