X3463

ISOGONAL CONJUGATE OF X3462

X3463 is the isogonal conjugate of X3462.
< 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) { 3, 2120 }: Central Line L(3, 2120) { 5, 3462 }: Central Line L(5, 3462) { 3460, 3468 }: Central Line L(3460, 3468) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_54 = KOSNITA POINT (0.5880, 0.2176) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_2120 = EIGENTRANSFORM OF X(5) (0.5135, 0.2811) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_3462 = -CEVA CONJUGATE OF X(4) (0.4603, -0.7229) X_3460 = -CEVA CONJUGATE OF X(1) (0.5384, 0.2645) X_3468 = -CEVA CONJUGATE OF X(3336) (0.5161, 0.0130) X_3463 = ISOGONAL CONJUGATE OF X(3462) (0.3625, -1.7161) A B C X54 X3 X2120 X5 X3462 X3460 X3468 X3463 (a, b, c) = (5, 6, 7) | AB = 1

X3463 (ISOGONAL CONJUGATE OF X3462) 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 \(f(a,b,c) = 1/x(3462)\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-1.340769326891\)

X3463 lies on the Napoleon cubic.

▸ Incident Central Lines3 lines

{3, 2120}, {5, 3462}, {3460, 3468}

▸ Functional Relations2 relations