X₃₉₁₀

X₈₃₀com[INVERSE(n(3rd EULER TRIANGLE))]

X₃₉₁₀ = crossdifference of every pair of points on line X₂X₁₂

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

X₃₉₁₀ (X₈₃₀com[INVERSE(n(3rd EULER TRIANGLE))]) 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: \((b - c)(b + c - a)(b^{2} + c^{2} + ab + ac) : :\)

▸ Incident Central Lines2 lines

{30, 511}, {3700, 4391}

▸ Functional Relations4 relations

• X₃₉₁₀ = isogonal conjugate of X₈₆₈₇

• X₃₉₁₀ = isotomic conjugate of X₆₆₄₈

• X₃₉₁₀ = crossdifference of every pair of points on line X₂X₁₂

• X₃₉₁₀ = X₈₃₀com[Inverse(n(4th Euler triangle))]