X3768

X3250com[T(bc, b²)]

X3768 = isogonal conjugate of X4607
< 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) { 44, 513 }: Central Line L(44, 513) { 190, 646 }: Central Line L(190, 646) { 1015, 1960 }: Central Line L(1015, 1960) { 573, 2827 }: Central Line L(573, 2827) { 888, 2667 }: Central Line L(888, 2667) { 292, 3572 }: Central Line L(292, 3572) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_646 = BARYCENTRIC MULTIPLIER FOR YFF PARABOLA (-0.0898, 0.2051) X_1015 = EXSIMILICENTER OF MOSES CIRCLE AND INCIRCLE (0.7982, 0.1348) X_1960 = BICENTRIC SUM OF PU(25) (1.2500, 1.2247) X_573 = ORTHOHARMONIC OF X(58) (0.4486, 0.0172) X_2827 = ISOGONAL CONJUGATE OF X(2743) (0.8180, 0.7154) X_888 = ISOTOMIC CONJUGATE OF X(886) (0.2587, -0.3165) X_2667 = SUM OF PU(85) (0.5803, 0.2413) X_292 = -HIRST INVERSE OF X(291) (1.0127, 0.0417) X_3572 = INTERSECTION OF LINES P(6)U(6) AND P(8)U(8) (0.9934, -0.0218) X_3768 = com[T(bc, b2)] (1.7103, 2.3350) A B C X44 X513 X190 X646 X1015 X1960 X573 X2827 X888 X2667 X292 X3572 X3768 (a, b, c) = (5, 6, 7) | AB = 1

X3768 (X3250com[T(bc, b²)]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(a^{2}(b - c)(2bc - ab - ac) : b^{2}(c - a)(2ca - bc - ba) : c^{2}(a - b)(2ab - ca - cb)\)
Search Value (6, 9, 13): \(-5.539324271956\)
▸ Incident Central Lines7 lines

{44, 513}, {190, 646}, {292, 3572}, {573, 2827}, {813, 3257}, {888, 2667}, {1015, 1960}

▸ Functional Relations1 relation

  • X3768 = isogonal conjugate of X4607