X2957

EXCENTRAL-ISOGONAL CONJUGATE OF X100

X2957 is the excentral-isogonal conjugate of X100.
< 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, 59 }: Central Line L(1, 59) { 238, 517 }: Central Line L(238, 517) { 484, 516 }: Central Line L(484, 516) { 655, 1090 }: Central Line L(655, 1090) { 36, 1736 }: Central Line L(36, 1736) { 5, 2607 }: Central Line L(5, 2607) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_1 = INCENTER (0.5714, 0.2333) X_59 = ISOGONAL CONJUGATE OF X(11) (0.5333, 0.4355) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_484 = 1st EVANS PERSPECTOR (2.0952, 3.0327) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_655 = TRILINEAR POLE OF LINE X(1)X(5) (1.0449, 0.2400) X_1090 = TRILINEAR SQUARE OF X(11) (0.8768, 0.0123) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_1736 = MIMOSA TRANSFORM OF X(103) (1.0370, 0.7863) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_2607 = CROSSDIFFERENCE OF PU(70) (0.5584, 0.2383) X_2957 = EXCENTRAL-ISOGONAL CONJUGATE OF X(100) (0.6667, -0.2722) A B C X11 X1 X59 X238 X517 X484 X516 X655 X1090 X36 X1736 X5 X2607 X2957 (a, b, c) = (5, 6, 7) | AB = 1

X2957 (EXCENTRAL-ISOGONAL CONJUGATE OF X100) 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): \(16.944499686110\)
▸ Incident Central Lines6 lines

{1, 59}, {5, 2607}, {36, 1736}, {238, 517}, {484, 516}, {655, 1090}

▸ Functional Relations2 relations