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

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          <p>
            <s xml:id="echoid-s915" xml:space="preserve">
              <pb o="345" file="0053" n="57" rhead="EPISTOLA."/>
            lib. </s>
            <s xml:id="echoid-s916" xml:space="preserve">8. </s>
            <s xml:id="echoid-s917" xml:space="preserve">qui totus eſt de Proportionalitatibus.</s>
            <s xml:id="echoid-s918" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s919" xml:space="preserve">Porro ſuperfluam me ais operam ſumpſiſſe, cum priores
              <lb/>
            duas corporum rationes numero exhibui, ex quibus tertia
              <lb/>
            vobis definienda erat; </s>
            <s xml:id="echoid-s920" xml:space="preserve">illas enim autor operis Geometrici, ſi
              <lb/>
            credimus, multo antè quàm ego edidiſſem, imo quàm ipſe
              <lb/>
            editus eſſem, perſpectas habuit aliiſque demonſtravit. </s>
            <s xml:id="echoid-s921" xml:space="preserve">Quæ-
              <lb/>
            ſo curnon explicuit igitur, noſque ea levavit moleſtia? </s>
            <s xml:id="echoid-s922" xml:space="preserve">Nam
              <lb/>
            certum erat plurimum ad abſolvendam quadraturam, ſi mo-
              <lb/>
            do abſolvi poſſet, eorum notitiam conferre debere, planéque
              <lb/>
            eſſe neceſſariam. </s>
            <s xml:id="echoid-s923" xml:space="preserve">Sed vobis cuncta perinde nota dici video
              <lb/>
            quæ cognoſci poſſe aliquâ ſaltem ratione imaginamini, at-
              <lb/>
            que ea quæ liquido comperta fuerint. </s>
            <s xml:id="echoid-s924" xml:space="preserve">Itaque ad propoſ. </s>
            <s xml:id="echoid-s925" xml:space="preserve">43.
              <lb/>
            </s>
            <s xml:id="echoid-s926" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s927" xml:space="preserve">10. </s>
            <s xml:id="echoid-s928" xml:space="preserve">me remittis, in qua utramque rationem notam fieri
              <lb/>
            aſſeris. </s>
            <s xml:id="echoid-s929" xml:space="preserve">Illa vero non magis ipſas expedit quam propoſitio
              <lb/>
            poſtrema ejuſdem libri, rationem quæ ſit inter circulum & </s>
            <s xml:id="echoid-s930" xml:space="preserve">
              <lb/>
            quadratum diametri. </s>
            <s xml:id="echoid-s931" xml:space="preserve">Prorsus huic ſimile eſt quod de Para-
              <lb/>
            bolica ungula reſpondes. </s>
            <s xml:id="echoid-s932" xml:space="preserve">Videlicet jam à triginta annis ex-
              <lb/>
            ploratum habuiſſe autorem tuum, quænam ſit illius ad cy-
              <lb/>
            lindrum ſuum proportio. </s>
            <s xml:id="echoid-s933" xml:space="preserve">Equidem ex iis quæ jam tradide-
              <lb/>
            rat, erui illam poſſe faſſus ſum; </s>
            <s xml:id="echoid-s934" xml:space="preserve">ipſum vero adhuc cujuſmo-
              <lb/>
            di foret neſciviſſe, ſatis evidens argumentum videbatur,
              <lb/>
            quod eam non expromeret. </s>
            <s xml:id="echoid-s935" xml:space="preserve">Neque enim credibile, cujus theo-
              <lb/>
            rematis gratia duodeviginti propoſitiones elucubraſſet, id
              <lb/>
            tanquam ſuperfluum non eſſe adſcripturum, ſi tam nullo ne-
              <lb/>
            gotio inveniri poſſe ſperaret. </s>
            <s xml:id="echoid-s936" xml:space="preserve">Parum intererat utrum propo-
              <lb/>
            ſitione illud dignatus fuiſſet, (quod noluiſſe eum dicis) an
              <lb/>
            corollario tantum. </s>
            <s xml:id="echoid-s937" xml:space="preserve">Sed nec in corollario ratio illa uſpiam ex-
              <lb/>
            preſſa eſt. </s>
            <s xml:id="echoid-s938" xml:space="preserve">Nam in eo quod adducis, hoc ſolum legitur,
              <lb/>
            methodum traditam eſſe qua ratio ungulæ ad cylindrum quo
              <lb/>
            continetur, inveſtigari queat, eamque notam fore, ſi quo-
              <lb/>
            rundam inter ſe corporum rationes inventæ fuerint. </s>
            <s xml:id="echoid-s939" xml:space="preserve">Atqui & </s>
            <s xml:id="echoid-s940" xml:space="preserve">
              <lb/>
            horum corporum rationes, & </s>
            <s xml:id="echoid-s941" xml:space="preserve">ex iis quæ ſit inter ungulam
              <lb/>
            cylindrumque ſuum analogia, lectoribus diſquirenda relin-
              <lb/>
            quuntur: </s>
            <s xml:id="echoid-s942" xml:space="preserve">idque ipſe non neſcis. </s>
            <s xml:id="echoid-s943" xml:space="preserve">Quare non ſatis ingenue hic
              <lb/>
            me diſſimulationis arguis, ubi ipſe contra quam ſentias, ſcri-
              <lb/>
            bere videaris.</s>
            <s xml:id="echoid-s944" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s945" xml:space="preserve">Jam vero de palmari errore quem mihi impingis </s>
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