X3896

X3741com[INVERSE(n(3rd EULER TRIANGLE))]

< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 65, 145 }: Central Line L(65, 145) { 42, 321 }: Central Line L(42, 321) { 38, 519 }: Central Line L(38, 519) { 100, 1402 }: Central Line L(100, 1402) { 239, 1621 }: Central Line L(239, 1621) { 10, 1962 }: Central Line L(10, 1962) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_1402 = -BETH CONJUGATE OF X(42) (0.6396, 0.3585) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_1621 = TCC-PERSPECTOR OF X(81) (0.5431, 0.1961) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_1962 = BICENTRIC SUM OF PU(32) (0.5646, 0.2243) X_3896 = com[INVERSE(n(3rd EULER TRIANGLE))] (0.6960, 0.3462) A B C X65 X145 X42 X321 X38 X519 X100 X1402 X239 X1621 X10 X1962 X3896 (a, b, c) = (5, 6, 7) | AB = 1

X3896 (X3741com[INVERSE(n(3rd EULER TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \((2 a^{2}-b c) \cdot (b+c) : :\)
Search Value (6, 9, 13): \(-1.604855181605\)
▸ Incident Central Lines13 lines

{2, 3696}, {10, 1962}, {38, 519}, {42, 321}, {55, 3187}, {65, 145}, {100, 1402}, {192, 3681}, {239, 1621}, {306, 3755}, {312, 3240}, {386, 3702}, {2901, 3293}