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

Table of contents

< >
[11.] Theorema III.
[12.] Theorema IV.
[13.] Lemma.
[14.] Theorema V.
[15.] Theorema VI.
[16.] Theorema VII.
[17.] Theorema VIII.
[18.] ἘΞἘΤΑΣΙΣ CYCLOMETRIÆ CLARISSIMI VIRI, GREGORII à S. VINCENTIO, S. J. Editæ Anno D. cIↄ Iↄc XLVII.
[19.] FINIS.
[20.] CHRISTIANI HUGENII, Const. F. AD C. V. FRAN. XAVERIUM AINSCOM. S.I. EPISTOLA, Qua diluuntur ea quibus Ε’ξε{τα}{σι}ς Cyclometriæ Gregorii à Sto. Vincentio impugnata fuit.
[21.] CHRISTIANI HUGENII, Const. F. AD C. V. FRAN. XAVERIUM AINSCOM. S. I. EPISTOLA. Cl. Viro D°. XAVERIO AINSCOM CHRISTIANUS HUGENIUS S. D.
[22.] CHRISTIANI HUGENII, Const. F. DE CIRCULI MAGNITUDINE INVENTA. ACCEDUNT EJUSDEM Problematum quorundam illuſtrium Conſtructiones.
[23.] PRÆFATIO.
[24.] CHRISTIANI HUGENII, Const. f. DE CIRCULI MAGNITUDINE INVENTA. Theorema I. Propositio I.
[25.] Theor. II. Prop. II.
[26.] Theor. III. Prop. III.
[27.] Theor. IV. Prop. IV.
[28.] Theor. V. Prop. V.
[29.] Theor. VI. Prop. VI.
[30.] Theor. VII. Prop. VII.
[31.] Theor. VIII. Prop. VIII.
[32.] Theor. IX. Prop. IX.
[33.] Problema I. Prop. X. Peripheriæ ad diametrum rationem invenire quamlibet veræ propinquam.
[34.] Problema II. Prop. XI.
[35.] Aliter.
[36.] Aliter.
[37.] Problbma III. Prop. XII. Dato arcui cuicunque rectam æqualem ſumere.
[38.] Theor. X. Prop. XIII.
[39.] Lemma.
[40.] Theor. XI. Prop. XIV.
< >
page |< < of 568 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div7" type="section" level="1" n="7">
          <pb file="0011" n="11"/>
          <figure number="2">
            <image file="0011-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0011-01"/>
          </figure>
        </div>
        <div xml:id="echoid-div8" type="section" level="1" n="8">
          <head xml:id="echoid-head15" xml:space="preserve">
            <emph style="bf">AD LECTOREM.</emph>
          </head>
          <p>
            <s xml:id="echoid-s1" xml:space="preserve">DE Conicis Sectionibus & </s>
            <s xml:id="echoid-s2" xml:space="preserve">Cir-
              <lb/>
            culo novi quid adferimus,
              <lb/>
            Amice Lector, ſi tamen ita vo-
              <lb/>
            cari queat, quod æternâ le-
              <lb/>
            ge definitum conſtitutum que,
              <lb/>
            quale nunc eſt, perpetuò fuit.
              <lb/>
            </s>
            <s xml:id="echoid-s3" xml:space="preserve">Sic quod recens effoditur, no-
              <lb/>
            vum quis aurum dicat. </s>
            <s xml:id="echoid-s4" xml:space="preserve">Sic ſtellas in cœlo novas,
              <lb/>
            quæ ſuperioribus ſæculis incognitæ, noſtrorum
              <lb/>
            artificio deteguntur. </s>
            <s xml:id="echoid-s5" xml:space="preserve">Neque verò his Geometri-
              <lb/>
            cum Theorema ullum vetuſtate cedit, ſed nos
              <lb/>
            novitatem ſingulis tribuimus, prout quæque ſe-
              <lb/>
            ſe nobis offerunt fiuntque manifeſta. </s>
            <s xml:id="echoid-s6" xml:space="preserve">Itaque & </s>
            <s xml:id="echoid-s7" xml:space="preserve">
              <lb/>
            inſcripti trigoni Parabola ante Archimedem ſeſ-
              <lb/>
            quitertia fuiſſe dicenda eſt; </s>
            <s xml:id="echoid-s8" xml:space="preserve">neque illa minùs
              <lb/>
            immutabili veritate reliquarum Sectionum Cir-
              <lb/>
            culique portionibus ſemper inerant, quæ nunc
              <lb/>
            circa eas prodimus, licet antehac nemini, de
              <lb/>
            quo quidem ad nos pervenerit, comperta fuiſſe
              <lb/>
            conſtet vel determinata. </s>
            <s xml:id="echoid-s9" xml:space="preserve">Damus autem non iſti,
              <lb/>
            quam retulimus, Archimedeæ ſimilem determi-
              <lb/>
            nationem, neque vel ipſa rerum natura, poſt
              <lb/>
            tot ſubtiliſſimorum hominum deluſos conatus,
              <lb/>
            ſpem reliquiſſe videtur tale quid unquam de fi-
              <lb/>
            guris, quas tractandas ſumpſimus, expectandi: </s>
            <s xml:id="echoid-s10" xml:space="preserve">
              <lb/>
            Verùm id præſtitiſſe profitemur, quod in </s>
          </p>
        </div>
      </text>
    </echo>