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

Page concordance

< >
Scan Original
51
52
53
54
55
56 344
57 345
58 346
59 347
60 348
61 349
62 350
63
64
65
66
67
68
69
70 358
71 359
72 360
73 361
74 362
75 363
76 364
77 365
78 366
79
80
< >
page |< < (346) of 568 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div49" type="section" level="1" n="21">
          <p>
            <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>
          </p>
        </div>
      </text>
    </echo>
Impressum