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

Table of contents

< >
[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.
< >
page |< < (555) of 568 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div308" type="section" level="1" n="142">
          <p>
            <s xml:id="echoid-s6069" xml:space="preserve">
              <pb o="555" file="0287" n="302" rhead="SYSTEMA SATURNIUM."/>
            do Saturno lucente, in rectam lineam abeuntem. </s>
            <s xml:id="echoid-s6070" xml:space="preserve">Etſi e-
              <lb/>
            nim, ad verum lunulæ ſitum reſpectu Saturni determinan-
              <lb/>
            dum, hujus quoque motus ratio eſt habenda, cum tamen
              <lb/>
            cauſæ ejus cum cæterorum phænomenôn cauſis prorſus con-
              <lb/>
            junctæ ſint, ſimul cum illis atque una opera exponendum
              <lb/>
            cenſeo.</s>
            <s xml:id="echoid-s6071" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6072" xml:space="preserve">Illam igitur Syſtematis hujus partem alteram nunc aggre-
              <lb/>
            dior, in qua formæ Saturni inſtabilis atque à ſe ipſa diſcre-
              <lb/>
            pantis ratio reddenda, tum qua periodo ſingulæ mutationes
              <lb/>
            contingant dicendum eſt. </s>
            <s xml:id="echoid-s6073" xml:space="preserve">Harum aliquas quæ nobis ſeſe
              <lb/>
            obtulere ſupra exhibui; </s>
            <s xml:id="echoid-s6074" xml:space="preserve">ſed eæ partem tantummodo periodi
              <lb/>
            complectuntur. </s>
            <s xml:id="echoid-s6075" xml:space="preserve">Ideoque ut omnem phænomenôn diverſi-
              <lb/>
            tatem ab iis quas dicemus cauſis pendere conſtet, aliorum
              <lb/>
            quoque temporum obſervationes examinare neceſſe erit,
              <lb/>
            quas à 40 atque amplius annis complures ſcriptis prodide-
              <lb/>
            runt. </s>
            <s xml:id="echoid-s6076" xml:space="preserve">At verò cum Saturni figuras omnes quas nobis deli-
              <lb/>
            nearunt oculis luſtro, eas multiplices adeo ac prodigioſas
              <lb/>
            invenio, ut ſi qua hypotheſis comminiſcenda foret quâ cun-
              <lb/>
            ctis fieret ſatis, nemo non, ut opinor, in ea excogitanda
              <lb/>
            operam luſurus ſit: </s>
            <s xml:id="echoid-s6077" xml:space="preserve">cum nulla tam crebræ atque enormis
              <unsure/>
              <lb/>
            transformationis cauſa eſſe poſſit, niſi ponatur ipſam Satur-
              <lb/>
            nii corporis molem identidem aliam atque aliam faciem in-
              <lb/>
            duere, quod ab omni veriſimilitudine eſt alienum. </s>
            <s xml:id="echoid-s6078" xml:space="preserve">Quam-
              <lb/>
            obrem delectus adhibendus eſt obſervatis illorum, & </s>
            <s xml:id="echoid-s6079" xml:space="preserve">inqui-
              <lb/>
            rendum quænam ex iis fidem mereantur, quæve contra ut
              <lb/>
            ſuſpecta rejicienda ſint. </s>
            <s xml:id="echoid-s6080" xml:space="preserve">Quo in examine illud concedi no-
              <lb/>
            bis poſtulamus, ut quoniam Saturni comitem primi perſpi-
              <lb/>
            cillis noſtris deteximus, ac quoties libet clarè intuemur, præ-
              <lb/>
            ferantur propterea noſtra hæc illis quibus alii ad ſtellam ean-
              <lb/>
            dem nequaquam pertingere potuere, licet quotidie Saturno
              <lb/>
            obſervando intenti: </s>
            <s xml:id="echoid-s6081" xml:space="preserve">eoque noſtræ etiam circa formam pla-
              <lb/>
            netæ obſervationes veriores habeantur, quoties eodem tem-
              <lb/>
            pore nobis atque illis diverſæ phaſes animadverſæ fuerint.
              <lb/>
            </s>
            <s xml:id="echoid-s6082" xml:space="preserve">Adjuncta itaque tabella omnes eas exhibet quas ex variis au-
              <lb/>
              <note position="right" xlink:label="note-0287-01" xlink:href="note-0287-01a" xml:space="preserve">TAB. LII.</note>
            toribus deſcripſimus.</s>
            <s xml:id="echoid-s6083" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6084" xml:space="preserve">Ac prima quidem harum formarum eſt quam Galilæus ad-
              <lb/>
              <note position="right" xlink:label="note-0287-02" xlink:href="note-0287-02a" xml:space="preserve">Ha
                <unsure/>
              ſingalæ
                <lb/>
              examina@
                <lb/>
              tur.</note>
            </s>
          </p>
        </div>
      </text>
    </echo>