X3466

ISOGONAL CONJUGATE OF X3465

X3466 is the isogonal conjugate of X3465.
< 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) { 78, 1330 }: Central Line L(78, 1330) { 30, 1807 }: Central Line L(30, 1807) { 109, 1794 }: Central Line L(109, 1794) { 219, 1761 }: Central Line L(219, 1761) { 284, 1845 }: Central Line L(284, 1845) { 1, 2816 }: Central Line L(1, 2816) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_654 = CROSSDIFFERENCE OF X(1) AND X(5) (2.8235, 1.7291) X_2638 = DIFFERENCE OF PU(77) (0.6093, 0.0064) X_78 = ISOGONAL CONJUGATE OF X(34) (0.3835, 0.0491) X_1330 = ANTICOMPLEMENTARY CONJUGATE OF X(1) (0.3908, 0.0300) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_1807 = INVERSE MIMOSA TRANSFORM OF X(484) (0.8312, -0.0318) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_1794 = INVERSE MIMOSA TRANSFORM OF X(35) (0.4762, 0.0851) X_219 = -CEVA CONJUGATE OF X(55) (0.4277, 0.0625) X_1761 = MIMOSA TRANSFORM OF X(306) (0.4350, 0.0384) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_1845 = ZOSMA TRANSFORM OF X(80) (0.5417, 0.5181) X_1 = INCENTER (0.5714, 0.2333) X_2816 = ISOGONAL CONJUGATE OF X(2732) (0.5004, 0.7856) X_3466 = ISOGONAL CONJUGATE OF X(3465) (0.6227, -0.5773) A B C X654 X2638 X78 X1330 X30 X1807 X109 X1794 X219 X1761 X284 X1845 X1 X2816 X3466 (a, b, c) = (5, 6, 7) | AB = 1

X3466 (ISOGONAL CONJUGATE OF X3465) 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 \(f(a,b,c) = 1/x(3465)\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-7.125622869092\)

X3466 lies on the Neuberg cubic.

▸ Incident Central Lines12 lines

{1, 2816}, {3, 3464}, {30, 1807}, {78, 1330}, {109, 1794}, {219, 1761}, {284, 1845}, {399, 3483}, {484, 3484}, {947, 2817}, {1718, 2636}, {2132, 3065}

▸ Functional Relations5 relations