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

Table of figures

< >
[71] Fig. 2.H A K B R P F L O M N D Q G E
[72] Fig. 3.Y H A S Z X T K B V L P F O C M N D G E
[Figure 73]
[74] Pag. 122TAB. XVII.Fig. 1.S A P B R M D I
[75] Fig. 2.H S Z K B C M D
[76] Fig. 3.P S Z M A B K D H
[77] Fig. 4.H C A E D F B G
[78] Pag. 128.TAB. XVIII.Fig. 1.A G C B D E H F K I M
[79] Fig. 2.A C G B E F D H M N O P
[80] Fig. 3.D L Q A G Q M R E P. Q B F N H Q C Q K Q
[81] Fig. 4.N Q K C Q D L R E P F A Q G M Q Q H B Q
[82] Pag. 136.TAB. XIX.Fig. 1.D C X B Y E R I Q L S N K P A TF G Y M H O
[83] Fig. 2.X C D A T E R I Q L S N K P B Y
[84] Fig. 3.F G K C D I E M A B D
[85] Fig. 4.D K E F L B A H G C E
[86] Fig. 5.D C K L F E A G H D B
[87] Fig. 6.C D K F L E H G A D B
[88] Pag. 142.TAB. XX.Fig. 1.D L F K A E G H C L K F D B
[89] Fig. 2.D F K L C H E G A K F L D B
[90] Fig. 3.L D C A E H G B L D
[91] Fig. 4.D L C E A X V G H L D B
[92] Fig. 5.T F K A V Q Z D E O B X P C Y f I G M L R N S H
[93] Fig. 6.K E A H C L D F G B
[94] Pag. 154.TAB. XXI.Fig. 1.G E G O A K L Q Q M M H F R R N N B D L K C P S V X Z Y X V T
[95] Fig. 3.F A D E B C G H
[96] Fig. 2.G E Ω O Ω S A S Q Q M M R R N X F N V P Φ Δ V B C K D Z
[97] Pag. 156.Fig. 2.S F Z V O V L A Q Q M M I R R N N X T X K E K Y H G P B C D
[98] Fig. 1.F H A E G B C
[99] Fig. 3.C B A E D
[100] Fig. 4.E F E D D D V O B A N C K H
< >
page |< < (136) of 434 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div265" type="section" level="1" n="99">
          <p>
            <s xml:id="echoid-s3071" xml:space="preserve">
              <pb o="136" file="0196" n="214" rhead="CHRISTIANI HUGENII"/>
            E A G, quia omnes F L æquales totidem G A . </s>
            <s xml:id="echoid-s3072" xml:space="preserve">Et
              <note position="left" xlink:label="note-0196-01" xlink:href="note-0196-01a" xml:space="preserve">
                <emph style="sc">Decentro</emph>
                <lb/>
                <emph style="sc">OSCILLA-</emph>
                <lb/>
                <emph style="sc">TIONIS</emph>
              .</note>
            que quadrata L F æquantur totidem rectangulis H A G , hoc eſt, totidem quadratis A G cum totidem rectangulis
              <lb/>
              <note symbol="*" position="left" xlink:label="note-0196-02" xlink:href="note-0196-02a" xml:space="preserve">Prop. 2.
                <lb/>
              huj.</note>
            A G H. </s>
            <s xml:id="echoid-s3073" xml:space="preserve">Ergo quadrata omnia F K æqualia erunt totidem
              <lb/>
              <note symbol="*" position="left" xlink:label="note-0196-03" xlink:href="note-0196-03a" xml:space="preserve">Prop.
                <lb/>
              præced.</note>
            quadratis E A, cum totidem duplis rectangulis E A G, at-
              <lb/>
            que inſuper totidem quadratis A G cum totidem rectangulis
              <lb/>
            A G H. </s>
            <s xml:id="echoid-s3074" xml:space="preserve">Atqui tria iſta; </s>
            <s xml:id="echoid-s3075" xml:space="preserve">nempe quadratum E A cum duplo
              <lb/>
            rectangulo E A G & </s>
            <s xml:id="echoid-s3076" xml:space="preserve">quadrato A G; </s>
            <s xml:id="echoid-s3077" xml:space="preserve">faciunt quadratum E G.
              <lb/>
            </s>
            <s xml:id="echoid-s3078" xml:space="preserve">Ergo apparet quadrata omnia F K æquari totidem quadratis
              <lb/>
            E G, una cum totidem rectangulis A G H. </s>
            <s xml:id="echoid-s3079" xml:space="preserve">Quod erat oſten-
              <lb/>
            dendum.</s>
            <s xml:id="echoid-s3080" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3081" xml:space="preserve">Porro in reliquis omnibus caſibus, quadrata omnia F K
              <lb/>
              <note position="left" xlink:label="note-0196-04" xlink:href="note-0196-04a" xml:space="preserve">TAB. XX.
                <lb/>
              Fig. 1. 2.</note>
            æquantur totidem quadratis K L, minus bis totidem rectan-
              <lb/>
            gulis K L F, plus totidem quadratis L F; </s>
            <s xml:id="echoid-s3082" xml:space="preserve">hoc eſt, toti-
              <lb/>
            dem quadratis E A, minus totidem duplis rectangulis E A G,
              <lb/>
            plus totidem quadratis A G, cum totidem rectangulis A G H.
              <lb/>
            </s>
            <s xml:id="echoid-s3083" xml:space="preserve">Atqui, omnibus hiſce caſibus, fit quadratum E A, plus qua-
              <lb/>
            drato A G, minus duplo rectangulo E A G, æquale qua-
              <lb/>
            drato E G. </s>
            <s xml:id="echoid-s3084" xml:space="preserve">Ergo rurſus quadrata omnia F K æqualia erunt
              <lb/>
            totidem quadratis E G, una cum totidem rectangulis A G H. </s>
            <s xml:id="echoid-s3085" xml:space="preserve">
              <lb/>
            Quare conſtat propoſitum.</s>
            <s xml:id="echoid-s3086" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3087" xml:space="preserve">Hinc ſequitur, rectangulum A G H eadem magnitudine
              <lb/>
            eſſe, utriusvis cunei ſubcentrica fuerit A H; </s>
            <s xml:id="echoid-s3088" xml:space="preserve">hoc eſt, ſive
              <lb/>
            per hanc, ſive per illam tangentium parallelarum A L ab-
              <lb/>
            ſciſſi. </s>
            <s xml:id="echoid-s3089" xml:space="preserve">Itaque A G unius caſus ad A G alterius, ut H G hu-
              <lb/>
            jus ad H G illius. </s>
            <s xml:id="echoid-s3090" xml:space="preserve">Sicut autem rectæ A G inter ſe, ita in
              <lb/>
            utroque caſu cunei per A L abſciſſi, ut colligitur ex prop. </s>
            <s xml:id="echoid-s3091" xml:space="preserve">7.
              <lb/>
            </s>
            <s xml:id="echoid-s3092" xml:space="preserve">huj. </s>
            <s xml:id="echoid-s3093" xml:space="preserve">Ergo ita quoque reciproce G H ad G H.</s>
            <s xml:id="echoid-s3094" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3095" xml:space="preserve">Apparet etiam, dato figuræ planæ centro gravitatis G, & </s>
            <s xml:id="echoid-s3096" xml:space="preserve">
              <lb/>
            ſubcene
              <unsure/>
            rica cunei, per alterutram tangentium parallelarum
              <lb/>
            A L abſciſſi, dari quoque cunei, pertangentem alteram A L
              <lb/>
            abſciſſi, ſubcentricam.</s>
            <s xml:id="echoid-s3097" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div269" type="section" level="1" n="100">
          <head xml:id="echoid-head126" xml:space="preserve">PROPOSITIO X.</head>
          <p style="it">
            <s xml:id="echoid-s3098" xml:space="preserve">Poſitis quæ in propoſitione præcedenti; </s>
            <s xml:id="echoid-s3099" xml:space="preserve">ſi data
              <lb/>
              <note position="left" xlink:label="note-0196-05" xlink:href="note-0196-05a" xml:space="preserve">TAB. XX.
                <lb/>
              Fig. 3.</note>
            recta E D transeat per G, centrum </s>
          </p>
        </div>
      </text>
    </echo>