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

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        <div xml:id="echoid-div505" type="section" level="1" n="205">
          <head xml:id="echoid-head210" xml:space="preserve">ADDENDA LIB. I.</head>
          <p style="it">
            <s xml:id="echoid-s4984" xml:space="preserve">IN huius operis contextu, vel etiam in ipſa perſcriptione, quædam
              <lb/>
            ſunt, quæ aut mentem noſtram, aut Amanuenſis, quamuis accura-
              <lb/>
            tiſsimi, oculum effugerant: </s>
            <s xml:id="echoid-s4985" xml:space="preserve">itaque ſub calcem vniuſcuiuſque libri eadem ſic
              <lb/>
            addere liceat.</s>
            <s xml:id="echoid-s4986" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div506" type="section" level="1" n="206">
          <head xml:id="echoid-head211" xml:space="preserve">Pag. 74. ad finem Prim. Coroll.</head>
          <p>
            <s xml:id="echoid-s4987" xml:space="preserve">Quapropter huiuſmodi Parabolæ iuxta has interceptas lineas diametro B
              <lb/>
            E parallelas, ſunt ſemper inter ſe ęquidiſtantes, licet iuxta intercepta appli-
              <lb/>
            catarum ſegmenta A E, I D, L M, & </s>
            <s xml:id="echoid-s4988" xml:space="preserve">ad eaſdem partes A I, E D ſint ſem-
              <lb/>
            per ſimul accedentes, nunquam verò coeuntes.</s>
            <s xml:id="echoid-s4989" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div507" type="section" level="1" n="207">
          <head xml:id="echoid-head212" xml:space="preserve">Ad calcem Pag. 78.
            <lb/>
          COROLL. II.</head>
          <p>
            <s xml:id="echoid-s4990" xml:space="preserve">PAtet denique congruentes Hyperbolas per diuerſos vèrtices ſimul ad-
              <lb/>
            ſcriptas, & </s>
            <s xml:id="echoid-s4991" xml:space="preserve">ad eaſdem partes productas, eſſe inter ſe, & </s>
            <s xml:id="echoid-s4992" xml:space="preserve">ſimul ſemper ma-
              <lb/>
            gis accedentes, & </s>
            <s xml:id="echoid-s4993" xml:space="preserve">ſemper æquidiſtantes. </s>
            <s xml:id="echoid-s4994" xml:space="preserve">Nam iuxta intercepta applicata-
              <lb/>
            rum ſegmenta A E, S D, X Y, in præcedentibus figuris huiuſmodi Hyper-
              <lb/>
            bolæ ſemper fiunt propiores, licet nunquam ſimul conueniant; </s>
            <s xml:id="echoid-s4995" xml:space="preserve">iuxta autem
              <lb/>
            rectas B E, M D, Z Y, ad eaſdem partes A S, E D, perpetuam ſeruant ęqui-
              <lb/>
            diſtantiam, cum ipſæ B E, M D, Z Y inter ſe æquales ſint oſtenſæ, &</s>
            <s xml:id="echoid-s4996" xml:space="preserve">c.</s>
            <s xml:id="echoid-s4997" xml:space="preserve"/>
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        <div xml:id="echoid-div508" type="section" level="1" n="208">
          <head xml:id="echoid-head213" xml:space="preserve">Pag. 87. ad finem Moniti.</head>
          <p style="it">
            <s xml:id="echoid-s4998" xml:space="preserve">atque item congruentes Hyperbolæ, &</s>
            <s xml:id="echoid-s4999" xml:space="preserve">c. </s>
            <s xml:id="echoid-s5000" xml:space="preserve">prout in 2. </s>
            <s xml:id="echoid-s5001" xml:space="preserve">Coroll. </s>
            <s xml:id="echoid-s5002" xml:space="preserve">prop. </s>
            <s xml:id="echoid-s5003" xml:space="preserve">quadrageſi-
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            quartæ monuimus.</s>
            <s xml:id="echoid-s5004" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div509" type="section" level="1" n="209">
          <head xml:id="echoid-head214" xml:space="preserve">Pag. 123. poſt Prop. 77.
            <lb/>
          Aliter idem, ac Vniuerſaliùs.</head>
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            <s xml:id="echoid-s5005" xml:space="preserve">MAXIMÆ ſimiles Ellipſes, Parabolæ inſcriptę, & </s>
            <s xml:id="echoid-s5006" xml:space="preserve">à vertice
              <lb/>
            ſucceſſiuè ſe mutuò contingentes, ſunt inter ſe in ratione quadra-
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            torum, diſparium numerorum ab vnitate incipientium.</s>
            <s xml:id="echoid-s5007" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5008" xml:space="preserve">ESto Parabole A B C, cuius diameter B D, latus rectum B E, & </s>
            <s xml:id="echoid-s5009" xml:space="preserve">circa
              <lb/>
            quodlibet diametri ſegmentum B F ſit ipſi Parabolæ per verticem E
              <lb/>
            inicripta _MAXIMA_ Ellipſis B F (quę erit illa, cuius rectum latus idem
              <note symbol="*" position="right" xlink:label="note-0175-01" xlink:href="note-0175-01a" xml:space="preserve">20. h.</note>
            ac rectum B E) & </s>
            <s xml:id="echoid-s5010" xml:space="preserve">applicata ex F ad diametrum recta H F G, ſumptaque
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            F I æquali ipſi F B, ducatur diagonalis G I L, ex L applicetur L M </s>
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