Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[41. COMMENTARIVS.]
[42. LEMMA I.]
[43. LEMMA II.]
[44. LEMMA III.]
[45. LEMMA IIII.]
[46. LEMMA V.]
[47. LEMMA VI.]
[48. II.]
[49. III.]
[50. IIII.]
[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.]
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DE CENTRO GRAVIT. SOLID.
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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:space="preserve">& </s>
            <s 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:space="preserve">reſiduæ magnitudinis compoſitæ ex par
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            te exceſſus, quæ intra coni, uel coni portionis ſuperficiem
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            continetur, centrum grauitatis erit in linea ζ e protracta,
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            atque in puncto τ. </s>
            <s xml:space="preserve">quod eſt abſurdum. </s>
            <s xml:space="preserve">cõſtat ergo centrũ
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            grauitatis coni, uel coni portionis, eſſe in axe b d: </s>
            <s xml:space="preserve">quod de
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            monſcrandum propoſuimus.</s>
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            <figure xlink:label="fig-0151-01" xlink:href="fig-0151-01a">
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            <figure xlink:label="fig-0152-01" xlink:href="fig-0152-01a">
              <image file="0152-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0152-01"/>
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          <head xml:space="preserve">THE OREMA XI. PROPOSITIO XV.</head>
          <p>
            <s xml:space="preserve">Cuiuslibet portionis ſphæræ uel ſphæroidis,
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            quæ dimidia maior non ſit: </s>
            <s xml:space="preserve">itemq́; </s>
            <s xml:space="preserve">cuiuslibet por
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            tionis conoidis, uel abſciſſæ plano ad axem recto,
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            uel non recto, centrum grauitatis in axe con-
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            ſiſtit.</s>
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          </p>
          <p>
            <s 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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            <image file="0153-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0153-01"/>
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