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

Page concordance

< >
Scan Original
111 69
112 70
113 71
114 72
115
116
117
118 73
119 74
120 75
121 76
122
123
124
125 77
126 78
127 79
128 80
129 81
130 82
131
132
133
134 83
135 84
136 85
137 86
138
139
140
< >
page |< < (73) of 434 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div98" type="section" level="1" n="39">
          <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"/>
          </p>
        </div>
        <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
              <lb/>
            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-
              <lb/>
            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>
          </p>
        </div>
      </text>
    </echo>
Impressum