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="125" file="0183" n="200" rhead="HOROLOG. OSCILLATOR."/>
        </div>
        <div xml:id="echoid-div236" type="section" level="1" n="90">
          <head xml:id="echoid-head116" xml:space="preserve">PROPOSITIO II.</head>
          <note position="right" xml:space="preserve">
            <emph style="sc">De centro</emph>
            <lb/>
            <emph style="sc">OSCILLA-</emph>
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            <emph style="sc">TIONIS.</emph>
            <lb/>
          TAB. XVIII.
            <lb/>
          Fig. 1.</note>
          <p style="it">
            <s xml:id="echoid-s2845" xml:space="preserve">POſitis quæ prius, ſi pondera omnia A, B, C,
              <lb/>
            ſint æqualia; </s>
            <s xml:id="echoid-s2846" xml:space="preserve">dico ſummam omnium perpendi-
              <lb/>
            cularium A D, B E, C F, æquari perpendicula-
              <lb/>
            ri, à centro gravitatis ductæ, G H, multiplici
              <lb/>
            ſecundum ponderum numerum.</s>
            <s xml:id="echoid-s2847" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2848" xml:space="preserve">Quum enim ſumma productorum, à ponderibus ſingulis
              <lb/>
            in ſuas perpendiculares, æquetur producto ex G H in pon-
              <lb/>
            dera omnia; </s>
            <s xml:id="echoid-s2849" xml:space="preserve">ſitque hìc, propter ponderum æqualitatem,
              <lb/>
            ſumma illa productorum æqualis producto ex uno pondere
              <lb/>
            in ſummam omnium perpendicularium; </s>
            <s xml:id="echoid-s2850" xml:space="preserve">itemque productum
              <lb/>
            ex G H in pondera omnia, idem quod productum ex pon-
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            dere uno in G H, multiplicem ſecundum ponderum nume-
              <lb/>
            rum: </s>
            <s xml:id="echoid-s2851" xml:space="preserve">patet ſummam perpendicularium neceſſario jam æquari
              <lb/>
            ipſi G H, multiplici ſecundum ponderum numerum. </s>
            <s xml:id="echoid-s2852" xml:space="preserve">quod
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            erat demonſtrandum.</s>
            <s xml:id="echoid-s2853" xml:space="preserve"/>
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          <head xml:id="echoid-head117" xml:space="preserve">PROPOSITIO III.</head>
          <p style="it">
            <s xml:id="echoid-s2854" xml:space="preserve">SI magnitudines quædam deſcendant omnes, vel
              <lb/>
            aſcendant, licet inæqualibus intervallis; </s>
            <s xml:id="echoid-s2855" xml:space="preserve">alti-
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            tudines deſcenſus vel aſcenſus cujusque, in ipſam
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            magnitudinem ductæ, efficient ſummam producto-
              <lb/>
            rum æqualem ei, quæ fit ex altitudine deſcenſus
              <lb/>
            vel aſcenſus centri gravitatis omnium magnitudi-
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            num, ducta in omnes magnitudines.</s>
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          </p>
          <p>
            <s xml:id="echoid-s2857" xml:space="preserve">Sunto magnitudines A, B, C, quæ ex A, B, C, deſcen-
              <lb/>
              <note position="right" xlink:label="note-0183-02" xlink:href="note-0183-02a" xml:space="preserve">TAB. XVIII.
                <lb/>
              Fig. 2.</note>
            dant in D, E, F; </s>
            <s xml:id="echoid-s2858" xml:space="preserve">vel ex D, E, F, aſcendant in A, B, C.
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            </s>
            <s xml:id="echoid-s2859" xml:space="preserve">Sitque earum centrum gravitatis omnium, dum ſunt in
              <lb/>
            A, B, C, eadem altitudine cum puncto G; </s>
            <s xml:id="echoid-s2860" xml:space="preserve">cum vero ſunt in
              <lb/>
            D, E, F, eadem altitudine cum puncto H. </s>
            <s xml:id="echoid-s2861" xml:space="preserve">Dico ſummam
              <lb/>
            productorum ex altitudine A D in A, B E in B, C F in C,
              <lb/>
            æquari producto ex G H in omnes A, B, C.</s>
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