Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica

Table of figures

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[41] Fig. 2.D B G H C E F
[42] Fig. 4.E C G A F B D
[43] Fig. 3.E C D F G H I
[44] Fig. 5.B F R C P L M O
[45] Fig. 6.Y S H E K B C G F R A L D N P M Z X V T
[46] Fig. 7.G F D M L E A K C B H
[47] Pag. 386.TAB. XL.Fig. 2.K B H F G E A I D L C
[48] Fig. 1.L K E D H C A G B
[49] Fig. 3.B Q N L M F G S H K A D C P
[50] Fig. 4.B G R A C D E H F
[51] Fig. 6.A C D M B
[52] Fig. 5.A E N F B L D M C G H I K O
[Figure 53]
[Figure 54]
[55] Pag. 398.TAB. XLI.Fig. 1.S T B R K H Q C N O M A E L D
[56] Fig. 2.D E F B G H C A
[57] Fig. 3.F D E G A B C
[58] Fig. 4.G N B H D K A E C F
[59] Fig. 8K A F c C E B h H G D d
[60] Fig. 6.C E D A F B R Q
[61] Fig. 5.G L B H D O A E C K
[62] Fig. 7.K F A C D B E H G
[63] Pag. 404.TAB. XLII.Fig. 1.K F M A C D B L E N G
[64] Fig. 3.G R D B H F E N A X C M P Q K
[65] Fig. 2.K A F c S C L E B T G D R d
[66] Fig. 4.K e G P E m B D f R F S H M C A N L Q n
[67] Fig. 5.B C R E G A F M Q D O
[68] Fig. 6.B C H G E A M Q P K D
[69] Fig. 7.B C E G A M P Q K H D
[Figure 70]
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          <p>
            <s xml:id="echoid-s2853" xml:space="preserve">
              <pb o="418" file="0136" n="145" rhead="VERA CIRCULI"/>
            proportionalia, & </s>
            <s xml:id="echoid-s2854" xml:space="preserve">ex prædictis ſatis facile colligi poteſt
              <lb/>
            trapezium A I L P eſſe dimidium polygoni A B D L P & </s>
            <s xml:id="echoid-s2855" xml:space="preserve">
              <lb/>
            trapezium A I O P eſſe dimidium polygoni A B E I O P
              <lb/>
            & </s>
            <s xml:id="echoid-s2856" xml:space="preserve">triangulum A I P eſſe dimidium trapezii A B I P: </s>
            <s xml:id="echoid-s2857" xml:space="preserve">& </s>
            <s xml:id="echoid-s2858" xml:space="preserve">
              <lb/>
            proinde terminos duplicando, polygonum A B D L P, po-
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            lygonum A B E I O P & </s>
            <s xml:id="echoid-s2859" xml:space="preserve">trapezium A B I P ſunt continuè
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            proportionalia, quod demonſtrare oportuit.</s>
            <s xml:id="echoid-s2860" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2861" xml:space="preserve">Ducantur rectæ C G, K N, ſegmentum tangentes in
              <lb/>
            punctis E, O, & </s>
            <s xml:id="echoid-s2862" xml:space="preserve">rectis D L, D B, L P, occurrentes in
              <lb/>
            punctis C, G, K, N, ut compleatur polygonum
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            A B C G K N P.</s>
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          <head xml:id="echoid-head104" xml:space="preserve">PROP. V. THEOREMA.</head>
          <p style="it">
            <s xml:id="echoid-s2864" xml:space="preserve">Dico trapezium A B I P & </s>
            <s xml:id="echoid-s2865" xml:space="preserve">polygonum A B E I O P
              <lb/>
              <note position="left" xlink:label="note-0136-01" xlink:href="note-0136-01a" xml:space="preserve">TAB. XLIII.
                <lb/>
              Fig. 1. 2. 3.</note>
            ſimul, eße ad polygonum A B E I O P, ut
              <lb/>
            duplum polygoni A B E I O P ad poly-
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            gonum A B C G K N P.</s>
            <s xml:id="echoid-s2866" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s2867" xml:space="preserve">Ex hujus tertia manifeſtum eſt triangulum A B I & </s>
            <s xml:id="echoid-s2868" xml:space="preserve">tra-
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            pezium A B E I ſimul, eſſe ad trapezium A B E I,
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            ut duplum trapezii A B E Iad polygonum A B C G I: </s>
            <s xml:id="echoid-s2869" xml:space="preserve">& </s>
            <s xml:id="echoid-s2870" xml:space="preserve">
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            ex prædictis facile concludi poteſt triangulum A B I eſſe di-
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            midium trapezii A B I P, & </s>
            <s xml:id="echoid-s2871" xml:space="preserve">trapezium A B E I eſſe dimi-
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            dium polygoni A B E I O P, & </s>
            <s xml:id="echoid-s2872" xml:space="preserve">polygonum A B C G I
              <lb/>
            eſſe dimidium polygoni A B C G K N P; </s>
            <s xml:id="echoid-s2873" xml:space="preserve">& </s>
            <s xml:id="echoid-s2874" xml:space="preserve">proinde termi-
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            nos duplicando, trapezium A B I P & </s>
            <s xml:id="echoid-s2875" xml:space="preserve">polygonum A B E I O P
              <lb/>
            ſimul, erunt ad polygonum A B E I O P ut duplum polygo-
              <lb/>
            ni A B E I O P ad polygonum A B C G K N P, quod
              <lb/>
            demonſtrandum erat.</s>
            <s xml:id="echoid-s2876" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2877" xml:space="preserve">Hinc facile colligi poteſt polygonum A B C G K N P
              <lb/>
            eſſe medium harmonicum inter polygona A B E I O P,
              <lb/>
            A B D L P, quod hic admonuiſſe ſufficiat, in ſequentibus
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            enim demonſtrabitur.</s>
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