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

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            <s xml:id="echoid-s945" xml:space="preserve">
              <pb o="346" file="0054" n="58" rhead="CHRIST. HUGENII AD XAVERIUM"/>
            mus. </s>
            <s xml:id="echoid-s946" xml:space="preserve">Is circa verbum continere commiſſus eſt, ex quo non
              <lb/>
            recte percepto factum eſt ſcilicet, ut, cum Quadraturam ve-
              <lb/>
            ſtram oppugnare me crederem, nihil minus egerim, omnes-
              <lb/>
            que item, qui me labefeciſſe eam judicarunt, cæcutierint.
              <lb/>
            </s>
            <s xml:id="echoid-s947" xml:space="preserve">Ego ſignificationem duplicem ejus verbi quam in opere Ge-
              <lb/>
            ometrico inveneram, adduxi, tuam, quæ & </s>
            <s xml:id="echoid-s948" xml:space="preserve">P. </s>
            <s xml:id="echoid-s949" xml:space="preserve">Sarraſæ eſt,
              <lb/>
            interpretationem, quoniam adhuc ignorabam, præterii. </s>
            <s xml:id="echoid-s950" xml:space="preserve">Igi-
              <lb/>
            tur hic palmaris eſt error meus, quod nec P. </s>
            <s xml:id="echoid-s951" xml:space="preserve">Sarraſæ librum,
              <lb/>
            nec tuum Corollarium tum temporis videram. </s>
            <s xml:id="echoid-s952" xml:space="preserve">Sed nec for-
              <lb/>
            taſſe ſi ſciviſſem explicationem veſtram, propterea memo-
              <lb/>
            randam duxiſſem, cum parum adeo ad rem faciat, ſitque
              <lb/>
            monſtroſa plane atque abſona, uti ex adjecto ſpecimine li-
              <lb/>
            quebit: </s>
            <s xml:id="echoid-s953" xml:space="preserve">quantum vero ea promoveritis deinde exponam. </s>
            <s xml:id="echoid-s954" xml:space="preserve">
              <lb/>
            Propoſitio 40. </s>
            <s xml:id="echoid-s955" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s956" xml:space="preserve">10. </s>
            <s xml:id="echoid-s957" xml:space="preserve">eſt hujuſmodi. </s>
            <s xml:id="echoid-s958" xml:space="preserve">Iiſdempoſitis, dicora-
              <lb/>
            tionem ſolidiex R S in X Y ad ſolidum ex T V in Z &</s>
            <s xml:id="echoid-s959" xml:space="preserve">, to-
              <lb/>
            ties continere rationem ſolidiex I K in N O ad ſolidum ex L M
              <lb/>
            in P Q, quoties hæc ipſa ratio continet rationem ſolidi ex A B
              <lb/>
            in E F ad ſolidum ex C D in G H. </s>
            <s xml:id="echoid-s960" xml:space="preserve">Quam propoſitionem jux-
              <lb/>
            ta mentem, ut ais, autoris, (variatâ tantùm phraſi ſcilicet)
              <lb/>
            ſic nobis enarras. </s>
            <s xml:id="echoid-s961" xml:space="preserve">Iiſdem poſitis, dico rationem ſolidi ex R S
              <lb/>
            in X Y ad ſolidum ex T V in Z &</s>
            <s xml:id="echoid-s962" xml:space="preserve">, conſtitui ex iis rationibus
              <lb/>
            quæ toties multiplicatæ ſunt illarum rationum ex quibus con-
              <lb/>
            ſtituitur ratio ſolidi ex I K in N O ad ſolidum ex L M in
              <lb/>
            P Q, quoties hæ ipſæ rationes multiplicatæ ſunt earum ex qui-
              <lb/>
            bus conſtituitur ratio ſolidi ex A B in E F ad ſolidum ex C D
              <lb/>
            in G H.</s>
            <s xml:id="echoid-s963" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s964" xml:space="preserve">Pulchra vero explanatio! quam quia ego pervidere non
              <lb/>
            valui, ſenſum convenientem ratiociniis veſtris non percepi.
              <lb/>
            </s>
            <s xml:id="echoid-s965" xml:space="preserve">At cui hoc in mentem veniret, Mathematicum longe aliud
              <lb/>
            ſcribere quam intelligi poſtulet? </s>
            <s xml:id="echoid-s966" xml:space="preserve">quiſve magis adhuc intri-
              <lb/>
            catum ſenſum theorematibus jam nunc nimium obſcuris af-
              <lb/>
            fingere vellet? </s>
            <s xml:id="echoid-s967" xml:space="preserve">Omnes profecto qui vobis controverſiam mo-
              <lb/>
            verunt, haud aliter atque ego, verbum continere accepiſſe
              <lb/>
            noſti, neque ulli hoc incidiſſe, ut cum de ratione inter duas
              <lb/>
            magnitudines legeret, id ad partiales referret, ex quibus to-
              <lb/>
            tales conſtituerentur. </s>
            <s xml:id="echoid-s968" xml:space="preserve">Ecce vero ut præter eos quorum ani-
              <lb/>
            madverſiones ad manus veſtras pervenere, eadem plane </s>
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