X2326

X2-ISOCONJUGATE OF X1425

X2326 = cevapoint of X284 and X1172
< 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) { 27, 86 }: Central Line L(27, 86) { 6, 162 }: Central Line L(6, 162) { 21, 270 }: Central Line L(21, 270) { 29, 284 }: Central Line L(29, 284) { 60, 285 }: Central Line L(60, 285) { 412, 572 }: Central Line L(412, 572) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_1172 = 1st SARAGOSSA POINT OF X(48) (0.6100, 0.3717) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_162 = CEVAPOINT OF X(108) AND X(109) (0.4897, 0.6018) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_270 = ISOGONAL CONJUGATE OF X(201) (0.6168, 0.3881) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_285 = -CROSS CONJUGATE OF X(21) (0.6147, 0.7300) X_412 = EULER X(29)-2nd-SUBSTITUTION POINT (0.6482, 0.4899) X_572 = ORTHOGONAL OF X(58) (7.2953, -0.6907) X_2326 = -ISOCONJUGATE OF X(1425) (0.5851, 0.3123) A B C X284 X1172 X27 X86 X6 X162 X21 X270 X29 X60 X285 X412 X572 X2326 (a, b, c) = (5, 6, 7) | AB = 1

X2326 (X2-ISOCONJUGATE OF X1425) 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 X1425
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(3.836521352835\)
▸ Incident Central Lines8 lines

{6, 162}, {21, 270}, {27, 86}, {29, 284}, {60, 285}, {163, 1765}, {412, 572}, {1043, 2322}

▸ Functional Relations2 relations