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

Table of figures

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[31] Fig. 5.A B F E D G C
[32] Fig. 6.A D G F B C
[33] Pag. 72.TAB. VII.Fig. 1.L B E N G F A K D C
[34] Fig. 2.A H L K M B E N Q P O C D
[35] Fig. 3.B F A K O N M E V L C H D
[36] Pag. 76.TAB. VIII.Fig. 1.O P E V D H C L M N A B F
[37] Fig. 2.A B C E H G F
[38] Fig. 3.D A B C E H G K F
[39] Fig. 4.A L C M B E G F
[40] Fig. 5.A B C D K F G
[41] Fig. 6.G E C K H F L D M N A O B Z
[42] Pag. 82.TAB. IX.Fig. 1.AMO FNP B G C H D K L
[43] Fig. 2.A C E F B D
[44] Fig. 3.C B e N L m E O M D f F A
[45] Fig. 4.C B E G F D f H b A
[46] Fig. 5.C V B E S Δ M O Λ H Φ G Π T N P I
[47] Pag. 86.TAB. X.Fig. 1.D C N F X B V P Δ Σ S M Λ Q Γ T Π Ξ Y G H E I R Φ O A Θ
[48] Fig. 2.D C F B P Θ S O N Q L Δ K Γ T Λ Π Σ Y Ψ Ξ G H E I ζ η X V R Ω A M Θ
[Figure 49]
[50] Pag. 92.TAB. XIFig. 1.D C F E B L H I K A G
[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
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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>
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        <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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