X3637

ISOGONAL CONJUGATE OF X3355

X3637 is the isogonal conjugate of X3355.
< 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) { 4, 3356 }: Central Line L(4, 3356) { 20, 3355 }: Central Line L(20, 3355) { 1498, 2130 }: Central Line L(1498, 2130) { 1490, 3472 }: Central Line L(1490, 3472) { 3182, 3353 }: Central Line L(3182, 3353) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3355 = REFLECTION OF X(2131) IN X(3) (0.4675, 0.0474) X_4 = ORTHOCENTER (0.6122, 0.3958) X_3356 = -CROSS CONJUGATE OF X(3350) (0.6079, 0.2837) X_20 = DE LONGCHAMPS POINT (0.3878, -0.1916) X_1498 = REFLECTION OF X(64) IN X(3) (0.4421, -1.3902) X_2130 = EIGENTRANSFORM OF X(20) (0.6000, 0.3192) X_1490 = ∩X(3)X(9) (0.3929, -0.4775) X_3472 = -CEVA CONJUGATE OF X(3345) (0.5432, 0.1758) X_3182 = -CEVA CONJUGATE OF X(1) (0.5164, 5.7648) X_3353 = -CEVA CONJUGATE OF X(84) (0.6152, 0.5324) X_3637 = ISOGONAL CONJUGATE OF X(3355) (0.6160, 0.4923) A B C X3355 X4 X3356 X20 X1498 X2130 X1490 X3472 X3182 X3353 X3637 (a, b, c) = (5, 6, 7) | AB = 1

X3637 (ISOGONAL CONJUGATE OF X3355) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/x(3355) : 1/y(3355) : 1/z(3355)\)
Barycentrics: \(a/x(3355) : b/y(3355) : c/z(3355)\)
Search Value (6, 9, 13): \(12.968976334809\)

X3637 lies on the Darboux cubic.

▸ Incident Central Lines5 lines

{4, 3356}, {20, 3355}, {1490, 3472}, {1498, 2130}, {3182, 3353}

▸ Functional Relations1 relation