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

Table of figures

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[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]
[Figure 81]
[Figure 82]
[83] TAB. XLIV.Fig. 2.D H A B E F G
[84] Fig. 1.E G N L O I Q P D K M H F A
[85] Fig. 3.B E F A D G C
[86] I. CasusFig. 4.Y Q R C A B M L I K V C O S X
[87] II. CasusFig. 5.R C Y Q A B I L M K V O X S C
[88] III. CasusFig. 6.Q C D Y K L I N M S V B X C A G O
[89] Fig. 7.IV. CasusQ D C A B S L N X M I V Y K C G O
[Figure 90]
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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>
          </head>
          <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-
              <lb/>
            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-
              <lb/>
            xima A E B, B F C. </s>
            <s xml:id="echoid-s1154" xml:space="preserve">Dico triangulum A B C minus eſſe quam
              <lb/>
            quadruplum triangulorum A E B, B F C ſimul ſumpto-
              <lb/>
            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-
              <lb/>
            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
              <lb/>
            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-
              <lb/>
            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-
              <lb/>
            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
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            eſt quam dupla E F, quoniam hæc ipſi A B æquatur. </s>
            <s xml:id="echoid-s1166" xml:space="preserve">Er-
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            go patet triangulum A B C minus eſſe quam octuplum </s>
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