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

Table of figures

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[21] Fig. 5.B E D A C G F
[Figure 22]
[23] Pag. 340.TAB. XXXVII.Fig. 1.C G H F E DH A X Q Y T N V B G
[24] Fig. 3.γ A F D X B P N V E Q C
[25] Fig. 2.K C Δ R Θ Z O Γ D I
[26] Fig. 4.A B D C Π Φ N E S P F
[27] Fig. 2.M E Ψ Λ Φ S Ξ Π Ρ Σ Ω F L
[28] Fig. 5.K B Δ E Z A C R O D Θ Γ I
[Figure 29]
[Figure 30]
[Figure 31]
[32] Pag. 366.TAB.XXXVIII.Fig. 1.B E F G A D C
[33] Fig. 2.E F G B A C
[34] Fig. 3.B E D C A F
[35] Fig. 4.D G E F I B K M N H L A C
[36] Fig. 5.HD A B C
[37] Fig. 6.E D C B F G A
[38] Fig. 8.D E G B A F C
[39] Fig. 7.N G H I KE L M A P C O F B D
[40] Pag. 376.TAB. XXXIXFig. 1.E K C B A L H G D F
[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
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          <head xml:id="echoid-head43" xml:space="preserve">CHRISTIANI HUGENII,
            <lb/>
            <emph style="sc">Const. f</emph>
          .
            <lb/>
            <emph style="sc">DE</emph>
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          <head xml:id="echoid-head44" xml:space="preserve">CIRCULI MAGNITUDINE
            <lb/>
          INVENTA.</head>
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            <emph style="sc">Theorema</emph>
          I.
            <emph style="sc">Propositio</emph>
          I.</head>
          <p style="it">
            <s xml:id="echoid-s1147" xml:space="preserve">SI Circuli portioni, ſemicirculo minori, trian-
              <lb/>
            gulum maximum inſcribatur, & </s>
            <s xml:id="echoid-s1148" xml:space="preserve">portioni-
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            bus reliquis triangula ſimiliter inſcribantur,
              <lb/>
            erit triangulum primo deſcriptum duorum ſimul
              <lb/>
            quæ in portionibus reliquis deſcripta ſunt minus
              <lb/>
            quam quadruplum.</s>
            <s xml:id="echoid-s1149" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1150" xml:space="preserve">Eſto circuli portio A B C, ſemicirculo minor, cujus diameter
              <lb/>
              <note position="right" xlink:label="note-0065-01" xlink:href="note-0065-01a" xml:space="preserve">TAB. XXXVI@
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              Fig. 1.</note>
            B D; </s>
            <s xml:id="echoid-s1151" xml:space="preserve">maximum autem inſcriptum ſit triangulum A B C,
              <lb/>
            hoc eſt, quod baſin & </s>
            <s xml:id="echoid-s1152" xml:space="preserve">altitudinem habeat cum portione eandem.
              <lb/>
            </s>
            <s xml:id="echoid-s1153" xml:space="preserve">Et reliquis duabus portionibus inſcribantur triangula item ma-
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            xima A E B, B F C. </s>
            <s xml:id="echoid-s1154" xml:space="preserve">Dico triangulum A B C minus eſſe quam
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            quadruplum triangulorum A E B, B F C ſimul ſumpto-
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            rum. </s>
            <s xml:id="echoid-s1155" xml:space="preserve">Jungatur enim E F, quæ ſecet diametrum portionis
              <lb/>
            in puncto G. </s>
            <s xml:id="echoid-s1156" xml:space="preserve">Quoniam igitur arcus A B bifariam dividitur
              <lb/>
            in E puncto, erit utraque harum E A, E B, major dimi-
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            diâ A B. </s>
            <s xml:id="echoid-s1157" xml:space="preserve">Quamobrem quadratum A B minus erit quam qua-
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            druplum quadrati E B vel E A. </s>
            <s xml:id="echoid-s1158" xml:space="preserve">Sicut autem quadratum A B
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            ad quadr. </s>
            <s xml:id="echoid-s1159" xml:space="preserve">E B, ita eſt D B ad B G longitudine; </s>
            <s xml:id="echoid-s1160" xml:space="preserve">quia qua-
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            dratum quidem A B æquale eſt rectangulo quod à D B & </s>
            <s xml:id="echoid-s1161" xml:space="preserve">
              <lb/>
            circuli totius diametro continetur, quadratum vero E B æ-
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            quale rectangulo ſub eadem diametro & </s>
            <s xml:id="echoid-s1162" xml:space="preserve">recta B G. </s>
            <s xml:id="echoid-s1163" xml:space="preserve">Minor
              <lb/>
            igitur eſt B D quam quadrupla B G. </s>
            <s xml:id="echoid-s1164" xml:space="preserve">Sed & </s>
            <s xml:id="echoid-s1165" xml:space="preserve">A C minor
              <lb/>
            eſt quam dupla E F, quoniam hæc ipſi A B æquatur. </s>
            <s xml:id="echoid-s1166" xml:space="preserve">Er-
              <lb/>
            go patet triangulum A B C minus eſſe quam octuplum </s>
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