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

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          <head xml:id="echoid-head554" xml:space="preserve">GEOMETRIÆ</head>
          <head xml:id="echoid-head555" xml:space="preserve">CAVALERII.</head>
          <head xml:id="echoid-head556" xml:space="preserve">LIBER QVINTVS.</head>
          <head xml:id="echoid-head557" style="it" xml:space="preserve">In quo de Hyperbola, Oppoſitis Sectionib us,
            <lb/>
          ac ſolidis ab eiſdem genitis, babetur
            <lb/>
          contemplatio.</head>
          <head xml:id="echoid-head558" xml:space="preserve">THEOREMA I. PROPOS. I.</head>
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            <s xml:id="echoid-s9235" xml:space="preserve">OMNIA quadrata Hyperbol@, regu-
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            la ſumpta baſi ſcilicet vna ex ordi-
              <lb/>
            natim applicatis ad axim, vel diame-
              <lb/>
            trum eiuſdem, ad omnia quadrata
              <lb/>
            parallelogrammi in eadem baſi, & </s>
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            altitudine cum ipſa, erunt vt linea
              <lb/>
            compoſita ex dimidia tranſuerſi la-
              <lb/>
            teris hyperbolæ, & </s>
            <s xml:id="echoid-s9237" xml:space="preserve">diametri, vel
              <lb/>
            axis eiuſdem, ad compoſita n ex tranſucrſo latere, & </s>
            <s xml:id="echoid-s9238" xml:space="preserve">axi,
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            vel dia netro eiuſdem: </s>
            <s xml:id="echoid-s9239" xml:space="preserve">Eade n verò ad omnia quadrata
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            trianguli in eadem baſi, & </s>
            <s xml:id="echoid-s9240" xml:space="preserve">altitudine cum ipſa erunt, vt cõ-
              <lb/>
            poſit@ ex ſexquialtera tranſuerſi lateris, & </s>
            <s xml:id="echoid-s9241" xml:space="preserve">axi, vel diame-
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            tro eiuſdem, ad compoſitam ex tranſuerſo latere, & </s>
            <s xml:id="echoid-s9242" xml:space="preserve">axi,
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            vel diametro eiuſdem.</s>
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