X336

ISOTOMIC CONJUGATE OF X240

X336 is the isotomic conjugate of X240.
< 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) { 48, 75 }: Central Line L(48, 75) { 73, 290 }: Central Line L(73, 290) { 255, 293 }: Central Line L(255, 293) { 1, 811 }: Central Line L(1, 811) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_240 = -LINE CONJUGATE OF X(48) (0.7457, 0.8594) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_73 = CROSSPOINT OF INCENTER AND CIRCUMCENTER (0.5487, 0.1428) X_290 = ISOGONAL CONJUGATE OF X(237) (0.7829, -0.1380) X_255 = ISOGONAL CONJUGATE OF X(158) (0.4217, 0.0365) X_293 = ISOGONAL CONJUGATE OF X(240) (0.7839, -0.0636) X_1 = INCENTER (0.5714, 0.2333) X_811 = ISOGONAL CONJUGATE OF X(810) (0.4151, 0.5616) X_336 = ISOTOMIC CONJUGATE OF X(240) (0.7020, -0.0409) A B C X240 X48 X75 X73 X290 X255 X293 X1 X811 X336 (a, b, c) = (5, 6, 7) | AB = 1

X336 (ISOTOMIC CONJUGATE OF X240) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\csc A \cot A \sec(A + \omega ) : \csc B \cot B \sec(B + \omega ) : \csc C \cot C \sec(C + \omega )\)
Barycentrics: \(\cot A \sec(A + \omega ) : \cot B \sec(B + \omega ) : \cot C \sec(C + \omega )\)
Search Value (6, 9, 13): \(3.929705325689\)
▸ Incident Central Lines4 lines

{1, 811}, {48, 75}, {73, 290}, {255, 293}

▸ Functional Relations1 relation