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

Table of figures

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[101] Fig. 5.D D D E F E B A C H K
[102] Pag. 160.Fig. 1.F D D @ N A L C H K M
[103] Fig. 2.D D D F B A L C H K
[104] Fig. 3.C A B
[105] Fig. 4.B A K C E D G
[106] G D E C A K B
[107] G D K C A B
[108] Fig. 5.K B K A C E D F
[109] Fig. 6.Q B Q O N A C E D R P F
[110] Pag. 164.Fig. 1.G B O N C R P F
[111] Fig. 2.G B R F
[112] Fig. 3.A E C F B
[113] Fig. 4.A C E D F B
[114] Fig. 6.A B C G D L
[115] Fig. 5.H A O M R L N
[116] Pag. 166.TAB.XXV.Fig. 1.A O C G D L N
[117] Fig. 2.A B C G D L N
[118] Fig. 3.O C D A K B N E F C D L M
[119] Fig. 4.O A C D F E K B N C L D M
[120] Fig. 5.E A G F H K B D C
[121] Pag. 170.TAB. XXVI.Fig. 1.Ω O Ω A Z R F R N E N R G S V P Φ Δ V B D K C
[122] Fig. 2.L O A V P Φ Δ V B E C S H D
[123] Fig. 3.F G E G P A P K K L B D B S
[Figure 124]
[Figure 125]
[126] Pag. 188.TAB.XXVII.Fig. 1.O V VA M N D N B O E CE A G B D C F
[127] Fig. 2.S Z G F H Y
[128] Fig. 3.D A D M T C
[129] Fig. 4.A E N D C
[130] Fig. 5.K D B G A F E H
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          <pb o="73" file="0111" n="118" rhead="HOROLOG. OSCILLATOR."/>
        </div>
        <div xml:id="echoid-div100" type="section" level="1" n="40">
          <head xml:id="echoid-head62" xml:space="preserve">PROPOSITIO XVII.</head>
          <note position="right" xml:space="preserve">
            <emph style="sc">De motu</emph>
            <lb/>
            <emph style="sc">IN</emph>
            <emph style="sc">Cy-</emph>
            <lb/>
            <emph style="sc">CLOIDE</emph>
          .</note>
          <p style="it">
            <s xml:id="echoid-s1597" xml:space="preserve">IIsdem poſitis, ſi tertia recta prioribus parallela
              <lb/>
              <note position="right" xlink:label="note-0111-02" xlink:href="note-0111-02a" xml:space="preserve">TAB. VIII.
                <lb/>
              Fig. 3.</note>
            D K, circulum ſecuerit, quæ ab ea quæ centro
              <lb/>
            propior eſt A F, tantundem diſtet quantum hæc à
              <lb/>
            reliqua B G: </s>
            <s xml:id="echoid-s1598" xml:space="preserve">dico partem tangentis in A, à pa-
              <lb/>
            rallela ultimo adjecta, & </s>
            <s xml:id="echoid-s1599" xml:space="preserve">media interceptam, nem-
              <lb/>
            pe A D, arcu A C à primis duabus parallelis in-
              <lb/>
            tercepto minorem eſſe.</s>
            <s xml:id="echoid-s1600" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1601" xml:space="preserve">Hoc enim patet quum A D ipſi A B æqualis ſit, quam
              <lb/>
            antea oſtendimus arcu A C minorem eſſe.</s>
            <s xml:id="echoid-s1602" xml:space="preserve"/>
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        <div xml:id="echoid-div102" type="section" level="1" n="41">
          <head xml:id="echoid-head63" xml:space="preserve">PROPOSITIO XVIII.</head>
          <p style="it">
            <s xml:id="echoid-s1603" xml:space="preserve">SI circulum, cujus centrum E, duæ rectæ paral-
              <lb/>
              <note position="right" xlink:label="note-0111-03" xlink:href="note-0111-03a" xml:space="preserve">TAB. VIII.
                <lb/>
              Fig. 4.</note>
            lelæ ſecuerint A F, B G; </s>
            <s xml:id="echoid-s1604" xml:space="preserve">& </s>
            <s xml:id="echoid-s1605" xml:space="preserve">à puncto B, ubi
              <lb/>
            quæ à centro remotior eſt, vel tantundem atque
              <lb/>
            altera diſtat, circumferentiæ occurrit, ducatur
              <lb/>
            recta circumferentiam tangens: </s>
            <s xml:id="echoid-s1606" xml:space="preserve">erit pars hujus
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            B A, à parallelis intercepta, major arcu ab iis-
              <lb/>
            dem parallelis intercepto B C.</s>
            <s xml:id="echoid-s1607" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1608" xml:space="preserve">Ducatur enim in puncto C, recta M C L circumferentiam
              <lb/>
            tangens, quæ occurrat tangenti B A in L. </s>
            <s xml:id="echoid-s1609" xml:space="preserve">In triangulo igi-
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            tur A C L, angulus C æqualis eſt angulo M C F, hoc eſt,
              <lb/>
            ei quem capit portio circuli C B F. </s>
            <s xml:id="echoid-s1610" xml:space="preserve">angulus autem A æqua-
              <lb/>
            tur angulo quem capit portio circuli B C G, quæ portio
              <lb/>
            quum ſit major vel æqualis portioni C B F, quippe quum
              <lb/>
            B G vel ulterius diſtet à centro quam C F, vel tantun-
              <lb/>
            dem: </s>
            <s xml:id="echoid-s1611" xml:space="preserve">erit proinde trianguli A C L angulus A minor vel
              <lb/>
            æqualis angulo C: </s>
            <s xml:id="echoid-s1612" xml:space="preserve">& </s>
            <s xml:id="echoid-s1613" xml:space="preserve">conſequenter latus C L vel minus
              <lb/>
            vel æquale lateri A L. </s>
            <s xml:id="echoid-s1614" xml:space="preserve">Atqui C L una cum L B majores
              <lb/>
            ſunt arcu C B. </s>
            <s xml:id="echoid-s1615" xml:space="preserve">Ergo & </s>
            <s xml:id="echoid-s1616" xml:space="preserve">A L una cum L B, hoc eſt, </s>
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