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

Table of figures

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[Figure 1]
[Figure 2]
[Figure 3]
[4] Pag. 324.TAB. XXXIV.Fig. 1.O B E P L S Q M R N A K H G D F C
[5] Fig. 3.B Q P S O N R M E H K G A F D L C
[6] Fig. 2.B E A G M C D H R F K L
[7] Fig. 4.B M L K E A D F H C
[8] Fig. 5.B B A D C A D C E E
[9] Fig. 8.K G H M E F B L A D C
[10] Fig. 6.S E B P D
[11] Fig. 7.E S D P B
[12] Pag. 326.TAB. XXXV.Fig. 1.N H T Z Ψ G K X S Σ Α E Ξ Y F O L B Δ R P V C Q Ω D M
[13] Fig. 5.B L A C D F M G K E H
[14] Fig. 4.B L A C D F M G K H E
[15] Fig. 2.B Δ P R V C Q Ω D A L F O Y Ξ Α Σ X S G K Ψ Z T H E N M
[16] Fig. 3.B Δ P R V A D Ω Q C L F O Y Ξ Α Σ X S G K E Ψ Z T H E N M
[17] Pag. 328.Fig. 2.B L F A D C H E
[18] Fig. 1.B L F A D C H E
[19] Fig. 3.B E A D C
[20] Fig. 4.Q B H A F C E G R D K
[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]
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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-
              <lb/>
            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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