X3469

ISOGONAL CONJUGATE OF X3468

X3469 is the isogonal conjugate of X3468.
< 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) { 77, 1745 }: Central Line L(77, 1745) { 1, 3462 }: Central Line L(1, 3462) { 3, 3460 }: Central Line L(3, 3460) { 5, 3468 }: Central Line L(5, 3468) { 2120, 3467 }: Central Line L(2120, 3467) 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_3467 = ISOGONAL CONJUGATE OF X(3336) (0.4625, 0.1294) X_77 = ISOGONAL CONJUGATE OF X(33) (0.5270, 0.1305) X_1745 = MIMOSA TRANSFORM OF X(255) (0.4689, -0.1747) X_1 = INCENTER (0.5714, 0.2333) X_3462 = -CEVA CONJUGATE OF X(4) (0.4603, -0.7229) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_3460 = -CEVA CONJUGATE OF X(1) (0.5384, 0.2645) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_3468 = -CEVA CONJUGATE OF X(3336) (0.5161, 0.0130) X_2120 = EIGENTRANSFORM OF X(5) (0.5135, 0.2811) X_3469 = ISOGONAL CONJUGATE OF X(3468) (0.6104, 0.5687) A B C X54 X3467 X77 X1745 X1 X3462 X3 X3460 X5 X3468 X2120 X3469 (a, b, c) = (5, 6, 7) | AB = 1

X3469 (ISOGONAL CONJUGATE OF X3468) 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 \(f(a,b,c) = 1/x(3468)\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(16.264068584878\)

X3469 lies on the Napoleon cubic.

▸ Incident Central Lines5 lines

{1, 3462}, {3, 3460}, {5, 3468}, {77, 1745}, {2120, 3467}

▸ Functional Relations2 relations