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="64" file="0096" n="100" rhead="CHRISTIANI HUGENII"/>
          <p>
            <s xml:id="echoid-s1354" xml:space="preserve">Sint plana inclinata A C, A D quorum eadem elevatio
              <lb/>
              <note position="left" xlink:label="note-0096-01" xlink:href="note-0096-01a" xml:space="preserve">
                <emph style="sc">De de-</emph>
                <lb/>
                <emph style="sc">SCENSU</emph>
                <lb/>
                <emph style="sc">GRAVIUM</emph>
              .</note>
            A B. </s>
            <s xml:id="echoid-s1355" xml:space="preserve">dico tempus deſcenſus per planum A C ad tempus
              <lb/>
              <note position="left" xlink:label="note-0096-02" xlink:href="note-0096-02a" xml:space="preserve">TAB. V.
                <lb/>
              Fig. 5.</note>
            deſcenſus per A D eſſe ut longitudo A C ad A D. </s>
            <s xml:id="echoid-s1356" xml:space="preserve">Eſt enim
              <lb/>
            tempus per A C æquale tempori motus æquabilis per ean-
              <lb/>
            dem A C, cum celeritate dimidia ejus quæ acquiritur caſu
              <lb/>
            per A C . </s>
            <s xml:id="echoid-s1357" xml:space="preserve">Similiter tempus per A D eſt æquale
              <note symbol="*" position="left" xlink:label="note-0096-03" xlink:href="note-0096-03a" xml:space="preserve">Prop. 1.
                <lb/>
              huj.</note>
            motus æquabilis per ipſam A D, cum dimidia celeritate ejus
              <lb/>
            quæ acquiritur caſu per A D. </s>
            <s xml:id="echoid-s1358" xml:space="preserve">Eſt autem hæc dimidia celeri-
              <lb/>
            tas illi dimidiæ celerirati æqualis , ideoque dictum
              <note symbol="*" position="left" xlink:label="note-0096-04" xlink:href="note-0096-04a" xml:space="preserve">Prop.
                <lb/>
              præced.</note>
            motus æquabilis per A C, ad tempus motus æquabilis per A D,
              <lb/>
            erit ut A C ad A D. </s>
            <s xml:id="echoid-s1359" xml:space="preserve">Ergo & </s>
            <s xml:id="echoid-s1360" xml:space="preserve">tempora ſingulis iſtis æqualia,
              <lb/>
            nimirum tempus deſcenſus per A C, ad tempus deſcenſus
              <lb/>
            per A D, eandem rationem habebunt, nempe quam A C
              <lb/>
            ad A D. </s>
            <s xml:id="echoid-s1361" xml:space="preserve">quod erat demonſtrandum.</s>
            <s xml:id="echoid-s1362" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1363" xml:space="preserve">Eodem modo oſtendetur & </s>
            <s xml:id="echoid-s1364" xml:space="preserve">tempus deſcenſus per A C, ad
              <lb/>
            tempus caſus per A B perpendicularem, eſſe ut A C ad
              <lb/>
            A B longitudine.</s>
            <s xml:id="echoid-s1365" xml:space="preserve"/>
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          <head xml:id="echoid-head53" xml:space="preserve">PROPOSITIO VIII.</head>
          <p style="it">
            <s xml:id="echoid-s1366" xml:space="preserve">SI ex altitudine eadem deſcendat mobile conti-
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            nuato motu per quotlibet ac quælibet plana con-
              <lb/>
            tigua, utcunque inclinata; </s>
            <s xml:id="echoid-s1367" xml:space="preserve">ſemper eandem in fine
              <lb/>
            velocitatem acquiret, quæ nimirum æqualis erit ei
              <lb/>
            quam acquireret cadendo perpendiculariter ex pa-
              <lb/>
            ri altitudine.</s>
            <s xml:id="echoid-s1368" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1369" xml:space="preserve">Sint plana contigua A B, B C, C D, quorum terminus
              <lb/>
              <note position="left" xlink:label="note-0096-05" xlink:href="note-0096-05a" xml:space="preserve">TAB VI.
                <lb/>
              Fig. 1.</note>
            A, ſupra horizontalem lineam D F per infimum terminum
              <lb/>
            D ductam, altitudinem habeat quanta eſt perpendicularis E F.
              <lb/>
            </s>
            <s xml:id="echoid-s1370" xml:space="preserve">deſcendatque mobile per plana illa ab A uſque in D. </s>
            <s xml:id="echoid-s1371" xml:space="preserve">Di-
              <lb/>
            co in D eam velocitatem habiturum quam, ex E cadens, ha-
              <lb/>
            beret in F.</s>
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            <s xml:id="echoid-s1373" xml:space="preserve">Producta enim C B occurrat rectæ A E in G. </s>
            <s xml:id="echoid-s1374" xml:space="preserve">Itemque
              <lb/>
            D C producta occurrat eidem A E in E. </s>
            <s xml:id="echoid-s1375" xml:space="preserve">Quoniam </s>
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