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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            <s xml:id="echoid-s53" xml:space="preserve">
              <pb o="316" file="0016" n="16" rhead="THEOR. DE QUADRAT."/>
            minor erit dato ſpatio; </s>
            <s xml:id="echoid-s54" xml:space="preserve">ſit ea parallelogrammum B F, & </s>
            <s xml:id="echoid-s55" xml:space="preserve">di-
              <lb/>
            vidatur baſis A C in partes æquales ipſi D F, punctis
              <lb/>
            G, H, K &</s>
            <s xml:id="echoid-s56" xml:space="preserve">c. </s>
            <s xml:id="echoid-s57" xml:space="preserve">atque inde ducantur ad ſectionem rectæ
              <lb/>
            G L, H M, K N &</s>
            <s xml:id="echoid-s58" xml:space="preserve">c. </s>
            <s xml:id="echoid-s59" xml:space="preserve">diametro B D parallelæ, & </s>
            <s xml:id="echoid-s60" xml:space="preserve">perfi-
              <lb/>
            ciantur parallelogramma D O, G P, H Q, K R &</s>
            <s xml:id="echoid-s61" xml:space="preserve">c. </s>
            <s xml:id="echoid-s62" xml:space="preserve">Di-
              <lb/>
            co figuram ex omnibus iſtis parallelogrammis compoſitam
              <lb/>
            (quæ impoſterum ordinatè circumſcripta vocabitur) ſupera-
              <lb/>
            re portionem A B C minori quàm datum ſit ſpatio.</s>
            <s xml:id="echoid-s63" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s64" xml:space="preserve">Jungantur enim A N, N M, M L, L B, B S, &</s>
            <s xml:id="echoid-s65" xml:space="preserve">c.
              <lb/>
            </s>
            <s xml:id="echoid-s66" xml:space="preserve">eritque hac ratione inſcripta quoque portioni figura quædam
              <lb/>
            rectilinea; </s>
            <s xml:id="echoid-s67" xml:space="preserve">majorque erit exceſſus figuræ circumſcriptæ quæ
              <lb/>
            ex parallelogrammis compoſita eſt, ſuper inſcriptam, quàm
              <lb/>
            ſupra portionem A B C. </s>
            <s xml:id="echoid-s68" xml:space="preserve">Exceſſus autem circumſcriptæ ſuper
              <lb/>
            inſcriptam ex triangulis conſtat, quorum quæ ſunt ab una
              <lb/>
            diametri parte, ut A R N, N Q M, M P L, L O B,
              <lb/>
            æquantur dimidio parallelogrammi O D vel B F, quia ſin-
              <lb/>
            gulorum baſes baſi D F æquales ſunt, & </s>
            <s xml:id="echoid-s69" xml:space="preserve">omnium ſimul al-
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            titudo, parallelogrammi B F altitudini. </s>
            <s xml:id="echoid-s70" xml:space="preserve">Eâdem ratione trian-
              <lb/>
            gula qu& </s>
            <s xml:id="echoid-s71" xml:space="preserve">ſunt ab altera diametri parte, æquantur dimidio
              <lb/>
            parallelogrammi B F: </s>
            <s xml:id="echoid-s72" xml:space="preserve">Ergo omnia ſimul triangula ſive di-
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            ctus exceſſus æqualis eſt parallelogrammo B F, eóque mi-
              <lb/>
            nor ſpatio dato. </s>
            <s xml:id="echoid-s73" xml:space="preserve">Sed eodem exceſſu adhuc minor erat ex-
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            ceſſus figuræ circumſcriptæ ſupra portionem A B C: </s>
            <s xml:id="echoid-s74" xml:space="preserve">igitur
              <lb/>
            hic exceſſus dato ſpatio multo minor eſt. </s>
            <s xml:id="echoid-s75" xml:space="preserve">Et apparet fieri
              <lb/>
            poſſe quod proponebatur.</s>
            <s xml:id="echoid-s76" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div11" type="section" level="1" n="10">
          <head xml:id="echoid-head22" xml:space="preserve">
            <emph style="sc">Theorema</emph>
          II.</head>
          <p style="it">
            <s xml:id="echoid-s77" xml:space="preserve">DAtâ portione hyperboles, vel ellipſis vel circuli
              <lb/>
            portione, dimidiâ ellipſi dimidiove circulo non
              <lb/>
            majore, & </s>
            <s xml:id="echoid-s78" xml:space="preserve">dato triangulo qui baſin habeat baſi por-
              <lb/>
            tionis æqualem; </s>
            <s xml:id="echoid-s79" xml:space="preserve">poteſt utrique figura circumſcribi ex
              <lb/>
            parallelogrammis quorum ſit omnium eadem latitu-
              <lb/>
            do, ita ut uterque ſimulexceſſus quo figuræ circum-
              <lb/>
            ſcriptæ portionem & </s>
            <s xml:id="echoid-s80" xml:space="preserve">triangulum ſuperant, ſit minor
              <lb/>
            ſpatio quovis dato.</s>
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