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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              <pb o="167" file="0241" n="266" rhead="HOROLOG. OSCILLATOR."/>
            numerum particularum ſolidi A B C, æquale quadratis di-
              <lb/>
              <note position="right" xlink:label="note-0241-01" xlink:href="note-0241-01a" xml:space="preserve">
                <emph style="sc">De centro</emph>
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                <emph style="sc">OSCILLA-</emph>
                <lb/>
                <emph style="sc">TIONIS.</emph>
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            ſtantiarum à plano A D . </s>
            <s xml:id="echoid-s3793" xml:space="preserve">Apparet autem, fieri ſpatium
              <note symbol="*" position="right" xlink:label="note-0241-02" xlink:href="note-0241-02a" xml:space="preserve">Prop. 15.
                <lb/>
              huj.</note>
            æquale {1/20} quadrati B C.</s>
            <s xml:id="echoid-s3794" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3795" xml:space="preserve">Itaque, totum ſpatium applicandum, æquatur hic {3/80} qua-
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            drati A D, cum {1/20} quadrati B C. </s>
            <s xml:id="echoid-s3796" xml:space="preserve">Unde, ſi ſuſpenſio, ut
              <lb/>
            hic, poſita fuerit in A, vertice pyramidis, ideoque diſtan-
              <lb/>
            tia, ad quam applicatio facienda, A E æqualis {3/4} A D; </s>
            <s xml:id="echoid-s3797" xml:space="preserve">fiet
              <lb/>
            hinc E S, intervallum quo centrum agitationis inferius eſt
              <lb/>
            centro gravitatis, æquale {1/20} A D, atque inſuper {1/15} tertiæ
              <lb/>
            proportionalis duabus A D, B C. </s>
            <s xml:id="echoid-s3798" xml:space="preserve">ſive tota A S æqualis {4/5}
              <lb/>
            A D, præter dictam {1/15} tertiæ proportionialis.</s>
            <s xml:id="echoid-s3799" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div348" type="section" level="1" n="123">
          <head xml:id="echoid-head149" style="it" xml:space="preserve">Centrum oſcillationis Coni.</head>
          <p>
            <s xml:id="echoid-s3800" xml:space="preserve">Quod ſi A B C conus fuerit, omnia eodem modo @e habe-
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            bunt, niſi quod ſpatium Z hic fit æquale rectangulo Δ Ρ Φ
              <note symbol="*" position="right" xlink:label="note-0241-03" xlink:href="note-0241-03a" xml:space="preserve">Prop. 15.
                <lb/>
              huj.</note>
            hoc eſt {3/2@} quadrati P V vel B D, ſive {3/80} quadrati B C.
              <lb/>
            </s>
            <s xml:id="echoid-s3801" xml:space="preserve">Quare, totum ſpatium applicandum, in cono erit {3/80} qua-
              <lb/>
            drati A D, una cum {3/80} quadrati B C. </s>
            <s xml:id="echoid-s3802" xml:space="preserve">Ac proinde, poſita
              <lb/>
            ſuſpenſione ex vertice A, fiet E S, qua centrum agitationis
              <lb/>
            inferius eſt centro gravitatis, æqualis {1/20} A D, & </s>
            <s xml:id="echoid-s3803" xml:space="preserve">{1/20} tertiæ
              <lb/>
            proportionalis duabus A D, B C. </s>
            <s xml:id="echoid-s3804" xml:space="preserve">ſive tota A S æqualis {4/5}
              <lb/>
            A D, una cum {1/5} tertiæ proportionalis duabus A D, D B. </s>
            <s xml:id="echoid-s3805" xml:space="preserve">
              <lb/>
            Atque hinc manifeſtum eſt, ſi A D, D B æquales ſint, hoc
              <lb/>
            eſt, ſi conus A B C ſit rectangulus, fieri A S æqualem axi
              <lb/>
            A D.</s>
            <s xml:id="echoid-s3806" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3807" xml:space="preserve">Sequitur quoque porro, ex propoſitione 20, conum hunc
              <lb/>
            rectangulum, ſi ex D centro baſeos ſuſpendatur, iſochro-
              <lb/>
            num fore ſibi ipſi ex vertice A ſuſpenſo, quemadmodum & </s>
            <s xml:id="echoid-s3808" xml:space="preserve">
              <lb/>
            de triangulo rectangulo ſupra oſtenſum fuit.</s>
            <s xml:id="echoid-s3809" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div350" type="section" level="1" n="124">
          <head xml:id="echoid-head150" style="it" xml:space="preserve">Centrum oſcillationis Sphæræ.</head>
          <p>
            <s xml:id="echoid-s3810" xml:space="preserve">Si A B C ſit ſphæra, erit figura plana proportionalis, à
              <lb/>
              <note position="right" xlink:label="note-0241-04" xlink:href="note-0241-04a" xml:space="preserve">TAB. XXVI.
                <lb/>
              Fig. 2.</note>
            latere adponenda, O V H, ex parabolis compoſita, qua-
              <lb/>
            rum baſis communis O H, æqualis ſphæræ diametro A D.
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            </s>
            <s xml:id="echoid-s3811" xml:space="preserve">Sectâ vero ſphærâ planis per centrum E, quorum B C </s>
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