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

Table of handwritten notes

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            NVM ACVMINATVM REGVLARE, vel potius (breuitatis cauſa)
              <lb/>
            ACVMINATVM, cuius terminus B vocetur VERTEX; </s>
            <s xml:id="echoid-s6329" xml:space="preserve">& </s>
            <s xml:id="echoid-s6330" xml:space="preserve">æquidiſtan-
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            tes A C, E F, G H, &</s>
            <s xml:id="echoid-s6331" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6332" xml:space="preserve">quæ à B D bifariam diuiduntur, dicantur AP-
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            PLICAT Æ ad ipſam B D, qnæ vocetur DIAMETER, vel AXIS quan-
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            do ipſa perpendiculariter ſecet eaſdem applicatas. </s>
            <s xml:id="echoid-s6333" xml:space="preserve">A C verò dicatur BA-
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            SIS ACVMINATI; </s>
            <s xml:id="echoid-s6334" xml:space="preserve">& </s>
            <s xml:id="echoid-s6335" xml:space="preserve">B I, quæ à vertice ſuper baſim ducitur perpen-
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            dicularis, ACVMINATI ALTITVDO nuncupetur.</s>
            <s xml:id="echoid-s6336" xml:space="preserve"/>
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        <div xml:id="echoid-div663" type="section" level="1" n="264">
          <head xml:id="echoid-head273" xml:space="preserve">II.</head>
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            <s xml:id="echoid-s6337" xml:space="preserve">PLANA ACVMINATA REGVLARIA PROPORTIONALIA, vel
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            tantùm ACVMINATA PROPORTIONALIA dicantur illa, quorum
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            omnes applicatæ à punctis eorum diametros proportionaliter diuidenti-
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            bus, ſint quoque inter ſe proportionales.</s>
            <s xml:id="echoid-s6338" xml:space="preserve"/>
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            <s xml:id="echoid-s6339" xml:space="preserve">Sint nempe duo Acu-
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              <figure xlink:label="fig-0226-01" xlink:href="fig-0226-01a" number="189">
                <image file="0226-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/QN4GHYBF/figures/0226-01"/>
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            minata Regularia ABC,
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            E F G, ſuper baſes A C,
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            E G, qualia in præce-
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            denti definitione expli-
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            cauimus, quorum dia-
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            metri B D, F H propor-
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            tionaliter ſectæ ſint in
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            quotcunque punctis I,
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            M; </s>
            <s xml:id="echoid-s6340" xml:space="preserve">L, N, &</s>
            <s xml:id="echoid-s6341" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6342" xml:space="preserve">ſiue ſit B I
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            ad I D, vt F M ad M H,
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            & </s>
            <s xml:id="echoid-s6343" xml:space="preserve">B L ad L D, vt F N
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            ad N H, &</s>
            <s xml:id="echoid-s6344" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6345" xml:space="preserve">atque m
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            punctis inter ſectionum
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            applicatæ ſint O P, QR;
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            </s>
            <s xml:id="echoid-s6346" xml:space="preserve">S T, V X, quę ex homo-
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            logis punctis ſint ad inuicem proportionales, hoc eſt vt A C ad E G, ita
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            O P ad S T, & </s>
            <s xml:id="echoid-s6347" xml:space="preserve">Q R ad V X, &</s>
            <s xml:id="echoid-s6348" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6349" xml:space="preserve">huiuſmodi figuræ vocentur PLANA
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            ACVMINATA REGVLARIA PROPORTIONALIA, veltantùm ACV-
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            MINATA PROPORTIONALIA.</s>
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