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

Table of figures

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[Figure 11]
[Figure 12]
[13] Pag. 46.TAB.II.Fig. 1.A Y B P N Q L L M T λ K 15 Z I 24 H S R G 8 48 F 48 48 8 V E λ C 72 D 30 ß 80 θ ε ε θ ß V γ ζ D C Δ 9 γ 30 δ A B Y X
[14] Fig. 2.Fig. 4.Fig. 3.B 2′ 30″ 4″ 3′ 30″ 15″ 4″ 1′ 30″ 15″ 45″ d 30″ 15″ e 15″ c C 2′ 3′ b A a f g
[15] Pag. 48.TAB. III.Fig. 1.A B G C K H M D I L E
[16] Fig. 2.K N M I P
[17] Fig. 3.A G C N O H D P Q R S I E T V K F B L M X Y Z Δ
[Figure 18]
[19] Pag. 52.TAB. IV.Fig. 1.N H G E F D C A K L L B
[20] Fig. 2.A B E F D C L
[21] Fig. 3.D D D E E E D E C D B E D E D D D E E E
[22] Pag. 64.TAB. V.Fig. 1.A B D E F G H K
[23] Fig. 2.C A G H B D K L E F
[24] Fig. 3.A B M C K D E O F G P H L
[25] Fig. 4.A C F E B D
[26] Fig. 5.A C D B
[27] Pag. 68.TAB. VI.Fig. 1.A G E B C D F
[28] Fig. 2.A E F H G D C B
[29] Fig. 3.D A E C B
[30] Fig. 4.A C B
[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
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            <s xml:id="echoid-s1321" xml:space="preserve">
              <pb o="62" file="0094" n="98" rhead="CHRISTIANI HUGENII"/>
            P ſuperat triangulum A H L, erit igitur neceſſario figura
              <lb/>
              <note position="left" xlink:label="note-0094-01" xlink:href="note-0094-01a" xml:space="preserve">
                <emph style="sc">De de-</emph>
                <lb/>
                <emph style="sc">SCENSU</emph>
                <lb/>
                <emph style="sc">GRAVIUM</emph>
              .</note>
            circumſcripta minor plano P. </s>
            <s xml:id="echoid-s1322" xml:space="preserve">Conſtat jam, prima temporis
              <lb/>
            parte A C, minus ſpatium à mobili transmitti quam ſit B C,
              <lb/>
            quia hoc percurreretur eodem tempore A C cum celeritate
              <lb/>
            æquabili C K, quam demum in fine temporis A C mobile
              <lb/>
            adeptum eſt. </s>
            <s xml:id="echoid-s1323" xml:space="preserve">Similiter ſecunda parte temporis C E, minus
              <lb/>
            ſpatium motu accelerato transmittetur quam ſit D E, quia
              <lb/>
            hoc percurreretur eodem tempore C E, cum celeritate æ-
              <lb/>
            quabili E O, quam demum in fine temporis C E mobile aſ-
              <lb/>
            ſequitur. </s>
            <s xml:id="echoid-s1324" xml:space="preserve">Atque ita deinceps, ſingulis partibus temporis
              <lb/>
            A H, minora ſpatia à mobili trajicientur quam ſunt rectan-
              <lb/>
            gula figuræ circumſcriptæ, ipſis partibus adjacentia. </s>
            <s xml:id="echoid-s1325" xml:space="preserve">Quare
              <lb/>
            totum ſpatium motu accelerato peractum, minus erit ipſa fi-
              <lb/>
            gura circumſcripta. </s>
            <s xml:id="echoid-s1326" xml:space="preserve">Spatium vero illud æquale poſitum fuit
              <lb/>
            plano P; </s>
            <s xml:id="echoid-s1327" xml:space="preserve">ergo planum P minus quoque erit figura circum-
              <lb/>
            ſcripta. </s>
            <s xml:id="echoid-s1328" xml:space="preserve">quod eſt abſurdum, cum figura hæc plano P minor
              <lb/>
            oſtenſa fuerit. </s>
            <s xml:id="echoid-s1329" xml:space="preserve">Ergo planum P non majus eſt triangulo A H L,
              <lb/>
            ſed nec minus eſſe jam oſtenſum fuit. </s>
            <s xml:id="echoid-s1330" xml:space="preserve">Ergo æquale ſit neceſ-
              <lb/>
            ſe eſt; </s>
            <s xml:id="echoid-s1331" xml:space="preserve">quod erat demonſtrandum.</s>
            <s xml:id="echoid-s1332" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1333" xml:space="preserve">Et hæc quidem omnia quæ hactenus demonſtrata ſunt,
              <lb/>
            gravibus per plana inclinata deſcendentibus atque aſcenden-
              <lb/>
            tibus æque ac perpendiculariter motis convenire ſciendum
              <lb/>
            eſt: </s>
            <s xml:id="echoid-s1334" xml:space="preserve">cum, quæ de effectu gravitatis poſita fuerunt, eadem
              <lb/>
            ratione utrobique ſint admittenda.</s>
            <s xml:id="echoid-s1335" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1336" xml:space="preserve">Hinc vero non difficile jam erit demonſtrare propoſitionem
              <lb/>
            ſequentem quam concedi ſibi, ut quodammodo per ſe ma-
              <lb/>
            nifeſtam, Galileus poſtulavit. </s>
            <s xml:id="echoid-s1337" xml:space="preserve">nam demonſtratio illa quam
              <lb/>
            poſtea adferre conatus eſt, quæque in poſteriori operum
              <lb/>
            ejus editione extat, parum firma meo quidem judicio vide-
              <lb/>
            tur. </s>
            <s xml:id="echoid-s1338" xml:space="preserve">Eſt autem propoſitio hujusmodi.</s>
            <s xml:id="echoid-s1339" xml:space="preserve"/>
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        <div xml:id="echoid-div69" type="section" level="1" n="29">
          <head xml:id="echoid-head51" xml:space="preserve">PROPOSITIO VI.</head>
          <p style="it">
            <s xml:id="echoid-s1340" xml:space="preserve">CEleritates gravium, ſuper diverſis planorum
              <lb/>
            inclinationibus deſcendendo acquiſitæ, æquales
              <lb/>
            ſunt, ſi planorum elevationes fuerint æquales.</s>
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