X888

ISOTOMIC CONJUGATE OF X886

As the isogonal conjugate of a point on the circumcircle, X888 lies on the line at infinity.
< 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) { 30, 511 }: Central Line L(30, 511) { 351, 865 }: Central Line L(351, 865) { 694, 882 }: Central Line L(694, 882) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_886 = INTERSECTION OF LINES X(99)X(669) AND X(512)X(670) (0.7371, -0.1549) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_351 = CENTER OF THE PARRY CIRCLE (1.3537, 1.1619) X_865 = INTERCEPT OF EULER LINE AND TRILINEAR POLAR OF X(512) (-0.1837, -1.6869) X_694 = ISOGONAL CONJUGATE OF X(385) (1.0179, 0.0378) X_882 = ISOTOMIC CONJUGATE OF X(880) (0.9879, -0.0178) X_888 = ISOTOMIC CONJUGATE OF X(886) (0.2587, -0.3165) A B C X886 X30 X511 X351 X865 X694 X882 X888 (a, b, c) = (5, 6, 7) | AB = 1

X888 (ISOTOMIC CONJUGATE OF X886) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(u(bv - cw)/(a^{2}u^{2} - bcvw) : :\), where \(u : v : w\) = X512
Barycentrics: \(a^{2}(b^{2} - c^{2})(a^{2}b^{2} + a^{2}c^{2} - 2b^{2}c^{2}) : :\)
▸ Incident Central Lines3 lines

{30, 511}, {351, 865}, {694, 882}

▸ Functional Relations8 relations