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

Table of figures

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[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
[Figure 131]
[Figure 132]
[Figure 133]
[Figure 134]
[Figure 135]
[Figure 136]
[137] Pag. 248.TAB. XXVIII.Fig. 1.B A E D H F I G
[138] Fig. 2.M B A E D L N H F O I G
[139] Fig. 4.O P M I B G Q N L R H A F D
[140] Fig. 5.B A D L N H I
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          <p>
            <s xml:id="echoid-s1838" xml:space="preserve">
              <pb o="83" file="0125" n="134" rhead="HOROLOG. OSCILLATOR."/>
            inſuper eſt tangente V S, omnibusque partibus ſuis magis
              <lb/>
              <note position="right" xlink:label="note-0125-01" xlink:href="note-0125-01a" xml:space="preserve">
                <emph style="sc">De motu</emph>
                <lb/>
                <emph style="sc">IN CY-</emph>
                <lb/>
                <emph style="sc">CLOIDE</emph>
              .</note>
            erectus quam ulla pars tangentis V S. </s>
            <s xml:id="echoid-s1839" xml:space="preserve">Adeo ut omnino ma-
              <lb/>
            jus ſit futurum tempus per tangentem V S cum celeritate ex
              <lb/>
            B S, tempore per arcum B S poſt N B. </s>
            <s xml:id="echoid-s1840" xml:space="preserve">Similiter tempus
              <lb/>
            per tangentem M T, cum celeritate ex B T, majus erit
              <lb/>
            tempore per arcum S T poſt N S, & </s>
            <s xml:id="echoid-s1841" xml:space="preserve">tempus per tangen-
              <lb/>
            tem Π Y cum celeritate ex B Y, majus tempore per arcum
              <lb/>
            T Y poſt N T. </s>
            <s xml:id="echoid-s1842" xml:space="preserve">Atque ita tempora motuum æquabilium
              <lb/>
            per tangentes omnes usque ad infimam quæ tangit cycloi-
              <lb/>
            dem in E, cum celeritatibus per ſingulas quantæ acquirun-
              <lb/>
            tur cadendo ex B adusque punctum ipſarum contactus, ma-
              <lb/>
            jora ſimul erunt tempore per arcum B E poſt N B. </s>
            <s xml:id="echoid-s1843" xml:space="preserve">Eadem
              <lb/>
            vero & </s>
            <s xml:id="echoid-s1844" xml:space="preserve">minora eſſent, ut nunc oſtendemus.</s>
            <s xml:id="echoid-s1845" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1846" xml:space="preserve">Conſiderentur enim denuo tempora eadem motuum æqua-
              <lb/>
            bilium per tangentes cycloidis. </s>
            <s xml:id="echoid-s1847" xml:space="preserve">Et eſt quidem tempus per
              <lb/>
            tangentem V S cum celeritate ex B S, ad tempus per re-
              <lb/>
            ctam Β Λ cum celeritate dimidia ex F A, ut tangens cir-
              <lb/>
            cumferentiæ Δ Χ ad partem axis F P . </s>
            <s xml:id="echoid-s1848" xml:space="preserve">Similiterque
              <note symbol="*" position="right" xlink:label="note-0125-02" xlink:href="note-0125-02a" xml:space="preserve">Prop.
                <lb/>
              præced.</note>
            pus per tangentem M T, cum celeritate ex B T, ad tem-
              <lb/>
            pus per rectam Λ Ξ cum eadem dimidia celeritate ex F A,
              <lb/>
            ut tangens Γ Σ ad rectam P Q. </s>
            <s xml:id="echoid-s1849" xml:space="preserve">Atque ita deinceps ſingula
              <lb/>
            tempora per tangentes cycloidis, quæ ſunt eadem ſupradi-
              <lb/>
            ctis, erunt ad tempora motus æquabilis per partes ſibi re-
              <lb/>
            ſpondentes rectæ B I cum celeritate dimidia ex B Θ, ſicut
              <lb/>
            tangentes circumferentiæ F H, iisdem parallelis compre-
              <lb/>
            henſæ, ad partes rectæ F G ipſis reſpondentes.</s>
            <s xml:id="echoid-s1850" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1851" xml:space="preserve">Sunt igitur quantitates quædam rectæ F P, P Q, &</s>
            <s xml:id="echoid-s1852" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1853" xml:space="preserve">& </s>
            <s xml:id="echoid-s1854" xml:space="preserve">
              <lb/>
            totidem aliæ, tempora ſcilicet quibus percurruntur rectæ
              <lb/>
            Β Λ, Λ Ξ &</s>
            <s xml:id="echoid-s1855" xml:space="preserve">c, motu æquabili cum celeritate dimidia ex
              <lb/>
            Β Θ; </s>
            <s xml:id="echoid-s1856" xml:space="preserve">Et unaquæque quantitas in prioribus ad ſequentem ea-
              <lb/>
            dem proportione refertur, qua unaquæque poſteriorum ad
              <lb/>
            ſuam ſequentem; </s>
            <s xml:id="echoid-s1857" xml:space="preserve">ſunt enim utrobique inter ſe æquales. </s>
            <s xml:id="echoid-s1858" xml:space="preserve">Qui-
              <lb/>
            bus autem proportionibus priores quantitates ad alias quas-
              <lb/>
            dam, nempe ad tangentes circuli Δ Χ, Γ Σ, &</s>
            <s xml:id="echoid-s1859" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1860" xml:space="preserve">referun-
              <lb/>
            tur, iisdem proportionibus & </s>
            <s xml:id="echoid-s1861" xml:space="preserve">eodem ordine poſteriores quo-
              <lb/>
            que referuntur ad alias quasdam, nempe ad tempora </s>
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