X3799

X2com[INVERSE(nT(bc, 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) { 100, 101 }: Central Line L(100, 101) { 190, 513 }: Central Line L(190, 513) { 668, 891 }: Central Line L(668, 891) { 2802, 3679 }: Central Line L(2802, 3679) { 2809, 3681 }: Central Line L(2809, 3681) { 3507, 3747 }: Central Line L(3507, 3747) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_668 = TRILINEAR POLE OF LINE X(2)X(37) (0.0159, 0.3302) X_891 = ISOTOMIC CONJUGATE OF X(889) (0.8689, 0.6842) X_2802 = ISOGONAL CONJUGATE OF X(2718) (1.0529, -0.0806) X_3679 = com(EXTOUCH TRIANGLE) (0.5034, 0.1666) X_2809 = ISOGONAL CONJUGATE OF X(2725) (0.9920, -0.1712) X_3681 = com(EXTOUCH TRIANGLE) (0.4476, 0.0933) X_3507 = INTERSECTION OF LINES X(1)X(2) AND X(32)X(2319) (2.0184, 1.6510) X_3747 = com[n(MEDIAL)*n(INCENTRAL)] (1.3019, 1.1933) X_3799 = com[INVERSE(nT(bc, c2))] (0.0667, 0.4044) A B C X100 X101 X190 X513 X668 X891 X2802 X3679 X2809 X3681 X3507 X3747 X3799 (a, b, c) = (5, 6, 7) | AB = 1

X3799 (X2com[INVERSE(nT(bc, 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 \(f(a,b,c) = a(a - b)(a - c)(b^{2} + c^{2} + bc)\)
Search Value (6, 9, 13): \(4.681114641652\)
▸ Incident Central Lines6 lines

{100, 101}, {190, 513}, {668, 891}, {2802, 3679}, {2809, 3681}, {3507, 3747}