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

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        <div xml:id="echoid-div235" type="section" level="1" n="116">
          <p>
            <s xml:id="echoid-s4484" xml:space="preserve">
              <pb o="482" file="0202" n="212" rhead="J. GREG. CONS. SUPER HUG. EXCEPT."/>
            minor quam ejuſdem {1/3000000}. </s>
            <s xml:id="echoid-s4485" xml:space="preserve">Sed hæc levia mihi videntur,
              <lb/>
            cum poſſim Approximationes exhibere, quæ ab ipſa
              <lb/>
            ſemi-circumferentia differant minori intervallo, quam quæ-
              <lb/>
            libet ejus pars aſſignata, neque nobis amplius apparent hæc
              <lb/>
            mirabilia, cum demonſtratio ſolida innoteſcat. </s>
            <s xml:id="echoid-s4486" xml:space="preserve">Ad reliqua
              <lb/>
            ab Hugenio publicata, cum à meo inſtituto ſint aliena, nihil
              <lb/>
            dico, niſi quod ipſa Hugenii dicta (non obſtante exactiſſi-
              <lb/>
            ma ſua, ut ait, materiæ hujus examinatione) à meæ Ap-
              <lb/>
            pendiculæ factis ni fallor, longè ſuperentur. </s>
            <s xml:id="echoid-s4487" xml:space="preserve">Vale. </s>
            <s xml:id="echoid-s4488" xml:space="preserve">Decemb.
              <lb/>
            </s>
            <s xml:id="echoid-s4489" xml:space="preserve">15. </s>
            <s xml:id="echoid-s4490" xml:space="preserve">1668.</s>
            <s xml:id="echoid-s4491" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4492" xml:space="preserve">Figura Hugenii hæc eſt, quam ipſe hoc ſenſu, licet Gal-
              <lb/>
            licè, ſic explicat. </s>
            <s xml:id="echoid-s4493" xml:space="preserve">Sit Arcus Circuli, qui non excedat ſemicir-
              <lb/>
            cumferentiam, A B C, cujus ſubtenſa ſit A C, & </s>
            <s xml:id="echoid-s4494" xml:space="preserve">dividan-
              <lb/>
            tur ambo in partes æquales per lineam B D. </s>
            <s xml:id="echoid-s4495" xml:space="preserve">Ducta ſubtenſa
              <lb/>
            A B, capias inde {2/3}, eaſque jungas inde ab A ad E in linea
              <lb/>
            C A protracta. </s>
            <s xml:id="echoid-s4496" xml:space="preserve">Dein, reſecta lineæ D E parte decima E F,
              <lb/>
            ducas F B, & </s>
            <s xml:id="echoid-s4497" xml:space="preserve">tandem B G, ipſi perpendicularem: </s>
            <s xml:id="echoid-s4498" xml:space="preserve">& </s>
            <s xml:id="echoid-s4499" xml:space="preserve">habe-
              <lb/>
            bis lineam A G æqualem Arcui A B C, cujus exceſſus tantil-
              <lb/>
            lus erit, ut etiam tunc, quando hic arcus æqualis erit ſemi-
              <lb/>
            circumferentiæ Circuli, futura non ſit differentia {1/3400} ſuæ
              <lb/>
            longitudinis; </s>
            <s xml:id="echoid-s4500" xml:space="preserve">at quando non eſt niſi tertiæ partis circumfe-
              <lb/>
            ferentiæ, differentia non erit {1/13000}; </s>
            <s xml:id="echoid-s4501" xml:space="preserve">& </s>
            <s xml:id="echoid-s4502" xml:space="preserve">ſi non ſit niſi quar-
              <lb/>
            tæ partis, non differet niſi {1/90000}, ſuæ longitudinis.</s>
            <s xml:id="echoid-s4503" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div238" type="section" level="1" n="117">
          <head xml:id="echoid-head161" xml:space="preserve">FINIS.</head>
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