X1394

X20-BETH CONJUGATE OF X20

X1394 = X154-cross conjugate of X610
< 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) { 28, 34 }: Central Line L(28, 34) { 1, 84 }: Central Line L(1, 84) { 21, 77 }: Central Line L(21, 77) { 40, 109 }: Central Line L(40, 109) { 3, 223 }: Central Line L(3, 223) { 56, 269 }: Central Line L(56, 269) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_20 = DE LONGCHAMPS POINT (0.3878, -0.1916) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_1 = INCENTER (0.5714, 0.2333) X_84 = ISOGONAL CONJUGATE OF X(40) (0.6071, 0.6816) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_77 = ISOGONAL CONJUGATE OF X(33) (0.5270, 0.1305) X_40 = BEVAN POINT (0.4286, -0.0292) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_223 = -CEVA CONJUGATE OF X(57) (0.4996, -0.0528) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_269 = ISOGONAL CONJUGATE OF X(200) (0.6369, 0.3847) X_1394 = -BETH CONJUGATE OF X(20) (0.4977, -0.6923) A B C X20 X28 X34 X1 X84 X21 X77 X40 X109 X3 X223 X56 X269 X1394 (a, b, c) = (5, 6, 7) | AB = 1

X1394 (X20-BETH CONJUGATE OF X20) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((3 a^{4} - b^{4} - c^{4} - 2 a^{2} b^{2} - 2 a^{2} c^{2} + 2 b^{2} c^{2})/(a - b - c) : :\)
Search Value (6, 9, 13): \(-0.258151810550\)
▸ Incident Central Lines14 lines

{1, 84}, {3, 223}, {9, 478}, {21, 77}, {28, 34}, {40, 109}, {56, 269}, {73, 991}, {78, 651}, {165, 227}, {614, 1106}, {1104, 1407}, {1398, 1473}, {1420, 1457}

▸ Functional Relations5 relations