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

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          <pb o="574" file="0308" n="324" rhead="CHRIST. HUGENII"/>
          <p>
            <s xml:id="echoid-s6478" xml:space="preserve">Ajo itaque in omnibus prædictarum phaſium, poſito, ut
              <lb/>
              <note position="left" xlink:label="note-0308-01" xlink:href="note-0308-01a" xml:space="preserve">Majorem
                <lb/>
              Saturni dia-
                <lb/>
              metrum ne-
                <lb/>
              ceſſario Æ-
                <lb/>
              quatori pa-
                <lb/>
              rallelam
                <lb/>
              ſemper vi-
                <lb/>
              deri.</note>
            hactenus ſecimus, parallelum eſſe annuli planum plano æ-
              <lb/>
            quatoris, neceſſario fieri ut major diameter Saturni, ſive el-
              <lb/>
            lipſeos ejus cui annulus aſſimilatur, ſemper æquatori circulo
              <lb/>
            parallela ſpectetur, planè quemadmodum revera contingere
              <lb/>
            noſtris aliorumque obſervationibus ſupra probavimus. </s>
            <s xml:id="echoid-s6479" xml:space="preserve">Quum
              <lb/>
            enim viſus noſter reſpectu cæleſtium in centro æquatoris cir-
              <lb/>
            culi, atque adeo in plano ejus collocatus ſit, cui plano pla-
              <lb/>
            num annuli parallelum ponitur, neceſſe eſt maximam longi-
              <lb/>
            tudinem annularis ellipſeos eidem æquatori circulo paral-
              <lb/>
            lelam extendi: </s>
            <s xml:id="echoid-s6480" xml:space="preserve">eâdem prorſus ratione, quâ, ſi in aëre pla-
              <lb/>
            no terræ parallelum circulum ſuſpendamus, oculo noſtro
              <lb/>
            altiorem, indeque paſſibus aliquot retro abſiſtamus, major
              <lb/>
            diameter ellipſis quam ſuſpenſus circulus viſui offert Ho-
              <lb/>
            rizontis circulo æqui diſtare comperietur. </s>
            <s xml:id="echoid-s6481" xml:space="preserve">Hoc enim pro-
              <lb/>
            culdubio eventurum, cuivis vel citra experimentum intel-
              <lb/>
            ligitur.</s>
            <s xml:id="echoid-s6482" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6483" xml:space="preserve">Eſſe autem annuli planum plano æquatoris omnimodis
              <lb/>
              <note position="left" xlink:label="note-0308-02" xlink:href="note-0308-02a" xml:space="preserve">Revera ta-
                <lb/>
              men mini-
                <lb/>
              mum quid
                <lb/>
              nonnun-
                <lb/>
              quam aber-
                <lb/>
              @are.</note>
            parallelum, etſi obſervationibus, quas quidem expendimus
              <lb/>
            hactenus, minimè repugnantibus ſtatuere licuit; </s>
            <s xml:id="echoid-s6484" xml:space="preserve">exiguum ta-
              <lb/>
            men quid deeſſe, quo minus omnino perfectus ſit eorum pa-
              <lb/>
            ralleliſmus, alia ratione deprehenditur. </s>
            <s xml:id="echoid-s6485" xml:space="preserve">Etenim ſi prorſus
              <lb/>
            inter ſe parallela forent utraque plana, ſequeretur ut cum
              <lb/>
            in pr. </s>
            <s xml:id="echoid-s6486" xml:space="preserve">♈ & </s>
            <s xml:id="echoid-s6487" xml:space="preserve">♎ Saturnus ſpectaretur, omnium arctiſſima annu-
              <lb/>
            li ellipſis, & </s>
            <s xml:id="echoid-s6488" xml:space="preserve">quaſi recta linea exiſteret, latiſſima verò in pr.
              <lb/>
            </s>
            <s xml:id="echoid-s6489" xml:space="preserve">♋ & </s>
            <s xml:id="echoid-s6490" xml:space="preserve">♑. </s>
            <s xml:id="echoid-s6491" xml:space="preserve">Atqui arctiſſimam annuli phaſium in gr. </s>
            <s xml:id="echoid-s6492" xml:space="preserve">20{1/2} ♍ & </s>
            <s xml:id="echoid-s6493" xml:space="preserve">♓
              <lb/>
            cadere invenimus, ut in ſequentibus demonſtrabitur, ac pro-
              <lb/>
            inde latiſſimam in gr. </s>
            <s xml:id="echoid-s6494" xml:space="preserve">20{1/2} ♊ & </s>
            <s xml:id="echoid-s6495" xml:space="preserve">♐. </s>
            <s xml:id="echoid-s6496" xml:space="preserve">Non igitur exactè paral-
              <lb/>
            lela eſſe plana annuli & </s>
            <s xml:id="echoid-s6497" xml:space="preserve">æquatoris hinc patuit, ideoque nec
              <lb/>
            ſemper revera parallelam, licet ita videatur, magnam Satur-
              <lb/>
            ni diametrum æquatori circulo fore. </s>
            <s xml:id="echoid-s6498" xml:space="preserve">Quæſitoque per ſphæ-
              <lb/>
            rica triangula, quibus in locis & </s>
            <s xml:id="echoid-s6499" xml:space="preserve">quanta ſit maxima inclina-
              <lb/>
            tio, inveni eam gr. </s>
            <s xml:id="echoid-s6500" xml:space="preserve">4 8′. </s>
            <s xml:id="echoid-s6501" xml:space="preserve">quando Saturnus in gr. </s>
            <s xml:id="echoid-s6502" xml:space="preserve">25, 15′. </s>
            <s xml:id="echoid-s6503" xml:space="preserve">♊
              <lb/>
            & </s>
            <s xml:id="echoid-s6504" xml:space="preserve">♐ verſatur. </s>
            <s xml:id="echoid-s6505" xml:space="preserve">Tali nimirum angulo, nec unquam majori,
              <lb/>
            anſarum linea circulum æquatori parallelum per Saturnum
              <lb/>
            tranſeuntem iis in locis interſecabit; </s>
            <s xml:id="echoid-s6506" xml:space="preserve">qui cum ſit adeo </s>
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