X883

INTERSECTION OF LINES X7X_8 AND X190X_644

X883 = isogonal conjugate of X884
< 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) { 7, 8 }: Gergonne–Nagel Line { 190, 644 }: Central Line L(190, 644) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_884 = ISOGONAL CONJUGATE OF X(883) (1.0241, 0.0337) X_7 = GERGONNE POINT (0.5903, 0.2769) X_8 = NAGEL POINT (0.4694, 0.1333) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_644 = TRILINEAR MULTIPLIER FOR YFF PARABOLA (-0.0171, 0.3359) X_883 = INTERSECTION OF LINES X(7)X(8) AND X(190)X(644) (1.5694, 1.4397) A B C X884 X7 X8 X190 X644 X883 (a, b, c) = (5, 6, 7) | AB = 1

X883 (INTERSECTION OF LINES X7X_8 AND X190X_644) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((a^{2}u^{2} - bcvw)/[a^{2}u(bv - cw)] : :\), where \(u : v : w\) = X7
Search Value (6, 9, 13): \(-1.249247616341\)
▸ Incident Central Lines2 lines

{7, 8}, {190, 644}

▸ Functional Relations2 relations