X2298

X2-ISOCONJUGATE OF X1193

X2298 = isogonal conjugate of X3666
< 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) { 6, 8 }: Central Line L(6, 8) { 9, 31 }: Central Line L(9, 31) { 21, 37 }: Central Line L(21, 37) { 81, 314 }: Central Line L(81, 314) { 171, 256 }: Central Line L(171, 256) { 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_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_8 = NAGEL POINT (0.4694, 0.1333) X_9 = MITTENPUNKT (0.5110, 0.1615) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_314 = ISOTOMIC CONJUGATE OF X(65) (0.4457, 0.1206) X_171 = {X(2), X(31)}-HARMONIC CONJUGATE OF X(238) (0.5819, 0.2525) X_256 = 1st SHARYGIN POINT (0.5601, 0.2146) X_1 = INCENTER (0.5714, 0.2333) X_572 = ORTHOGONAL OF X(58) (7.2953, -0.6907) X_2298 = -ISOCONJUGATE OF X(1193) (0.5680, 0.2338) A B C X6 X8 X9 X31 X21 X37 X81 X314 X171 X256 X1 X572 X2298 (a, b, c) = (5, 6, 7) | AB = 1

X2298 (X2-ISOCONJUGATE OF X1193) 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 X1193
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.523767095636\)
▸ Incident Central Lines21 lines

{1, 572}, {2, 2221}, {4, 608}, {6, 8}, {7, 940}, {9, 31}, {19, 1039}, {21, 37}, {55, 941}, {81, 314}, {100, 2092}, {171, 256}, {213, 2287}, {294, 2264}, {335, 1963}, {388, 478}, {404, 2277}, {1011, 2335}, {1100, 1320}, {1172, 1824}, {1911, 2309}

▸ Functional Relations6 relations