Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

< >
[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.]
[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.]
< >
page |< < of 213 > >|
FED. COMMANDINI
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="86">
          <p>
            <s xml:space="preserve">
              <pb file="0166" n="166" rhead="FED. COMMANDINI"/>
            compoſitam proportionem habet ex proportione baſiũ,
              <lb/>
            & </s>
            <s xml:space="preserve">proportione altitudinum. </s>
            <s xml:space="preserve">Quare & </s>
            <s xml:space="preserve">pyramis, cuius ba-
              <lb/>
            ſis eſt quadrilaterum a b c d, & </s>
            <s xml:space="preserve">altitudo e f ad pyramidem,
              <lb/>
              <anchor type="figure" xlink:label="fig-0166-01a" xlink:href="fig-0166-01"/>
            cuius baſis quadrilaterum g h K l, & </s>
            <s xml:space="preserve">altitudo m n, compoſi
              <lb/>
            tam habet proportionem ex proportione baſium a b c d,
              <lb/>
            g h k l, & </s>
            <s xml:space="preserve">ex proportione altitudinum e f, m n. </s>
            <s xml:space="preserve">quod qui-
              <lb/>
            dem demonſtraſſe oportebat.</s>
            <s xml:space="preserve"/>
          </p>
          <div type="float" level="2" n="1">
            <figure xlink:label="fig-0165-01" xlink:href="fig-0165-01a">
              <image file="0165-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0165-01"/>
            </figure>
            <note position="right" xlink:label="note-0165-01" xlink:href="note-0165-01a" xml:space="preserve">20. huius</note>
            <figure xlink:label="fig-0166-01" xlink:href="fig-0166-01a">
              <image file="0166-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0166-01"/>
            </figure>
          </div>
          <p>
            <s xml:space="preserve">Ex iam demonſtratis perſpicuum eſt, priſma
              <lb/>
            ta omnia, & </s>
            <s xml:space="preserve">pyramides, in quibus axes cum baſi-
              <lb/>
            bus æquales angulos continent, proportionem
              <lb/>
            habere compoſitam ex baſium proportione, & </s>
            <s xml:space="preserve">
              <lb/>
            proportione axium. </s>
            <s xml:space="preserve">demonſttatum eſt enim, a-
              <lb/>
            xes inter ſe eandem proportionem habere, quam
              <lb/>
            ipſæ altitudines.</s>
            <s xml:space="preserve"/>
          </p>
        </div>
        <div type="section" level="1" n="87">
          <head xml:space="preserve">THE OREMA XVIII. PROPOSITIO XXII.</head>
          <p>
            <s xml:space="preserve">
              <emph style="sc">Cvivslibet</emph>
            pyramidis, & </s>
            <s xml:space="preserve">cuiuslibet coni,</s>
          </p>
        </div>
      </text>
    </echo>