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

Table of figures

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[81] Fig. 4.N Q K C Q D L R E P F A Q G M Q Q H B Q
[82] Pag. 136.TAB. XIX.Fig. 1.D C X B Y E R I Q L S N K P A TF G Y M H O
[83] Fig. 2.X C D A T E R I Q L S N K P B Y
[84] Fig. 3.F G K C D I E M A B D
[85] Fig. 4.D K E F L B A H G C E
[86] Fig. 5.D C K L F E A G H D B
[87] Fig. 6.C D K F L E H G A D B
[88] Pag. 142.TAB. XX.Fig. 1.D L F K A E G H C L K F D B
[89] Fig. 2.D F K L C H E G A K F L D B
[90] Fig. 3.L D C A E H G B L D
[91] Fig. 4.D L C E A X V G H L D B
[92] Fig. 5.T F K A V Q Z D E O B X P C Y f I G M L R N S H
[93] Fig. 6.K E A H C L D F G B
[94] Pag. 154.TAB. XXI.Fig. 1.G E G O A K L Q Q M M H F R R N N B D L K C P S V X Z Y X V T
[95] Fig. 3.F A D E B C G H
[96] Fig. 2.G E Ω O Ω S A S Q Q M M R R N X F N V P Φ Δ V B C K D Z
[97] Pag. 156.Fig. 2.S F Z V O V L A Q Q M M I R R N N X T X K E K Y H G P B C D
[98] Fig. 1.F H A E G B C
[99] Fig. 3.C B A E D
[100] Fig. 4.E F E D D D V O B A N C K H
[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
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          <p>
            <s xml:id="echoid-s1256" xml:space="preserve">
              <pb o="59" file="0091" n="95" rhead="HOROLOG. OSCILLATOR."/>
            aſcendet, quod ſimili parte temporis deſcendendo quoque
              <lb/>
              <note position="right" xlink:label="note-0091-01" xlink:href="note-0091-01a" xml:space="preserve">
                <emph style="sc">De de-</emph>
                <lb/>
                <emph style="sc">SCENSU</emph>
                <lb/>
                <emph style="sc">GRAVIUM</emph>
              .</note>
            tranſierat. </s>
            <s xml:id="echoid-s1257" xml:space="preserve">Hic vero rurſus celeritati tantum deceſſiſſe neceſſe
              <lb/>
            eſt quantum una temporis parte cadendo deorſum acquiritur,
              <lb/>
            hoc eſt celeritatem B D. </s>
            <s xml:id="echoid-s1258" xml:space="preserve">Itaque grave, ubi uſque ad B a-
              <lb/>
            ſcenderit, habet celeritatem ipſam B D reliquam, cum in E
              <lb/>
            habuerit celeritatem F E ipſius B D duplam. </s>
            <s xml:id="echoid-s1259" xml:space="preserve">Si ergo ex B
              <lb/>
            cum celeritate æquabili, quantam illic habet, ſurſum per-
              <lb/>
            geret, confecturum eſſet parte una temporis ſpatium æquale
              <lb/>
            ipſi D B, hoc eſt duplum A B. </s>
            <s xml:id="echoid-s1260" xml:space="preserve">Sed accedente gravitatis
              <lb/>
            actione, diminuitur aſcenſus iſte ſpatio quod ipſi A B æqua-
              <lb/>
            le ſit. </s>
            <s xml:id="echoid-s1261" xml:space="preserve">Igitur hac parte temporis aſcendet tantummodo per
              <lb/>
            ſpatium B A, quod etiam primo deſcenſus tempore trans-
              <lb/>
            ierat. </s>
            <s xml:id="echoid-s1262" xml:space="preserve">Atque in fine quidem extremi temporis hujus neceſſa-
              <lb/>
            rio grave in A puncto reperietur. </s>
            <s xml:id="echoid-s1263" xml:space="preserve">Sed dicetur forſan altius
              <lb/>
            aſcendiſſe quam ad A, atque inde eo relapſum eſſe. </s>
            <s xml:id="echoid-s1264" xml:space="preserve">At hoc
              <lb/>
            abſurdum eſſet, cum non poſſit, notu à gravitate profecto, al-
              <lb/>
            tius quam unde decidit aſcendere. </s>
            <s xml:id="echoid-s1265" xml:space="preserve">Porro quum celeritati quam
              <lb/>
            in B habebat rurſus deceſſerit celeritas B D, patet jam gra-
              <lb/>
            vi in A conſtituto nullam celeritatem ſupereſſe, ac proinde
              <lb/>
            non altius excurſurum. </s>
            <s xml:id="echoid-s1266" xml:space="preserve">Itaque oſtenſum eſt ad eandem unde
              <lb/>
            decidit altitudinem perveniſſe, & </s>
            <s xml:id="echoid-s1267" xml:space="preserve">ſingula ſpatia, quæ æqua-
              <lb/>
            libus deſcenſus temporibus tranſmiſerat, eadem totidem a-
              <lb/>
            ſcenſus temporibus remenſum eſſe: </s>
            <s xml:id="echoid-s1268" xml:space="preserve">ſed & </s>
            <s xml:id="echoid-s1269" xml:space="preserve">æqualibus tempo-
              <lb/>
            ribus æqualia ipſi deceſſiſſe celeritatis momenta apparuit. </s>
            <s xml:id="echoid-s1270" xml:space="preserve">Ergo
              <lb/>
            conſtat propoſitum.</s>
            <s xml:id="echoid-s1271" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1272" xml:space="preserve">Quia vero in demonſtratione propoſitionis ſecundæ, ex
              <lb/>
            qua pendet præcedens, adſumptum fuit certam quandam eſ-
              <lb/>
            ſe proportionem ſpatiorum quæ continuis æqualibus tempo-
              <lb/>
            ribus à gravi cadente transeuntur, quæque eadem ſit, quæ-
              <lb/>
            cunque æqualia tempora accipiantur; </s>
            <s xml:id="echoid-s1273" xml:space="preserve">quod quidem & </s>
            <s xml:id="echoid-s1274" xml:space="preserve">ex
              <lb/>
            rei natura ita ſe habere neceſſe eſt, & </s>
            <s xml:id="echoid-s1275" xml:space="preserve">ſi negetur, fatendum
              <lb/>
            fruſtra proportionem iſtorum ſpatiorum inveſtigari. </s>
            <s xml:id="echoid-s1276" xml:space="preserve">Tamen,
              <lb/>
            quia propoſitum etiam absque hoc demonſtrari poteſt, Ga-
              <lb/>
            lilei methodum ſequendo, operæ pretium erit demonſtra-
              <lb/>
            tionem, ab illo minus perfecte traditam, hic accuratius
              <lb/>
            conſcribere. </s>
            <s xml:id="echoid-s1277" xml:space="preserve">itaque rurſum hic demonſtrabimus.</s>
            <s xml:id="echoid-s1278" xml:space="preserve"/>
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