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

Table of figures

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[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]
[71] Pag. 450.TAB.XLIII.Fig. 4.B A F R P C D E G H I K S L M N O
[72] Fig. 1.F G I K D L E S T O C N H M V R B Q P A
[73] Fig. 2.F G I K D L E S T O C N V R B Q P A
[74] Fig. 5.A C B D E
[75] Fig. 3.A F G I K D L S T E O C N H M V R B Q P
[Figure 76]
[Figure 77]
[Figure 78]
[Figure 79]
[Figure 80]
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            <s xml:id="echoid-s234" xml:space="preserve">
              <pb o="322" file="0022" n="22" rhead="THEOR. DE QUADRAT."/>
            ita eſt quadratum Z Y ad Λ Y quadratum. </s>
            <s xml:id="echoid-s235" xml:space="preserve">Quare & </s>
            <s xml:id="echoid-s236" xml:space="preserve">per con-
              <lb/>
            verſionem rationis, ſicut rectangulum B D E ad differenti-
              <lb/>
            am rectangulorum B D E, B P E, ita quadratum Z Y ad
              <lb/>
            differentiam quadratorum Z Y, Λ Y. </s>
            <s xml:id="echoid-s237" xml:space="preserve">Eſt autem differentia
              <lb/>
            rectangulorum B D E, B P E, æqualis rectangulo S D P,
              <lb/>
            ſicut lemmate præmiſſo demonſtratum eſt; </s>
            <s xml:id="echoid-s238" xml:space="preserve">differentia verò
              <lb/>
            quadratorum Z Y, Λ Y, æqualis quadrato Z Λ & </s>
            <s xml:id="echoid-s239" xml:space="preserve">duobus
              <lb/>
            rectangulis Z Λ Y , ſive quod idem eſt, rectangulis Z Λ
              <note symbol="3" position="left" xlink:label="note-0022-01" xlink:href="note-0022-01a" xml:space="preserve">4. lib. 2.
                <lb/>
              Elem.</note>
            Z Λ Y bis ſumptis, hoc eſt, duplo rectangulo ſub Z Λ,
              <lb/>
            X Y. </s>
            <s xml:id="echoid-s240" xml:space="preserve">Itaque ſicut eſt rectangulum B D E ad rectangulum
              <lb/>
            S D P, ita quadratum Z Y ad duplum rectangulum ſub
              <lb/>
            X Y, Z Λ. </s>
            <s xml:id="echoid-s241" xml:space="preserve">quare cum rectangulum B D E quadrato F G
              <lb/>
            æquale ſit , ideoque & </s>
            <s xml:id="echoid-s242" xml:space="preserve">quadrato Z Y, erit quoque
              <note symbol="4" position="left" xlink:label="note-0022-02" xlink:href="note-0022-02a" xml:space="preserve">Ex conſtr.</note>
            gulum S D P æquale duplo rectangulo ſub X Y, Z Λ .</s>
            <s xml:id="echoid-s243" xml:space="preserve">
              <note symbol="5" position="left" xlink:label="note-0022-03" xlink:href="note-0022-03a" xml:space="preserve">14. 5. E-
                <lb/>
              lem.</note>
            Quia verò F punctum dividit B E per medium, ſuntque
              <lb/>
            æquales B P, E S, etiam F P, F S æquales erunt, unde
              <lb/>
            additi utrique F D, erit S D æqualis toti P F D id eſt
              <lb/>
            Δ Y Ω: </s>
            <s xml:id="echoid-s244" xml:space="preserve">ſed Δ Y Ω dupla eſt lineæ V Y, quia bis continet
              <lb/>
            utramque Y Δ, Δ V in hyperbole, in ellipſi verò & </s>
            <s xml:id="echoid-s245" xml:space="preserve">circulo
              <lb/>
            bis utramque V Ω & </s>
            <s xml:id="echoid-s246" xml:space="preserve">Ω Y; </s>
            <s xml:id="echoid-s247" xml:space="preserve">ergo & </s>
            <s xml:id="echoid-s248" xml:space="preserve">S D dupla V Y, ideo-
              <lb/>
            que rectangulum S D P æquale duplo rectangulo ſub Y V,
              <lb/>
            Ω Δ. </s>
            <s xml:id="echoid-s249" xml:space="preserve">Sed idem rectangulum S D P æquale oſtenſum fuit
              <lb/>
            duplo rectangulo ſub X Y, Z Λ; </s>
            <s xml:id="echoid-s250" xml:space="preserve">ergo æquale eſt rectangu-
              <lb/>
            lum ſub Y V, Ω Δ, rectangulo ſub X Y, Z Λ. </s>
            <s xml:id="echoid-s251" xml:space="preserve">Eſt itaque
              <lb/>
            Y V ad Y X, ut Λ Z ad Ω Δ ; </s>
            <s xml:id="echoid-s252" xml:space="preserve">verùm ut Λ Z ad Ω Δ,
              <note symbol="6" position="left" xlink:label="note-0022-04" xlink:href="note-0022-04a" xml:space="preserve">16. l. 6. 6.
                <lb/>
              Elem.</note>
            eſt parallelogrammum Σ T ad R Q; </s>
            <s xml:id="echoid-s253" xml:space="preserve">itaque & </s>
            <s xml:id="echoid-s254" xml:space="preserve">Y V eſt ad
              <lb/>
            Y Χ ut parallelogrammum Σ T ad R Q parallelogr. </s>
            <s xml:id="echoid-s255" xml:space="preserve">Sunt
              <lb/>
            autem puncta X & </s>
            <s xml:id="echoid-s256" xml:space="preserve">V centra gravitatis dictorum parallelo-
              <lb/>
            grammorum; </s>
            <s xml:id="echoid-s257" xml:space="preserve">ergo magnitudinis ex utroque parallelogram-
              <lb/>
            mo compoſitæ centrum gravitatis eſt punctum Y . </s>
            <s xml:id="echoid-s258" xml:space="preserve">
              <note symbol="7" position="left" xlink:label="note-0022-05" xlink:href="note-0022-05a" xml:space="preserve">7. lib. 1.
                <lb/>
              A@chim. de
                <lb/>
              Æquip.</note>
            ratione oſtendi poteſt de reliquis omnibus parallelogrammis,
              <lb/>
            quod duorum quorumlibet oppoſitorum centrum gravitatis
              <lb/>
            eſt in linea O Ξ. </s>
            <s xml:id="echoid-s259" xml:space="preserve">Ergo totius magnitudinis quæ ex duabus
              <lb/>
            ſiguris utrimque ordinatè circumſoriptis componitur, centr.
              <lb/>
            </s>
            <s xml:id="echoid-s260" xml:space="preserve">gravitatis in eadem O Ξ reper@ri neceſſe eſt. </s>
            <s xml:id="echoid-s261" xml:space="preserve">Sed ejuſdem com-
              <lb/>
            poſitæ magnitudinis centrum gravit. </s>
            <s xml:id="echoid-s262" xml:space="preserve">eſt quoque in </s>
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