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

Table of figures

< >
[71] Pag. 450.TAB.XLIII.Fig. 4.B A F R P C D E G H I K S L M N O
[72] Fig. 1.F G I K D L E S T O C N H M V R B Q P A
[73] Fig. 2.F G I K D L E S T O C N V R B Q P A
[74] Fig. 5.A C B D E
[75] Fig. 3.A F G I K D L S T E O C N H M V R B Q P
[Figure 76]
[Figure 77]
[Figure 78]
[Figure 79]
[Figure 80]
[Figure 81]
[Figure 82]
[83] TAB. XLIV.Fig. 2.D H A B E F G
[84] Fig. 1.E G N L O I Q P D K M H F A
[85] Fig. 3.B E F A D G C
[86] I. CasusFig. 4.Y Q R C A B M L I K V C O S X
[87] II. CasusFig. 5.R C Y Q A B I L M K V O X S C
[88] III. CasusFig. 6.Q C D Y K L I N M S V B X C A G O
[89] Fig. 7.IV. CasusQ D C A B S L N X M I V Y K C G O
[Figure 90]
[91] Pag. 506.TAB. XLV.Fig. 1.C F D B
[92] Fig. 2.C B A E F
[93] Fig. 3.B b F f H c
[94] Fig. 4.C D B A E F G H
[95] Fig. 5.C b d D B E F G f g e
[96] Fig. 6.B G A C D
[Figure 97]
[Figure 98]
[Figure 99]
[Figure 100]
< >
page |< < (387) of 568 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div102" type="section" level="1" n="46">
          <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>
            <s xml:id="echoid-s1994" xml:space="preserve"/>
          </p>
          <figure number="53">
            <image file="0101-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0101-01"/>
          </figure>
        </div>
      </text>
    </echo>