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="556" file="0288" n="303" rhead="CHRIST. HUGENII"/>
            notavit anno 1610, in qua triceps Saturnus ſpectatur, mi-
              <lb/>
              <note position="left" xlink:label="note-0288-01" xlink:href="note-0288-01a" xml:space="preserve">TAB. LII.
                <lb/>
              fig. 1.</note>
            noribus duobus orbiculis majori utrinque adjacentibus.
              <lb/>
            </s>
            <s xml:id="echoid-s6085" xml:space="preserve">Hanc alii quoque permulti viderunt, aut certè ſe vidiſſe cre-
              <lb/>
            diderunt. </s>
            <s xml:id="echoid-s6086" xml:space="preserve">Nam ſi grandiores tubos adhibuiſſent atque o-
              <lb/>
            ptimis vitris inſtructos, haud dubiè pro triplici hac globulo-
              <lb/>
            rum facie eadem ſeſe illis obtuliſſet quam nobis diximus an-
              <lb/>
            no 1655, ac rurſus anno inſequenti, die 13 Oct. </s>
            <s xml:id="echoid-s6087" xml:space="preserve">viſam. </s>
            <s xml:id="echoid-s6088" xml:space="preserve">Hoc
              <lb/>
            enim inde colligimus quod dum illis bini ad latera globuli
              <lb/>
            apparent, nobis porrecta in longitudinem brachia tubi no-
              <lb/>
            ſtri referunt; </s>
            <s xml:id="echoid-s6089" xml:space="preserve">uti contigit eo ipſo anno 1655, menſe Aprili
              <lb/>
            ac Majo, quo tempore triſphærica illa figura Ricciolo He-
              <lb/>
            velioque obſervata fuit. </s>
            <s xml:id="echoid-s6090" xml:space="preserve">Etenim quo certius conſtet ob per-
              <lb/>
            ſpicillorum parvitatem talem hanc cerni, experimur nobis
              <lb/>
            quoque, quoties breviori perſpicillo, quinûm puta aut ſe-
              <lb/>
            nûm pedum, Saturnum aſpicimus, binos globulos dictorum
              <lb/>
            loco brachiorum apparere; </s>
            <s xml:id="echoid-s6091" xml:space="preserve">etiam illâ anni 1658 jam exiſten-
              <lb/>
            te phaſi.</s>
            <s xml:id="echoid-s6092" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6093" xml:space="preserve">Quænam autem fallacis imaginis cauſa ſit facile perſpici-
              <lb/>
            tur. </s>
            <s xml:id="echoid-s6094" xml:space="preserve">Quippe enim quum circa extremas cuſpides amplio-
              <lb/>
            rem lucem brachia hæc ſive alæ emittant, quam qua parte
              <lb/>
            medio Saturni diſco adhærent, ubi ſemper umbræ aliquid
              <lb/>
            intercedit, non modo cum manifeſto jam bifida evaſerunt,
              <lb/>
            velut anno 1658, ſed antea quoque ut anno 1657; </s>
            <s xml:id="echoid-s6095" xml:space="preserve">non mi-
              <lb/>
            rum eſt lucem illam intenſiorem, debiliori interjecta, peni-
              <lb/>
            tus à medio orbe ſeparatam videri. </s>
            <s xml:id="echoid-s6096" xml:space="preserve">Neque item rotundam
              <lb/>
            ex oblonga fieri mirandum eſt, cum idem accidat omni fi-
              <lb/>
            guræ eminus, nec ſatis diſtinctè ob exilitatem, perceptæ,
              <lb/>
            atque eo magis quo fuerit lucidior. </s>
            <s xml:id="echoid-s6097" xml:space="preserve">Itaque plane conſtat te-
              <lb/>
            leſcopiorum culpa phaſin hanc vitiatam eſſe, licet obſerva-
              <lb/>
            tores bona fide eam tradiderint.</s>
            <s xml:id="echoid-s6098" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6099" xml:space="preserve">Quæ ſequitur hanc nihilo melius ſe habet, à Scheinero
              <lb/>
              <note position="left" xlink:label="note-0288-02" xlink:href="note-0288-02a" xml:space="preserve">TAB. LII.
                <lb/>
              fig. 2.</note>
            obſervata anno 1614. </s>
            <s xml:id="echoid-s6100" xml:space="preserve">Atque equidem dubito, perfectiori-
              <lb/>
            buſne an deterioribus perſpicillis, quam qui præcedentem
              <lb/>
            dederunt, hanc deprehenderit. </s>
            <s xml:id="echoid-s6101" xml:space="preserve">Quoniam hactenus quidem
              <lb/>
            ad veram magis accedit, quod affixas Saturno auriculas ex-
              <lb/>
            hibet; </s>
            <s xml:id="echoid-s6102" xml:space="preserve">at contra in eo aberrat, quod plus juſto earum </s>
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