X₃₈₁₀

X₅₂₅com[INVERSE(nT(-bc, c²))]

X₃₈₁₀ = isogonal conjugate of X₈₆₈₅

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

X₃₈₁₀ (X₅₂₅com[INVERSE(nT(-bc, c²))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {30, 511}

• Related Centers: X₃₀ (EULER INFINITY POINT), X₅₁₁ (ISOGONAL CONJUGATE OF X₉₈)

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

▸ Incident Central Lines1 line

{30, 511}

▸ Functional Relations1 relation

• X₃₈₁₀ = isogonal conjugate of X₈₆₈₅