X2942

EXCENTRAL-ISOGONAL CONJUGATE OF X7

X2942 is the excentral-isogonal conjugate of X7.
< 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) { 165, 169 }: Central Line L(165, 169) { 57, 1742 }: Central Line L(57, 1742) { 1762, 2938 }: Central Line L(1762, 2938) { 63, 2951 }: Central Line L(63, 2951) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_7 = GERGONNE POINT (0.5903, 0.2769) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_169 = -CEVA CONJUGATE OF X(1) (0.5497, 0.2510) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_1742 = MIMOSA TRANSFORM OF X(212) (0.5314, 0.1406) X_1762 = MIMOSA TRANSFORM OF X(307) (0.5223, 0.2162) X_2938 = EXCENTRAL-ISOGONAL CONJUGATE OF X(2) (0.4541, 0.0130) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_2951 = EXCENTRAL-ISOGONAL CONJUGATE OF X(57) (0.4066, -0.1480) X_2942 = EXCENTRAL-ISOGONAL CONJUGATE OF X(7) (0.4186, -0.0926) A B C X7 X165 X169 X57 X1742 X1762 X2938 X63 X2951 X2942 (a, b, c) = (5, 6, 7) | AB = 1

X2942 (EXCENTRAL-ISOGONAL CONJUGATE OF X7) 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): \(16.284974825657\)
▸ Incident Central Lines4 lines

{57, 1742}, {63, 2951}, {165, 169}, {1762, 2938}

▸ Functional Relations2 relations