X2959

EXCENTRAL-ISOGONAL CONJUGATE OF X147

X2959 is the excentral-isogonal conjugate of X147.
< 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) { 1, 1326 }: Central Line L(1, 1326) { 40, 511 }: Central Line L(40, 511) { 19, 1247 }: Central Line L(19, 1247) { 612, 846 }: Central Line L(612, 846) { 238, 2640 }: Central Line L(238, 2640) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_1326 = INVERSE-IN-CIRCUMCIRCLE OF X(58) (1.1309, 1.1440) X_40 = BEVAN POINT (0.4286, -0.0292) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1247 = ISOGONAL CONJUGATE OF X(1046) (0.4342, 0.1331) X_612 = INTERSECTION OF LINES X(1)X(2) AND X(9)X(31) (0.5582, 0.2203) X_846 = 4th SHARYGIN POINT (0.5437, 0.1969) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_2640 = CROSSSUM OF PU(78) (1.3971, -0.3206) X_2959 = EXCENTRAL-ISOGONAL CONJUGATE OF X(147) (1.6903, 2.0547) A B C X1 X1326 X40 X511 X19 X1247 X612 X846 X238 X2640 X2959 (a, b, c) = (5, 6, 7) | AB = 1

X2959 (EXCENTRAL-ISOGONAL CONJUGATE OF X147) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-4.682905424658\)
▸ Incident Central Lines8 lines

{1, 1326}, {15, 2952}, {16, 2953}, {19, 1247}, {40, 511}, {238, 2640}, {612, 846}, {1761, 2076}

▸ Functional Relations2 relations