X2960

EXCENTRAL-ISOGONAL CONJUGATE OF X155

X2960 is the excentral-isogonal conjugate of X155.
< 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) { 1717, 2915 }: Central Line L(1717, 2915) { 30, 40 }: Central Line L(30, 40) { 35, 37 }: Central Line L(35, 37) { 1, 1719 }: Central Line L(1, 1719) { 46, 1834 }: Central Line L(46, 1834) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1717 = MIMOSA TRANSFORM OF X(35) (0.6295, 0.3852) X_2915 = TANGENTIAL-ISOGONAL CONJUGATE OF X(1) (0.4365, -0.0641) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_40 = BEVAN POINT (0.4286, -0.0292) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_1 = INCENTER (0.5714, 0.2333) X_1719 = MIMOSA TRANSFORM OF X(37) (0.6619, 0.4394) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_1834 = ZOSMA TRANSFORM OF X(28) (0.5987, 0.2534) X_2960 = EXCENTRAL-ISOGONAL CONJUGATE OF X(155) (0.2435, -0.5134) A B C X1717 X2915 X30 X40 X35 X37 X1 X1719 X46 X1834 X2960 (a, b, c) = (5, 6, 7) | AB = 1

X2960 (EXCENTRAL-ISOGONAL CONJUGATE OF X155) 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): \(-165.912433836595\)
▸ Incident Central Lines6 lines

{1, 1719}, {30, 40}, {35, 37}, {46, 1834}, {429, 1698}, {1498, 2779}

▸ Functional Relations2 relations