X2954

EXCENTRAL-ISOGONAL CONJUGATE OF X71

X2954 is the excentral-isogonal conjugate of X71.
< 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) { 19, 165 }: Central Line L(19, 165) { 1, 201 }: Central Line L(1, 201) { 228, 1282 }: Central Line L(228, 1282) { 3, 1762 }: Central Line L(3, 1762) { 43, 1723 }: Central Line L(43, 1723) { 170, 1709 }: Central Line L(170, 1709) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_19 = CLAWSON POINT (0.6246, 0.4244) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_1 = INCENTER (0.5714, 0.2333) X_201 = -CEVA CONJUGATE OF X(12) (0.4897, 0.1062) X_228 = -CEVA CONJUGATE OF X(71) (0.5231, 0.1126) X_1282 = 5th SHARYGIN POINT (-0.1429, 0.8165) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1762 = MIMOSA TRANSFORM OF X(307) (0.5223, 0.2162) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_1723 = MIMOSA TRANSFORM OF X(57) (0.7970, 0.5012) X_170 = -ALEPH CONJUGATE OF X(9) (0.4465, -0.0557) X_1709 = MIMOSA TRANSFORM OF X(9) (0.5826, 0.3739) X_2954 = EXCENTRAL-ISOGONAL CONJUGATE OF X(71) (0.5057, 0.1310) A B C X71 X19 X165 X1 X201 X228 X1282 X3 X1762 X43 X1723 X170 X1709 X2954 (a, b, c) = (5, 6, 7) | AB = 1

X2954 (EXCENTRAL-ISOGONAL CONJUGATE OF X71) 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): \(5.351779633052\)
▸ Incident Central Lines8 lines

{1, 201}, {3, 1762}, {9, 2947}, {19, 165}, {43, 1723}, {170, 1709}, {228, 1282}, {846, 1744}

▸ Functional Relations1 relation