X326

ISOTOMIC CONJUGATE OF X158

X326 is the isotomic conjugate of X158.
< 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) { 1, 75 }: Central Line L(1, 75) { 48, 63 }: Central Line L(48, 63) { 69, 73 }: Central Line L(69, 73) { 200, 319 }: Central Line L(200, 319) { 269, 320 }: Central Line L(269, 320) { 322, 664 }: Central Line L(322, 664) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_158 = -CROSS CONJUGATE OF X(92) (0.6215, 0.5117) X_1 = INCENTER (0.5714, 0.2333) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_73 = CROSSPOINT OF INCENTER AND CIRCUMCENTER (0.5487, 0.1428) X_200 = -CEVA CONJUGATE OF X(9) (0.4392, 0.1037) X_319 = ISOTOMIC CONJUGATE OF X(79) (0.4549, 0.1161) X_269 = ISOGONAL CONJUGATE OF X(200) (0.6369, 0.3847) X_320 = ISOTOMIC CONJUGATE OF X(80) (-2.6735, -3.5993) X_322 = ISOTOMIC CONJUGATE OF X(84) (0.3430, -0.0168) X_664 = TRILINEAR POLE OF LINE X(2)X(7) (0.2391, 0.5142) X_326 = ISOTOMIC CONJUGATE OF X(158) (0.3354, 0.0219) A B C X158 X1 X75 X48 X63 X69 X73 X200 X319 X269 X320 X322 X664 X326 (a, b, c) = (5, 6, 7) | AB = 1

X326 (ISOTOMIC CONJUGATE OF X158) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\cot^{2} A : :\)
Barycentrics: \(\csc A - \sin A : :\)
Search Value (6, 9, 13): \(4.834718495099\)
▸ Alternate Coordinates2 forms

  • Trilinears: \(b^{2} + c^{2} - S^{2} : :\)

  • Trilinears: \((distance from A to orthic axis)^{2} : :\)

▸ Incident Central Lines8 lines

{1, 75}, {48, 63}, {69, 73}, {200, 319}, {255, 1102}, {269, 320}, {322, 664}, {610, 662}

▸ Functional Relations9 relations