Viviani, Vincenzo, De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei

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        <div xml:id="echoid-div138" type="section" level="1" n="80">
          <head xml:id="echoid-head85" xml:space="preserve">THEOR. XII. PROP. XXII.</head>
          <p>
            <s xml:id="echoid-s1607" xml:space="preserve">MAXIMA coni-ſectionum coni-ſectioni per verticem inſcripti-
              <lb/>
            bilium cum recto datæ ſectionis, eſt quoq; </s>
            <s xml:id="echoid-s1608" xml:space="preserve">MAXIMA ſibi ſimilium,
              <lb/>
            eidem ſectioni per verticem inſcriptarum. </s>
            <s xml:id="echoid-s1609" xml:space="preserve">Et è contra.</s>
            <s xml:id="echoid-s1610" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1611" xml:space="preserve">MINIMA coni-ſectionum coni-ſectioni per verticem circum-
              <lb/>
            ſcriptibilium cum recto datæ ſectionis, eſt quoque MINIMA ſibi
              <lb/>
            ſimilium, eidem ſectioni circumſcriptarum.</s>
            <s xml:id="echoid-s1612" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1613" xml:space="preserve">SIt quælibet coni-ſectio ABC, cuius diameter BR, rectum BF, & </s>
            <s xml:id="echoid-s1614" xml:space="preserve">regula
              <lb/>
            GFI, ipſique inſcripta ſit per verticem B, cum recto BF coni-ſectio DB
              <lb/>
            E, quæ erit _MAXIMA_ inſcriptarum (per ea quę in præcedentibus oſtenſum
              <lb/>
              <figure xlink:label="fig-0070-01" xlink:href="fig-0070-01a" number="40">
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            fuit) ſitq; </s>
            <s xml:id="echoid-s1615" xml:space="preserve">huius regula HF. </s>
            <s xml:id="echoid-s1616" xml:space="preserve">Patet has regulas infra contingentem BF in totum
              <lb/>
            eſſe inter ſe diſiunctas, cum ſit altera ſectio alteri inſcripta. </s>
            <s xml:id="echoid-s1617" xml:space="preserve">Iam dico hanc
              <lb/>
            _MAXIMAM_ ſectionem eſſe quoq; </s>
            <s xml:id="echoid-s1618" xml:space="preserve">_MAXIMAM_ ſibi ſimilium, eidem datæ ſe-
              <lb/>
            ctioni per B verticem inſcriptarum.</s>
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