X₃₉₂₁

X₃₅₂₄com(EXTOUCH TRIANGLE)

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

X₃₉₂₁ (X₃₅₂₄com(EXTOUCH TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {10, 12}, {405, 3158}

• Related Centers: X₁₀ (SPIEKER CENTER), X₁₂ ({X), X₄₀₅ (EULER LINE INTERCEPT OF LINE X), X₃₁₅₈ (-CEVA CONJUGATE OF X₉)

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(b + c)(b^{2} + c^{2} - a^{2} + 8bc)\)

Search Value (6, 9, 13): \(3.384362558505\)

▸ Incident Central Lines6 lines

{10, 12}, {392, 3679}, {405, 3158}, {517, 3545}, {1698, 3555}, {1962, 3214}