X2196

X2-ISOCONJUGATE OF X242

X2196 = X92-isoconjugate of X238
< 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) { 3, 295 }: Central Line L(3, 295) { 28, 291 }: Central Line L(28, 291) { 56, 292 }: Central Line L(56, 292) { 63, 337 }: Central Line L(63, 337) { 104, 813 }: Central Line L(104, 813) { 71, 1332 }: Central Line L(71, 1332) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_295 = ISOGONAL CONJUGATE OF X(242) (1.0582, 0.0142) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_291 = 2nd SHARYGIN POINT (1.0249, 0.0364) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_292 = -HIRST INVERSE OF X(291) (1.0127, 0.0417) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_337 = ISOTOMIC CONJUGATE OF X(242) (1.0936, 0.0108) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_813 = o-(- 1, 1) CIRCUMCIRCLE POINT (0.9721, -0.0916) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_1332 = ORTHOCORRESPONDENT OF X(100) (-0.2317, 0.1866) X_2196 = -ISOCONJUGATE OF X(242) (1.0447, 0.0163) A B C X3 X295 X28 X291 X56 X292 X63 X337 X104 X813 X71 X1332 X2196 (a, b, c) = (5, 6, 7) | AB = 1

X2196 (X2-ISOCONJUGATE OF X242) 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 X242
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-0.157571198125\)
▸ Incident Central Lines9 lines

{3, 295}, {28, 291}, {56, 292}, {63, 337}, {71, 1332}, {104, 813}, {692, 1333}, {906, 1437}, {1472, 1922}

▸ Functional Relations3 relations