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

Table of figures

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[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
[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
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          <p>
            <s xml:id="echoid-s1216" xml:space="preserve">
              <pb o="57" file="0089" n="93" rhead="HOROLOG. OSCILLATOR."/>
            quadratum A B ad quadratum C D. </s>
            <s xml:id="echoid-s1217" xml:space="preserve">quare neceſſe eſt ut
              <lb/>
              <note position="right" xlink:label="note-0089-01" xlink:href="note-0089-01a" xml:space="preserve">
                <emph style="sc">De de-</emph>
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                <emph style="sc">SCENSU</emph>
                <lb/>
                <emph style="sc">@RAVIUM</emph>
              .</note>
            eandem habeat. </s>
            <s xml:id="echoid-s1218" xml:space="preserve">Porro cum celeritates in fine temporum A B,
              <lb/>
            C D acquiſitæ ſint inter ſe ſicut ipſamet tempora; </s>
            <s xml:id="echoid-s1219" xml:space="preserve">apparet
              <lb/>
            rationem ſpatiorum E ad F eandem quoque eſſe quæ qua-
              <lb/>
            dratorum temporum A B, C D, quibus transmiſſa ſunt.
              <lb/>
            </s>
            <s xml:id="echoid-s1220" xml:space="preserve">Itaque conſtat propoſitum.</s>
            <s xml:id="echoid-s1221" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div62" type="section" level="1" n="27">
          <head xml:id="echoid-head49" xml:space="preserve">PROPOSITIO IV.</head>
          <p style="it">
            <s xml:id="echoid-s1222" xml:space="preserve">SI grave celeritate ea quam in fine deſcenſus ac-
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            quiſivit ſurſum tendere cœperit, fiet ut paribus
              <lb/>
            temporis partibus, ſpatia quæ prius ſurſum, ea-
              <lb/>
            dem deorſum transeat, adeoque ad eandem unde
              <lb/>
            deſcenderat altitudinem aſcendat. </s>
            <s xml:id="echoid-s1223" xml:space="preserve">Item ut æquali-
              <lb/>
            bus temporis partibus æqualia amittat celeritatis
              <lb/>
            momenta.</s>
            <s xml:id="echoid-s1224" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">TAB. V.
            <lb/>
          Fig. 1.</note>
          <p>
            <s xml:id="echoid-s1225" xml:space="preserve">Sunto enim ut in propoſitione 2, ſpatia quotlibet, æqua-
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            libus temporis partibus cadendo è quiete peracta, quorum
              <lb/>
            primum A B; </s>
            <s xml:id="echoid-s1226" xml:space="preserve">ſecundum compoſitum ex B D, quod celeri-
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            tate æquabili acquiſita per A B tranſeundum erat, & </s>
            <s xml:id="echoid-s1227" xml:space="preserve">ex D E
              <lb/>
            ipſi A B æquali; </s>
            <s xml:id="echoid-s1228" xml:space="preserve">tertium compoſitum, ex E F, duplo
              <lb/>
            ipſius B D, & </s>
            <s xml:id="echoid-s1229" xml:space="preserve">ex F G, eidem A B æquali; </s>
            <s xml:id="echoid-s1230" xml:space="preserve">quartum com-
              <lb/>
            poſitum ex G H, triplo ipſius B D, & </s>
            <s xml:id="echoid-s1231" xml:space="preserve">ex H K ipſi itidem
              <lb/>
            A B æquali, atque eadem ratione porro creſcentia, ſi plu-
              <lb/>
            ra fuerint. </s>
            <s xml:id="echoid-s1232" xml:space="preserve">Dico totidem æqualibus temporibus eadem ſpatia
              <lb/>
            K G, G E, E B, B A, ſingula ſingulis peragenda eſſe à
              <lb/>
            gravi ſurſum tendente, atque incipiente cum celeritate in
              <lb/>
            fine deſcenſus K acquiſita.</s>
            <s xml:id="echoid-s1233" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1234" xml:space="preserve">Brevitatis autem gratia celeritas quæque deſignetur de-
              <lb/>
            inceps longitudine ſpatii quod grave motu æquabili, cum
              <lb/>
            celeritate illa, atque temporis parte una, quales in deſcen-
              <lb/>
            ſu conſideravimus, tranſmiſſurum eſſet.</s>
            <s xml:id="echoid-s1235" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1236" xml:space="preserve">Itaque ex oſtenſis dicta propoſitione, cum in K grave
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            pervenerit, habet celeritatem G H auctam celeritate B </s>
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