X751

ISOGONAL CONJUGATE OF X750

X751 is the isogonal conjugate of X750.
< 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) { 519, 984 }: Central Line L(519, 984) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_750 = INTERSECTION OF LINES X(1)X(88) AND X(2)X(31) (0.5675, 0.2354) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_984 = MIDPOINT OF X(8) AND X(192) (0.5421, 0.1984) X_751 = ISOGONAL CONJUGATE OF X(750) (0.5754, 0.2311) A B C X750 X519 X984 X751 (a, b, c) = (5, 6, 7) | AB = 1

X751 (ISOGONAL CONJUGATE OF X750) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/(a^{2} + 2bc) : 1/(b^{2} + 2ca) : 1/(c^{2} + 2ab)\)
Barycentrics: \(a/(a^{2} + 2bc) : b/(b^{2} + 2ca) : c/(c^{2} + 2ab)\)
Search Value (6, 9, 13): \(1.636273798812\)
▸ Incident Central Lines1 line

{519, 984}

▸ Functional Relations2 relations