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

Table of figures

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[51] Fig. 2.E D A B C
[52] Fig. 3.E H C A D F G B
[53] Pag. 96.TAB. XII.Fig. 1.C E H A G K D B
[54] Fig. 2.N O L K B C M P G D A E F H
[55] Fig. 3.N M H G K O F L C D B E P A Q
[56] Fig. 4.A D F E G B C
[57] Pag. 104.TAB. XIII.Fig. 1.H E M A F K G B D
[58] Fig. 2.A F N E G B D
[59] Fig. 4.A G D C H E K F B
[60] Fig. 3.E B H X L D C A G D C
[61] Fig. 5.A D C G F E B H
[62] Pag. 106.TAB. XIV.Fig. 2.T B M S O I C A F K E L Q P N
[63] Fig. 1.E F K L A G H M C B D
[64] Fig. 3.I G E B P R Q A K C D H F
[65] Pag. 112.TAB. XV.Fig. 1.S D A B C E V
[66] Fig. 2.F A E B K G H N L D M O C
[67] Fig. 3.C D F A B K E G N H
[68] Fig. 5.S M A N B K X T P L F V O C Y D E G H
[69] Fig. 4.Y H A S B K T X F L V P O M N C D G E
[70] Pag. 114.TAB. XVI.Fig. 1.M F E A K G N H B D C
[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
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          <p>
            <s xml:id="echoid-s1398" xml:space="preserve">
              <pb o="66" file="0100" n="105" rhead="CHRISTIANI HUGENII"/>
            vel per C F. </s>
            <s xml:id="echoid-s1399" xml:space="preserve">Ergo in B duntaxat eam qua potuiſſet aſcen-
              <lb/>
              <note position="left" xlink:label="note-0100-01" xlink:href="note-0100-01a" xml:space="preserve">
                <emph style="sc">De de-</emph>
                <lb/>
                <emph style="sc">SCENSU</emph>
                <lb/>
                <emph style="sc">GRAVIUM</emph>
              .</note>
            dere per B F, hoc eſt, eandem quam acquireret deſcendendo
              <lb/>
            per F B. </s>
            <s xml:id="echoid-s1400" xml:space="preserve">Atqui in B habet velocitatem qua poteſt aſcende-
              <lb/>
            re uſque in A. </s>
            <s xml:id="echoid-s1401" xml:space="preserve">Ergo illa velocitate quam acquirit grave de-
              <lb/>
            ſcendendo per F B, poſſet aſcendere per B A, hoc eſt, al-
              <lb/>
            tius quam unde diſceſſerat, quod fieri non poteſt.</s>
            <s xml:id="echoid-s1402" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1403" xml:space="preserve">Eſt autem eadem prorſus demonſtratio quotcunque plana
              <lb/>
            fuerint per quæ mobile aſcendat. </s>
            <s xml:id="echoid-s1404" xml:space="preserve">Unde & </s>
            <s xml:id="echoid-s1405" xml:space="preserve">ſi infinita fuerit
              <lb/>
            planorum multitudo, hoc eſt, ſi ſuperficies aliqua curva
              <lb/>
            ponatur, per hanc quoque ad eam ex qua venit altitudinem
              <lb/>
            mobile aſſurget.</s>
            <s xml:id="echoid-s1406" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div80" type="section" level="1" n="33">
          <head xml:id="echoid-head55" xml:space="preserve">PROPOSITIO X.</head>
          <p style="it">
            <s xml:id="echoid-s1407" xml:space="preserve">SI mobile cadat perpendiculariter, vel per quam-
              <lb/>
            libet ſuperficiem deſcendat, ac rurſus impetu
              <lb/>
            concepto per quamlibet aliam feratur ſurſum, ha-
              <lb/>
            bebit aſcendendo ac deſcendendo in punctis æque al-
              <lb/>
            tis eandem ſemper velocitatem.</s>
            <s xml:id="echoid-s1408" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1409" xml:space="preserve">Ut ſi mobile ex altitudine A B decidens, motum deinde
              <lb/>
              <note position="left" xlink:label="note-0100-02" xlink:href="note-0100-02a" xml:space="preserve">TAB. IV.
                <lb/>
              Fig. 3.</note>
            continuet per ſuperficiem B C D, in qua punctum C ſit
              <lb/>
            pari altitudine atque in A B eſt punctum E. </s>
            <s xml:id="echoid-s1410" xml:space="preserve">Dico in C ean-
              <lb/>
            dem velocitatem ineſſe mobili atque in E fuerat.</s>
            <s xml:id="echoid-s1411" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1412" xml:space="preserve">Quum enim in C ea velocitas ſuperſit mobili qua porro
              <lb/>
            aſcendat usque ad D punctum, æque altum ac A : </s>
            <s xml:id="echoid-s1413" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0100-03" xlink:href="note-0100-03a" xml:space="preserve">Prop.
                <lb/>
              præced.</note>
            que & </s>
            <s xml:id="echoid-s1414" xml:space="preserve">ex deſcenſu per A E velocitatem eam acquirat qua,
              <lb/>
            converſo motu, aſcenſurum ſit per C D ; </s>
            <s xml:id="echoid-s1415" xml:space="preserve">Patet cum
              <note symbol="*" position="left" xlink:label="note-0100-04" xlink:href="note-0100-04a" xml:space="preserve">Prop.
                <lb/>
              præced.</note>
            venit ad C aſcendendo, eandem ipſum habere velocitatem,
              <lb/>
            quam habebat in E deſcendendo; </s>
            <s xml:id="echoid-s1416" xml:space="preserve">quod erat demonſtran-
              <lb/>
            dum.</s>
            <s xml:id="echoid-s1417" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div83" type="section" level="1" n="34">
          <head xml:id="echoid-head56" xml:space="preserve">PROPOSITIO XI.</head>
          <p style="it">
            <s xml:id="echoid-s1418" xml:space="preserve">SI mobile per ſuperficiem aliquam deorſum ten-
              <lb/>
            dat, ac deinde converſo motu ſurſum per </s>
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