X3904

X3716com[INVERSE(n(4th EULER TRIANGLE))]

X3904 = isogonal conjugate of X32675
< 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) { 323, 401 }: Central Line L(323, 401) { 190, 644 }: Central Line L(190, 644) { 514, 661 }: Central Line L(514, 661) { 1320, 2804 }: Central Line L(1320, 2804) { 676, 3616 }: Central Line L(676, 3616) { 2254, 2785 }: Central Line L(2254, 2785) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_323 = ISOTOMIC CONJUGATE OF X(94) (-0.8839, -1.3275) X_401 = BAILEY POINT (-0.0758, -1.4044) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_644 = TRILINEAR MULTIPLIER FOR YFF PARABOLA (-0.0171, 0.3359) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_661 = CROSSDIFFERENCE OF X(1) AND X(21) (48.4286, -23.0952) X_1320 = ISOGONAL CONJUGATE OF X(1319) (1.0000, 0.0000) X_2804 = ISOGONAL CONJUGATE OF X(2720) (-0.0126, -0.0047) X_676 = CROSSDIFFERENCE OF X(3) AND X(101) (1.2449, 0.5665) X_3616 = H(X(1); M, 1/2) (0.5510, 0.2133) X_2254 = -ISOCONJUGATE OF X(919) (2.5714, 1.8663) X_2785 = ISOGONAL CONJUGATE OF X(2701) (1.0319, 0.5161) X_3904 = com[INVERSE(n(4th EULER TRIANGLE))] (-2.2245, -1.1998) A B C X323 X401 X190 X644 X514 X661 X1320 X2804 X676 X3616 X2254 X2785 X3904 (a, b, c) = (5, 6, 7) | AB = 1

X3904 (X3716com[INVERSE(n(4th EULER TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = (b - c)(b + c - a)(b^{2} + c^{2} - a^{2} - bc)\)
Search Value (6, 9, 13): \(20.820307989503\)
▸ Incident Central Lines7 lines

{190, 644}, {323, 401}, {514, 661}, {676, 3616}, {1320, 2804}, {2254, 2785}, {2401, 2990}

▸ Functional Relations2 relations