X295

ISOGONAL CONJUGATE OF X242

X295 is the isogonal conjugate of X242.
< 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) { 43, 57 }: Central Line L(43, 57) { 58, 101 }: Central Line L(58, 101) { 27, 335 }: Central Line L(27, 335) { 72, 337 }: Central Line L(72, 337) { 150, 334 }: Central Line L(150, 334) { 103, 813 }: Central Line L(103, 813) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_335 = ISOTOMIC CONJUGATE OF X(239) (1.0387, 0.0318) X_292 = -HIRST INVERSE OF X(291) (1.0127, 0.0417) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_337 = ISOTOMIC CONJUGATE OF X(242) (1.0936, 0.0108) X_150 = REFLECTION OF X(20) IN X(103) (1.1837, -0.4499) X_334 = ISOTOMIC CONJUGATE OF X(238) (1.0545, 0.0278) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_813 = o-(- 1, 1) CIRCUMCIRCLE POINT (0.9721, -0.0916) X_295 = ISOGONAL CONJUGATE OF X(242) (1.0582, 0.0142) A B C X335 X292 X43 X57 X58 X101 X27 X72 X337 X150 X334 X103 X813 X295 (a, b, c) = (5, 6, 7) | AB = 1

X295 (ISOGONAL CONJUGATE OF X242) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\cos A)/(a^{2} - bc) : (\cos B)/(b^{2} - ca) : (\cos C)/(c^{2} - ab)\)
Barycentrics: \((\sin 2A)/(a^{2} - bc) : (\sin 2B)/(b^{2} - ca) : (\sin 2C)/(c^{2} - ab)\)
Search Value (6, 9, 13): \(-0.236188664905\)
▸ Incident Central Lines8 lines

{27, 335}, {43, 57}, {58, 101}, {72, 337}, {103, 813}, {150, 334}, {875, 926}, {876, 928}

▸ Functional Relations5 relations