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

Table of figures

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[Figure 101]
[Figure 102]
[103] Pag. 520.TAB. XLVI.Fig. 1.D C E A X F K V O I L T α M N
[104] Fig. 3.Δ A Φ G F N E M I D H L B C K O P Q Σ R T V X Y Z S Γ Δ Θ @
[105] Fig. 5.C B A D E
[106] Fig. 4.H C L E B A D F K G
[107] Fig. 6.L G C F M A H B E I D K
[108] Fig. 2.G C H B A Y L X P K V Q I O S R F D E N
[Figure 109]
[Figure 110]
[Figure 111]
[Figure 112]
[113] Pag. 542.Fig. 1.♃
[114] Fig. 2.♃
[115] Fig. 3.♂
[116] Fig. 5.25 Mart. 1655. * a b *
[117] Fig. 7.26 Mart. * a b *
[118] Fig. 4.
[119] Fig. 6.
[120] Pag. 550.TAB. XLV III.Fig. 1.* a * b 27. Mart. 1655.
[121] Fig. 2.a * 3. Apr.
[122] Fig. 3.* a c * 9. Apr.
[123] Fig. 4.* a * c 10. Apr.
[124] Fig. 5.* a c * 11. Apr.
[125] Fig. 6.* a c * 12. Apr.
[126] Fig. 7.* c 13. Apr.
[127] Fig. 8.a * 17. Apr.
[128] Fig. 9.* 19. Apr.
[129] Fig. 10.* 20. Apr.
[130] Fig. 11.* 21. Apr.
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          <p>
            <s xml:id="echoid-s1976" xml:space="preserve">
              <pb o="387" file="0101" n="108" rhead="DE CIRCULI MAGNIT. INVENTA."/>
            31415926538, major autem quam 31415926533 ad
              <lb/>
            10000000000.</s>
            <s xml:id="echoid-s1977" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1978" xml:space="preserve">Quos terminos ſi ex additis inſcriptorum & </s>
            <s xml:id="echoid-s1979" xml:space="preserve">circumſcripto-
              <lb/>
            rum polygonorum lateribus inquirendum eſſet ferè ad late-
              <lb/>
            rum quadringenta millia deveniendum. </s>
            <s xml:id="echoid-s1980" xml:space="preserve">Nam ex ſexagintan-
              <lb/>
            gulo inſcripto circumſcriptoque hoc tantum probatur, mi-
              <lb/>
            norem eſſe rationem peripheriæ ad diametrum quam 3145 ad
              <lb/>
            1000, majorem autem quam 3140. </s>
            <s xml:id="echoid-s1981" xml:space="preserve">Adeo ut triplum & </s>
            <s xml:id="echoid-s1982" xml:space="preserve">am-
              <lb/>
            plius verarum notarum numerum noſtro ratiocinio produ-
              <lb/>
            ctum appareat. </s>
            <s xml:id="echoid-s1983" xml:space="preserve">Idem vero in ulterioribus polygonis ſi quis
              <lb/>
            experiatur ſemper evenire cernet: </s>
            <s xml:id="echoid-s1984" xml:space="preserve">non ignota nobis ratione,
              <lb/>
            ſed quæ longiori explicatione indigeret.</s>
            <s xml:id="echoid-s1985" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1986" xml:space="preserve">Porro autem quomodo, datis quibuſcunque aliis inſcriptis,
              <lb/>
            arcuum quibus ſubtenduntur longitudo per hæc inveniri que-
              <lb/>
            at ſatis puto manifeſtum. </s>
            <s xml:id="echoid-s1987" xml:space="preserve">Si enim quadrati inſcripti latere
              <lb/>
            majores ſunt, longitudo arcus ad ſemicircumferentiam reli-
              <lb/>
            qui inquirenda eſt, cujus tum quoque ſubtenſa datur. </s>
            <s xml:id="echoid-s1988" xml:space="preserve">Sci-
              <lb/>
            endum autem & </s>
            <s xml:id="echoid-s1989" xml:space="preserve">dimidiorum arcuum ſubtenſas inveniri cum
              <lb/>
            totius arcus ſubtenſa data eſt. </s>
            <s xml:id="echoid-s1990" xml:space="preserve">Atque hâc ratione ſi biſectioni-
              <lb/>
            bus uti placebit, poterimus ad omnem ſubtenſam, arcus i-
              <lb/>
            pſius longitudinem quamlibet veræ propinquam non difficul-
              <lb/>
            ter cognoſcere. </s>
            <s xml:id="echoid-s1991" xml:space="preserve">Utile hoc ad ſinuum tabulas examinandas.
              <lb/>
            </s>
            <s xml:id="echoid-s1992" xml:space="preserve">Imo ad componendas quoque: </s>
            <s xml:id="echoid-s1993" xml:space="preserve">quia cognitâ arcus alicujus
              <lb/>
            ſubtenſâ, etiam ejus qui paulò major minorve ſit ſatis accu-
              <lb/>
            ratè definiri poteſt.</s>
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