X328

ISOTOMIC CONJUGATE OF X186

X328 is the isotomic conjugate of X186.
< 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) { 2, 94 }: Central Line L(2, 94) { 95, 99 }: Central Line L(95, 99) { 69, 265 }: Central Line L(69, 265) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_186 = INVERSE-IN-CIRCUMCIRCLE OF X(4) (0.7957, 0.8758) X_2 = CENTROID (0.5374, 0.2000) X_94 = ISOGONAL CONJUGATE OF X(50) (0.9069, -0.1331) X_95 = CEVAPOINT OF CENTROID AND CIRCUMCENTER (0.5172, 0.1562) X_99 = STEINER POINT (0.1109, 0.4322) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_265 = REFLECTION OF X(3) IN X(125) (0.8606, -0.0500) X_328 = ISOTOMIC CONJUGATE OF X(186) (0.7964, -0.0335) A B C X186 X2 X94 X95 X99 X69 X265 X328 (a, b, c) = (5, 6, 7) | AB = 1

X328 (ISOTOMIC CONJUGATE OF X186) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\cot A \csc 3A : \cot B \csc 3B : \cot C \csc 3C\)
Barycentrics: \(\cos A \csc 3A : \cos B \csc 3B : \cos C \csc 3C\)
Search Value (6, 9, 13): \(0.810782614558\)
▸ Incident Central Lines3 lines

{2, 94}, {69, 265}, {95, 99}

▸ Functional Relations5 relations