X3803

X905com[INVERSE(nT(a², a² + c²))]

< 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) { 36, 238 }: Central Line L(36, 238) { 650, 830 }: Central Line L(650, 830) { 649, 3309 }: Central Line L(649, 3309) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_650 = CROSSDIFFERENCE OF X(1) AND X(3) (13.7143, -4.1991) X_830 = ODD (1, 3) INFINITY POINT (1.0590, -0.0690) X_649 = CROSSDIFFERENCE OF X(1) and X(2) (-21.0000, 14.6969) X_3309 = ISOGONAL CONJUGATE OF X(1292) (0.0885, 0.5779) X_3803 = com[INVERSE(nT(a2, a2 + c2))] (-17.9524, 12.1308) A B C X36 X238 X650 X830 X649 X3309 X3803 (a, b, c) = (5, 6, 7) | AB = 1

X3803 (X905com[INVERSE(nT(a², a² + c²))]) 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 \(f(a,b,c) = a(b - c)(3a^{2} + b^{2} + c^{2})\)
Search Value (6, 9, 13): \(14.407867771086\)
▸ Incident Central Lines3 lines

{36, 238}, {649, 3309}, {650, 830}