X2359

X2-ISOCONJUGATE OF X1829

X2359 = isogonal conjugate of X1848
< 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) { 48, 78 }: Central Line L(48, 78) { 9, 205 }: Central Line L(9, 205) { 42, 284 }: Central Line L(42, 284) { 71, 283 }: Central Line L(71, 283) { 184, 219 }: Central Line L(184, 219) { 1, 572 }: Central Line L(1, 572) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1848 = ZOSMA TRANSFORM OF X(171) (0.6100, 0.3866) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_78 = ISOGONAL CONJUGATE OF X(34) (0.3835, 0.0491) X_9 = MITTENPUNKT (0.5110, 0.1615) X_205 = -CEVA CONJUGATE OF X(31) (0.4813, -0.2261) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_283 = -CROSS CONJUGATE OF X(21) (0.4475, 0.0704) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_219 = -CEVA CONJUGATE OF X(55) (0.4277, 0.0625) X_1 = INCENTER (0.5714, 0.2333) X_572 = ORTHOGONAL OF X(58) (7.2953, -0.6907) X_2359 = -ISOCONJUGATE OF X(1829) (0.6381, 0.2241) A B C X1848 X48 X78 X9 X205 X42 X284 X71 X283 X184 X219 X1 X572 X2359 (a, b, c) = (5, 6, 7) | AB = 1

X2359 (X2-ISOCONJUGATE OF X1829) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X1829
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(8.500949434212\)
▸ Incident Central Lines13 lines

{1, 572}, {3, 2197}, {6, 1036}, {9, 205}, {29, 1220}, {42, 284}, {48, 78}, {71, 283}, {184, 219}, {282, 2208}, {306, 332}, {951, 1458}, {2200, 2327}

▸ Functional Relations5 relations