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

Table of handwritten notes

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            per M applicetur recta N M O, quæ applicatæ E G F æquidiſtabit.</s>
            <s xml:id="echoid-s6640" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s6641" xml:space="preserve">Iam, in prima figura, cum ſit B D parallela ad I M, & </s>
            <s xml:id="echoid-s6642" xml:space="preserve">B I ad D M, erit
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            diametri ſegmentum B D æquale diametri ſegmento I M; </s>
            <s xml:id="echoid-s6643" xml:space="preserve">ſuntque ex D, M
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            applicatæ diametris rectæ A D C, N M O, vnde portiones A B C, N I O
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            æquales erunt.</s>
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          <note symbol="a" position="right" xml:space="preserve">40. h.</note>
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            <image file="0239-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/QN4GHYBF/figures/0239-01"/>
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            <s xml:id="echoid-s6645" xml:space="preserve">In reliquis verò, cum in triangulo D H M ſit B I parallela ad D M, erit
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            H B ad B D, vt H I ad I M, ſuntque ex D, M applicatæ diametris rectæ
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            A D C, N M O, quare portiones A B C, N I O æquales erunt. </s>
            <s xml:id="echoid-s6646" xml:space="preserve">Cum
              <note symbol="b" position="right" xlink:label="note-0239-02" xlink:href="note-0239-02a" xml:space="preserve">ibidem.</note>
            go in ſingulis figuris portio A B C demonſtrata ſit æqualis portioni N I O,
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            & </s>
            <s xml:id="echoid-s6647" xml:space="preserve">ſit portio N I O minor portione E I F, pars toto, ergo portio A B C erit
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            quoque minor portione E I F, & </s>
            <s xml:id="echoid-s6648" xml:space="preserve">ſic quacunque alia portione, ab applicata
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            per D abſciſſa, minor demonſtrabitur. </s>
            <s xml:id="echoid-s6649" xml:space="preserve">Vnde portio A B C eſt _MINIMA_
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            quæſita. </s>
            <s xml:id="echoid-s6650" xml:space="preserve">Quod faciendum erat.</s>
            <s xml:id="echoid-s6651" xml:space="preserve"/>
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        <div xml:id="echoid-div694" type="section" level="1" n="277">
          <head xml:id="echoid-head286" xml:space="preserve">COROLL.</head>
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            <s xml:id="echoid-s6652" xml:space="preserve">HInc eſt, quod dum per datum punctum D intra Ellipſim, ducitur appli-
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            cata A D C _MINIMAM_ portionem abſcindes, habetur ſimul _MA_-
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            _XIMA_ portio, quæ eſt reliqua A P C, vt per ſe ſatis conſtat.</s>
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