X2266

X2-ISOCONJUGATE OF X955

< 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, 31 }: Central Line L(6, 31) { 48, 57 }: Central Line L(48, 57) { 41, 65 }: Central Line L(41, 65) { 165, 284 }: Central Line L(165, 284) { 19, 1174 }: Central Line L(19, 1174) { 1, 1802 }: Central Line L(1, 1802) 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_31 = 2nd POWER POINT (0.6228, 0.3008) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1174 = 1st SARAGOSSA POINT OF X(57) (0.5906, 0.2472) X_1 = INCENTER (0.5714, 0.2333) X_1802 = INVERSE MIMOSA TRANSFORM OF X(170) (0.3991, 0.0470) X_2266 = -ISOCONJUGATE OF X(955) (0.5923, 0.2558) A B C X6 X31 X48 X57 X41 X65 X165 X284 X19 X1174 X1 X1802 X2266 (a, b, c) = (5, 6, 7) | AB = 1

X2266 (X2-ISOCONJUGATE OF X955) 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 X955
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.116615064257\)
▸ Incident Central Lines8 lines

{1, 1802}, {6, 31}, {19, 1174}, {41, 65}, {48, 57}, {165, 284}, {1617, 2260}, {2093, 2301}