X₃₈₀₉

X₂₇₈₆com[INVERSE(nT(bc, b²))]

5, 6, 7 3, 4, 5 Kepler Kimberling

X₃₈₀₉ (X₂₇₈₆com[INVERSE(nT(bc, b²))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {1, 2}

• Related Centers: X₁ (INCENTER), X₂ (CENTROID)

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(2a^{2} + bc)(b^{2} + c^{2} + bc)\)

Search Value (6, 9, 13): \(1.728843691557\)

▸ Incident Central Lines1 line

{1, 2}