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

Table of contents

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[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.
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            <emph style="bf">CHRISTIANI HUGENII,</emph>
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            <emph style="sc">Const</emph>
          . F.</head>
          <head xml:id="echoid-head17" xml:space="preserve">THEOREMATA
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          DE</head>
          <head xml:id="echoid-head18" xml:space="preserve">
            <emph style="bf">QUADRATURA</emph>
          </head>
          <head xml:id="echoid-head19" xml:space="preserve">HYPERBOLES, ELLIPSIS,
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          ET CIRCULI,
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          EX DATO</head>
          <head xml:id="echoid-head20" xml:space="preserve">PORTIONUM GRAVITATIS CENTRO</head>
          <head xml:id="echoid-head21" xml:space="preserve">
            <emph style="sc">Theorema</emph>
          I.</head>
          <p style="it">
            <s xml:id="echoid-s48" xml:space="preserve">POrtioni hyperboles, vel ellipſis vel
              <lb/>
            circuli portioni, dimidiâ ellipſi di-
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            midiove circulo non majori, circum-
              <lb/>
            ſcribi poteſt figura ex parallelo-
              <lb/>
            grammis æqualem latitudinem ha-
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            bentibus, quæ portionem excedat ſpatio quod minus
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            ſit quovis dato.</s>
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          </p>
          <p>
            <s xml:id="echoid-s50" xml:space="preserve">
              <emph style="sc">DAta</emph>
            ſit portio A B C, cujus diameter B D.
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            </s>
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              <note position="right" xlink:label="note-0015-01" xlink:href="note-0015-01a" xml:space="preserve">TAB. XXXIV.
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              Fig. 1.</note>
            Super baſin A C conſtituatur parallelogrammum
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            A E, latera duo habens diametro B D parallela
              <lb/>
            & </s>
            <s xml:id="echoid-s52" xml:space="preserve">æqualia, quo fiet ut latus reliquum portionem
              <lb/>
            in vertice contingat. </s>
            <s xml:id="echoid-s53" xml:space="preserve">Hoc parallelogrammo con-
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            tinuè in duo æqualia ſecto, relinquetur tandem pars </s>
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