Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

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        <div xml:id="echoid-div1081" type="section" level="1" n="648">
          <pb o="464" file="0484" n="484" rhead="GEOMETRIÆ"/>
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            <s xml:id="echoid-s11915" xml:space="preserve">rorum. </s>
            <s xml:id="echoid-s11916" xml:space="preserve">Si autem primum ſpatium ſubtrahatur à ſecundo, ſecundum
              <lb/>
            à tertio, tertium à quarto, & </s>
            <s xml:id="echoid-s11917" xml:space="preserve">ſic deinceps, habebimus hanc numero-
              <lb/>
            rum ſecundum ſerieum indic antem rationem primi ſpatij ad faſciam ſe-
              <lb/>
            quentem, & </s>
            <s xml:id="echoid-s11918" xml:space="preserve">huius ad faſciam ſequentem, & </s>
            <s xml:id="echoid-s11919" xml:space="preserve">ſic deinceps, in qua pa-
              <lb/>
            tet primum ſpatium eſſe _{1/6}_. </s>
            <s xml:id="echoid-s11920" xml:space="preserve">faſcia ſequentis, ſecundam verò faſciam
              <lb/>
            prima eſſe duplam, tertiam eiuſdem triplam, quartam quadruplam, & </s>
            <s xml:id="echoid-s11921" xml:space="preserve">
              <lb/>
            ſic deinceps, ſec undum numenorum continuum incrementum, qua in-
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            uentis ab Archimede eſſe conformia eiuſdem de ſpiralibus librum
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            perlegenti compertum fiet.</s>
            <s xml:id="echoid-s11922" xml:space="preserve"/>
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          <figure number="329">
            <image file="0484-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0484-01"/>
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        <div xml:id="echoid-div1083" type="section" level="1" n="649">
          <head xml:id="echoid-head679" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s11923" xml:space="preserve">_H_Aec libuit apponere, tum quia adhibita methodus ab Archime-
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            dea diuerſa eſt, tum etiam, vt admirabilem connexionem, &</s>
            <s xml:id="echoid-s11924" xml:space="preserve">,
              <lb/>
            vt ita dicam parabolici, ac helici ſpatij, affinitatem, talia ſpeculanti,
              <lb/>
            puto, non aſpernendam, ob oculos ponerem; </s>
            <s xml:id="echoid-s11925" xml:space="preserve">quibus, & </s>
            <s xml:id="echoid-s11926" xml:space="preserve"/>
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