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

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              <pb o="195" file="0215" n="215" rhead="LIBER II."/>
            ſct Icoſaedrum, AC, &</s>
            <s xml:id="echoid-s4834" xml:space="preserve">, AB, recta linea ipſius latere minor, non diſ-
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            ſimiliter, ac in cubis inuenta eſſent Icoſaedra, AD, DB, quorum diffe-
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            rentia eſſet æqualis dato Icoſaedro, AC, nec non eorumdem laterum bo-
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            mologorum differentia æqualis datæ rectæ lineæ, AB. </s>
            <s xml:id="echoid-s4835" xml:space="preserve">Sic etiam datæ
              <lb/>
            Sphæræ Orbem datæ craſſitici, minoris tamen illius ſemidiametro, æqua-
              <lb/>
            lem poſſibile erit inuenire. </s>
            <s xml:id="echoid-s4836" xml:space="preserve">Vniuerſaliſſimè autem dato quocumq. </s>
            <s xml:id="echoid-s4837" xml:space="preserve">ſolido,
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            duorum ipſi dato ſimilium differentiam æqualem poſſibile erit inuenire,
              <lb/>
            quorum pariter linearum, ſeu laterum bomologorum differentia ſit da-
              <lb/>
            ta, dummodo ea ſit minor linea, ſeu latere propoſiti ſolidi prædictis
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            bomologo, quodex ſuperius dictis facilè conſiare poteſt.</s>
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        <div xml:id="echoid-div492" type="section" level="1" n="297">
          <head xml:id="echoid-head313" xml:space="preserve">SCHOLIVM.</head>
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            <s xml:id="echoid-s4839" xml:space="preserve">NOnnulla autem ex præfatis proximis Propoſitionibus etiam ab
              <lb/>
            alijs oſtenſæ fuerunt, ſed ne Lectori ad alios Libros pro barum
              <lb/>
            captu eſſet recurrendum, bic eas adiungere placuit, pręcipuè cum ea-
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            rum adductę demonſtrationes abaliorum Auctorum rationibus, ni fal-
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            lor, non parum ſint differentes, cum ferè omnes ex vnica Propoſ. </s>
            <s xml:id="echoid-s4840" xml:space="preserve">35.
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            </s>
            <s xml:id="echoid-s4841" xml:space="preserve">via ſatis compendioſa deductæ ſint; </s>
            <s xml:id="echoid-s4842" xml:space="preserve">qued olim me circa Propoſitiones
              <lb/>
            Secundi Elem. </s>
            <s xml:id="echoid-s4843" xml:space="preserve">à prima nempè vſq; </s>
            <s xml:id="echoid-s4844" xml:space="preserve">ad 10. </s>
            <s xml:id="echoid-s4845" xml:space="preserve">præſtitiſſe memini, eas omnes
              <lb/>
            ex prima compendioſiſſimè demonſtrando, vt etiam poſtmodum, & </s>
            <s xml:id="echoid-s4846" xml:space="preserve">Pa-
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            trem Clauium feciſſe animaduerti.</s>
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        <div xml:id="echoid-div493" type="section" level="1" n="298">
          <head xml:id="echoid-head314" xml:space="preserve">Finis Secundi Libri.</head>
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            <image file="0215-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0215-01"/>
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