X3800

X512com[INVERSE(nT(a², a² + b²))]

X3800 = isogonal conjugate of X907
< 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) { 419, 2501 }: Central Line L(419, 2501) { 879, 3527 }: Central Line L(879, 3527) { 1734, 3004 }: Central Line L(1734, 3004) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_907 = POINT ACRUX (0.1933, 0.5099) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_419 = -HIRST INVERSE OF X(25) (0.7266, 0.6950) X_2501 = RADICAL CENTER OF {CIRCUMCIRCLE, NINE-POINT CIRCLE, TAYLOR CIRCLE} (-0.1402, 1.0959) X_879 = ISOTOMIC CONJUGATE OF X(877) (1.2088, 0.0345) X_3527 = ISOGONAL CONJUGATE OF X(631) (0.6065, 0.3131) X_1734 = MIMOSA TRANSFORM OF X(101) (10.6667, -1.6330) X_3004 = (DE LONGCHAMPS LINE)∩(GERGONNE LINE) (51.8776, -20.6957) X_3800 = com[INVERSE(nT(a2, a2 + b2))] (1.0700, -0.0464) A B C X907 X30 X511 X419 X2501 X879 X3527 X1734 X3004 X3800 (a, b, c) = (5, 6, 7) | AB = 1

X3800 (X512com[INVERSE(nT(a², a² + b²))]) 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 \(f(a,b,c) = (b^{2} - c^{2})(b^{2} + c^{2} + 3a^{2})\)
▸ Incident Central Lines4 lines

{30, 511}, {419, 2501}, {879, 3527}, {1734, 3004}

▸ Functional Relations1 relation