X₃₉₂₂

X₃₀₉₀com[INVERSE(n(HEXYL TRIANGLE))]

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

X₃₉₂₂ (X₃₀₉₀com[INVERSE(n(HEXYL TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {10, 12}, {145, 354}

• Related Centers: X₁₀ (SPIEKER CENTER), X₁₂ ({X), X₁₄₅ (ANTICOMPLEMENT OF NAGEL POINT), X₃₅₄ (WEILL POINT)

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(b + c)(3b^{2} + 3c^{2} - 3a^{2} - 10bc)\)

Search Value (6, 9, 13): \(1.997824953790\)

▸ Incident Central Lines6 lines

{10, 12}, {145, 354}, {517, 3526}, {942, 3632}, {1706, 3689}, {3057, 3616}