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

Table of contents

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[101.] PROP. XXXI. PROBLEMA. Ex dato arcu invenire ſinum.
[102.] PROP. XXXII. PROBLEMA. Invenire quadratum æquale ſpatio hyperbolico con-tento à curva hyperbolica, uno aſymptoto & dua-bus rectis alteri aſymptoto parallelis; quod ſpatium æquale eſt ſectori hyperbolico cujus baſis eſt eadem curva.
[103.] PROP. XXXIII. PROBLEMA. Propoſiti cujuscunque numeri logorithmum invenire.
[104.] SCHOLIUM.
[105.] PROP. XXXIV. PROBLEMA. Ex dato logorithmo invenire ejus numerum.
[106.] Tom. II. Mmm
[107.] PROP. XXXV. PROBLEMA. Rectâ per datum punctum in diametro ductâ, ſemicirculum in ratione data dividere.
[108.] SCHOLIUM.
[109.] FINIS.
[110.] II. HUGENII OBSERVATIONES IN LIBRUM JACOBI GREGORII, DE VERA CIRCULI ET HYPERBOLÆ QUADRATURA.
[111.] III. DOMINI GREGORII RESPONSUM AD ANIMADVERSIONES DOMINI HUGENII, IN EJUS LIBRUM, DE VERA CIRCULI ET HYPERBOLÆ QUADRATURA.
[112.] PROP. X. PROBLEMA.
[113.] Tom. II. Nnn
[114.] CONSECTARIUM.
[115.] IV. EXCERPTA EX LITERIS Dni. HUGENII DE RESPONSO, QUOD Dnus. GREGORIUS DEDIT AD EXAMEN LIBRI, CUI TITULUS EST, VERA CIRCULI ET HYPERBOLÆ QUADRATURA.
[116.] V. EXCERPTA EX EPISTOLA D. JACOBI GREGORII, CONTINENTE QUASDAM EJUS CONSIDERATIO-NES, SUPER EPISTOLA D. HUGENII, IMPRESSA IN VINDICATIONEM EXAMINIS SUI LIBRI, DE VERA CIRCULI ET HY-PERBOLÆ QUADRATURA.
[117.] FINIS.
[118.] CHRISTIANI HUGENII GEOMETRICA VARIA. Tom. II. Ppp
[119.] I. CONSTRUCTIO LOCI AD HYPERBOLAM PER ASYMPTOTOS.
[120.] DEMONSTRATIO.
[121.] II. DEMONSTRATIO REGULÆ DE MAXIMIS ET MINIMIS.
[122.] Tom. II. Qqq
[123.] III. REGULA Ad inveniendas Tangentes linearum curvarum.
[124.] Tom. II. Rrr
[125.] IV. CHRISTIANI HUGENII EPISTOLA DE CURVIS QUIBUSDAM PECULIARIBUS.
[126.] V. PROBLEMA AB ERUDITIS SOLVENDUM: A JOHANNE BERNOULLIO IN ACTIS LIPSIENSIBUS ANNI MDCXCIII. PROPOSITUM.
[127.] Tom. II. Ttt
[128.] VI. C. H. Z. DE PROBLEMATE BERNOULLIANO IN ACTIS LIPSIENSIBUS PROPOSITO.
[129.] VII. C. H. Z. CONSTRUCTIO UNIVERSALIS PROBLEMATIS A CLARISSIMO VIRO JOH. BERNOULLIO PROPOSITI.
[130.] FINIS.
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              <pb o="413" file="0131" n="140" rhead="DEFINITIONES."/>
            omnibus contactum punctis polygoni regularis à tangen-
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            tibus comprehenſi, appello hæc polygona complicata.</s>
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          <p>
            <s xml:id="echoid-s2745" xml:space="preserve">5 Quantitatem dicimus à quantitatibus eſſe compoſitam;
              <lb/>
            </s>
            <s xml:id="echoid-s2746" xml:space="preserve">cum à quantitatum additione, ſubductione, multiplica-
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            tione, diviſione, radicum extractione, vel quacunque alia
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            imaginabili operatione, fit alia quantitas.</s>
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            <s xml:id="echoid-s2748" xml:space="preserve">6 Quando quantitas componitur ex quantitatum additione,
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            ſubductione, multiplicatione, diviſione, radicum extra-
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            ctione; </s>
            <s xml:id="echoid-s2749" xml:space="preserve">dicimus illam componi analyticè.</s>
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            <s xml:id="echoid-s2751" xml:space="preserve">7 Quando quantitates à quantitatibus inter ſe commenſura-
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            bilibus analyticè componi poſſunt, dicimus illas eſſe inter
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            ſe analyticas.</s>
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            <s xml:id="echoid-s2753" xml:space="preserve">8 Si à quantitatibus quotcunque A, B, C, D, E, com-
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            componatur quantitas Z, eâdem omnino methodo & </s>
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            dem omnino operationibus quibus antè componebatur X,
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            poſitis quantitatibus F, G, loco quantitatum A, B, ſi
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            inquam hoc fiat. </s>
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            <s xml:id="echoid-s2758" xml:space="preserve">9 Sint duæ quantitates A, B, à quibus compo-
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              A # B
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              C # D
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              E # F
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              G # H
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            nantur duæ aliæ quantitates C, D, quarum
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            differentia ſit minor differentia quantitatum
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            A, B, & </s>
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            <s xml:id="echoid-s2761" xml:space="preserve">eodem modo quo D componitur à quan-
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