X3776

X3700com[INVERSE(nT(-bc, c²))]

X3776 = isotomic conjugate of X4621
< 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) { 241, 514 }: Central Line L(241, 514) { 321, 693 }: Central Line L(321, 693) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_241 = -LINE CONJUGATE OF X(55) (1.1217, 1.2442) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_693 = ISOTOMIC CONJUGATE OF X(100) (-25.8163, 8.9981) X_3776 = com[INVERSE(nT(-bc, c2))] (14.7551, -4.6490) A B C X241 X514 X321 X693 X3776 (a, b, c) = (5, 6, 7) | AB = 1

X3776 (X3700com[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 \(f(a,b,c) = (b - c)(b^{2} + c^{2} - bc)\)
Search Value (6, 9, 13): \(-24.979003528643\)
▸ Incident Central Lines2 lines

{241, 514}, {321, 693}

▸ Functional Relations1 relation

  • X3776 = isotomic conjugate of X4621