Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica

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            H P ſunt æquales, ac æqualiter inclinatæ ad C I. </s>
            <s xml:id="echoid-s5613" xml:space="preserve">Ergo an-
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            guli M, P, trianguli M H P ſunt æquales; </s>
            <s xml:id="echoid-s5614" xml:space="preserve">aſt angulos H M O,
              <lb/>
            H P O etiam eſſe æquales certum eſt, nullo habito reſpectu
              <lb/>
            ad id, quod radiis O M, O P intra Teleſcopium accidit,
              <lb/>
            nec ſi vitri objectivi axis per hujus centrum transeat, id eſt,
              <lb/>
            an maximam ſuam in centro habeat craſſitudinem. </s>
            <s xml:id="echoid-s5615" xml:space="preserve">Anguli
              <lb/>
            igitur M, P, trianguli M O P ſimiliter æquales ſunt, & </s>
            <s xml:id="echoid-s5616" xml:space="preserve">
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            triangulum hoc eſt Iſosceles, uti M P H; </s>
            <s xml:id="echoid-s5617" xml:space="preserve">recta idcirco H O
              <lb/>
            ſecabit M P ad angulos rectos; </s>
            <s xml:id="echoid-s5618" xml:space="preserve">ſed M P parallela erat C I;
              <lb/>
            </s>
            <s xml:id="echoid-s5619" xml:space="preserve">O H ergo perpendicularis eſt C I, & </s>
            <s xml:id="echoid-s5620" xml:space="preserve">idcirco punctum O
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            in eodem plano Horizontali cum centro H Teleſcopii, quod
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            probandum erat.</s>
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            <s xml:id="echoid-s5622" xml:space="preserve">Si nunc centrum vitri objectivi M, P, in utroque caſu
              <lb/>
            detur in eodem puncto ut S, recta H S perpendicularis erit
              <lb/>
            C I, quandoquidem anguli C H S, I H S tum æquales
              <lb/>
            ſint, propter Teleſcopii inverſionem, verum quia S O tendit
              <lb/>
            ad idem punctum O in ambabus ſuſpenſionibus, neceſſario
              <lb/>
            erit in eadem recta linea cum H S, ſi enim lineæ hæ angu-
              <lb/>
            lum conficerent, angulus iſte ſuperne in una ſuſpenſione eſ-
              <lb/>
            ſet dum in altera ſitum contrarium haberet, ſicque juxta
              <lb/>
            filum ad duo diſtincta puncta collinearemus, cum ad uni-
              <lb/>
            cum punctum id fieri poſuimus; </s>
            <s xml:id="echoid-s5623" xml:space="preserve">ſed integra igitur linea O S H
              <lb/>
            eſt perpendicularis ad C I, ideoque punctum O in eodem
              <lb/>
            datur plano Horizontali cum puncto H.</s>
            <s xml:id="echoid-s5624" xml:space="preserve"/>
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        <div xml:id="echoid-div453" type="section" level="1" n="187">
          <head xml:id="echoid-head237" style="it" xml:space="preserve">III.
            <lb/>
          Aſtroſcopia Compendiaria, Tubi Optici
            <lb/>
          molimine liberata.</head>
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            <s xml:id="echoid-s5625" xml:space="preserve">QUod pleriſque omnibus accidit novis inventis, ut, à par-
              <lb/>
            vis orta initiis, cura & </s>
            <s xml:id="echoid-s5626" xml:space="preserve">tractatione hominum auctiora fiant
              <lb/>
            ac perfectiora, id vel præcipue, in admirando illo pro-
              <lb/>
            ferendi viſus artificio, uſu veniſſe animadvertimus. </s>
            <s xml:id="echoid-s5627" xml:space="preserve">Notum
              <lb/>
            eſt enim quàm fuerit à prima origine tenue ac pene nihili,
              <lb/>
            cum rudimenta ejus quædam, in Portæ Neapolitani </s>
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