X2333

X2-ISOCONJUGATE OF X1444

X2333 = X1918-cross conjugate of X42
< 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) { 4, 9 }: Orthocenter–Spieker Line { 25, 41 }: Central Line L(25, 41) { 28, 291 }: Central Line L(28, 291) { 181, 213 }: Central Line L(181, 213) { 756, 862 }: Central Line L(756, 862) { 608, 1405 }: Central Line L(608, 1405) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_9 = MITTENPUNKT (0.5110, 0.1615) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_291 = 2nd SHARYGIN POINT (1.0249, 0.0364) X_181 = APOLLONIUS POINT (0.6163, 0.3093) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_756 = CROSSPOINT OF X(10) AND X(37) (0.5409, 0.1988) X_862 = INTERCEPT OF EULER LINE AND TRILINEAR POLAR OF X(19) (0.7262, 0.6939) X_608 = ISOGONAL CONJUGATE OF X(345) (0.6361, 0.4975) X_1405 = -BETH CONJUGATE OF X(45) (0.6170, 0.3084) X_2333 = -ISOCONJUGATE OF X(1444) (0.6052, 0.3795) A B C X4 X9 X25 X41 X28 X291 X181 X213 X756 X862 X608 X1405 X2333 (a, b, c) = (5, 6, 7) | AB = 1

X2333 (X2-ISOCONJUGATE OF X1444) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((b + c) \sec A : (c + a) \sec B : (a + b) \sec C\)
Barycentrics: \((b + c) \tan A : (c + a) \tan B : (a + b) \tan C\)
Search Value (6, 9, 13): \(-0.894465556277\)
▸ Incident Central Lines12 lines

{4, 9}, {25, 41}, {28, 291}, {34, 2279}, {181, 213}, {579, 1722}, {608, 1405}, {756, 862}, {1126, 1474}, {1254, 1400}, {1918, 2207}, {2225, 2355}

▸ Functional Relations7 relations