Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica

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            <s xml:id="echoid-s21" xml:space="preserve">
              <pb file="0013" n="13" rhead="PRÆFATIO."/>
            ne, quàm cum eandem in Hyperboles portioni-
              <lb/>
            bus obſervaſſem, illudque inveniſſem de quo
              <lb/>
            tantus Vir non potuit non & </s>
            <s xml:id="echoid-s22" xml:space="preserve">ipſe cogitaſſe. </s>
            <s xml:id="echoid-s23" xml:space="preserve">Ra-
              <lb/>
            ros alioqui ſemper hæc figura, ſi cum Circulo
              <lb/>
            conferatur, ſui contemplatores nacta eſt; </s>
            <s xml:id="echoid-s24" xml:space="preserve">ejuſ-
              <lb/>
            que rei vel effectum vel indicium habemus, quod
              <lb/>
            cum varia ſint inſpecta quibus datis Quadratu-
              <lb/>
            ram quoque Circuli dari neceſſe ſit; </s>
            <s xml:id="echoid-s25" xml:space="preserve">cujuſmodi
              <lb/>
            ſunt exacta perimetri longitudo, Helicis Archi-
              <lb/>
            medeæ contingens, Quadratricis Dinoſtrati ter-
              <lb/>
            minus, vel tangens quoque ejuſdem Quadratri-
              <lb/>
            cis ad terminum alterum, (ſicut aliquando me
              <lb/>
            demonſtraſſe memini) & </s>
            <s xml:id="echoid-s26" xml:space="preserve">alia nonnulla quæ recen-
              <lb/>
            tioribus debentur; </s>
            <s xml:id="echoid-s27" xml:space="preserve">nihil interea à quoquam de-
              <lb/>
            finitum extet, quo vel ſub ulla conditione Hy-
              <lb/>
            perbole cum ſpatio rectis comprehenſo lineis
              <lb/>
            comparari poſſit. </s>
            <s xml:id="echoid-s28" xml:space="preserve">Noſtrâ ſanè ætate, pauciſque
              <lb/>
            abhinc annis Vir Clariſſ. </s>
            <s xml:id="echoid-s29" xml:space="preserve">D. </s>
            <s xml:id="echoid-s30" xml:space="preserve">Gregorius à S. </s>
            <s xml:id="echoid-s31" xml:space="preserve">Vin-
              <lb/>
            centio, de quo mihi deinceps dicendum reſtat,
              <lb/>
            exquiſitâ prorſus novâque methodo utramque
              <lb/>
            Quadraturam aggreſſus eſt, & </s>
            <s xml:id="echoid-s32" xml:space="preserve">credidit eâdem
              <lb/>
            ſe propemodum demonſtratione abſolviſſe. </s>
            <s xml:id="echoid-s33" xml:space="preserve">At
              <lb/>
            ego cum ampliſſima quæ de hiſce volumina emi-
              <lb/>
            ſit, perſcriptis jam Theorematis meis, diligentius
              <lb/>
            evolverem, (certus, ſi quod intenderat obtineret,
              <lb/>
            ſaltem gravitatis me centra exhibiturum,) in-
              <lb/>
            tellexi tandem, majori ſubtilitate quàm ſucceſ-
              <lb/>
            ſu rem arduam tentatam fuiſſe, ratione quoque
              <lb/>
            repertâ quâ id clariſſime oſtendi poſſe confido.</s>
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