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

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            <s xml:id="echoid-s9097" xml:space="preserve">
              <pb o="141" file="0327" n="327" rhead=""/>
            & </s>
            <s xml:id="echoid-s9098" xml:space="preserve">perpendicularis B C minor eſt perpendiculari ex B ſuper contingentem
              <lb/>
            ad F, cum ea B C ſit ipſarum perpendicularium _MINIMA_, ergo, & </s>
            <s xml:id="echoid-s9099" xml:space="preserve">
              <note symbol="a" position="right" xlink:label="note-0327-01" xlink:href="note-0327-01a" xml:space="preserve">98. h. ad
                <lb/>
              num. 2.</note>
            _XIMA_ Parabole per G ducta iuxta Coni latus B C, erit minor _MAXIMA_
              <lb/>
            Parabola genita iuxta latus B F, & </s>
            <s xml:id="echoid-s9100" xml:space="preserve">hoc ſemper; </s>
            <s xml:id="echoid-s9101" xml:space="preserve">quapropter ipſa _MAXI_-
              <lb/>
            _MA_ Parabole, ducta per G iuxta _MINIMVM_ Coni latus B C, in his caſi-
              <lb/>
            bus, erit _MAXIMARVM MINIMA._ </s>
            <s xml:id="echoid-s9102" xml:space="preserve">Quod ſecundò erat, &</s>
            <s xml:id="echoid-s9103" xml:space="preserve">c.</s>
            <s xml:id="echoid-s9104" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9105" xml:space="preserve">Sitandem veſtigium verticis H ceciderit extra baſim Coni, vti apparet
              <lb/>
            in hac ſigura. </s>
            <s xml:id="echoid-s9106" xml:space="preserve">Ducta contingente H I, atque iuncta B I, ſi radius D I biſa-
              <lb/>
            riam ſecetur in puncto L, per quod iuxta latus B I ducatur planum Para-
              <lb/>
            bolen efficiens, quæ erit _MAXIMA._ </s>
            <s xml:id="echoid-s9107" xml:space="preserve">Dico hanc eſſe _MAXIMARVM MI_-
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            _NIMAM._</s>
            <s xml:id="echoid-s9108" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s9109" xml:space="preserve">Quoniam _MAXIMA_ per L iuxta latus B I ad _MAXIMAM_ iuxta aliud
              <lb/>
            quodcunque latus B F, eſt vt altitudo ad altitudinem, cum ipſæ
              <note symbol="b" position="right" xlink:label="note-0327-02" xlink:href="note-0327-02a" xml:space="preserve">15. pri-
                <lb/>
              mi h.</note>
            ſint æqualium baſium, ſed altitudo ad altitudinem eſt vt
              <note symbol="c" position="right" xlink:label="note-0327-03" xlink:href="note-0327-03a" xml:space="preserve">Coroll.
                <lb/>
              96. h.</note>
            ex B ſuper contingentem ad I, quæ eſt ipſa B H Coni altitudo (quæ ad
              <lb/>
            omnes rectas in plano baſis Coni ad punctum H pertingentes eſt
              <note symbol="d" position="right" xlink:label="note-0327-04" xlink:href="note-0327-04a" xml:space="preserve">99. h.</note>
              <note symbol="e" position="right" xlink:label="note-0327-05" xlink:href="note-0327-05a" xml:space="preserve">ex def. 3.
                <lb/>
              vnd. Ele.</note>
            dicularis) ad perpendicularem ex B ſuper contingentem ad F, & </s>
            <s xml:id="echoid-s9110" xml:space="preserve">perpen-
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            dicularis B H minor eſt perpendiculari ex B ſuper contingentem ad F,
              <lb/>
            cum ipſa ſit huiuſmodi perpendicularium _MINIMA,_ quare, & </s>
            <s xml:id="echoid-s9111" xml:space="preserve">
              <note symbol="f" position="right" xlink:label="note-0327-06" xlink:href="note-0327-06a" xml:space="preserve">98. h. ad
                <lb/>
              num. 3.</note>
            Parabole iuxta latus B I, iungens Coni verticem, & </s>
            <s xml:id="echoid-s9112" xml:space="preserve">contactum rectæ
              <lb/>
            lineæ H I, quæ à veſtigio H ad peripheriam baſis ducitur, mi-
              <lb/>
            nor erit _MAXIMA_ Parabola iuxta latus B F, & </s>
            <s xml:id="echoid-s9113" xml:space="preserve">hoc ſem-
              <lb/>
            per, vnde ipſa _MAXIMA_ Parabole per L iuxta la-
              <lb/>
            tus B I, erit, in hoc caſu, _MAXIMARVM MI_-
              <lb/>
            _NIMA._ </s>
            <s xml:id="echoid-s9114" xml:space="preserve">Quod vltimò faciendum erat,
              <lb/>
            quodque eſto DIVINATIO-
              <lb/>
            NIS, ac</s>
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        <div xml:id="echoid-div951" type="section" level="1" n="379">
          <head xml:id="echoid-head388" xml:space="preserve">LIBRISECVNDI
            <lb/>
          FINIS.</head>
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