X₂₈₈₁

ISOGONAL CONJUGATE OF X₂₈₆₇

X₂₈₈₁ is the isogonal conjugate of X₂₈₆₇.

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

X₂₈₈₁ (ISOGONAL CONJUGATE OF X₂₈₆₇) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {30, 511}, {112, 1576}

• Related Centers: X₂₈₆₇ (SM(X₁₀₇, X₁₁₀)), X₃₀ (EULER INFINITY POINT), X₅₁₁ (ISOGONAL CONJUGATE OF X₉₈), X₁₁₂ (Ψ(ORTHOCENTER, SYMMEDIAN POINT)), X₁₅₇₆ (ISOGONAL CONJUGATE OF X₈₅₀)

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as at X₂₈₆₇

Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)

▸ Incident Central Lines6 lines

{30, 511}, {32, 2508}, {112, 1576}, {154, 1636}, {684, 1297}, {2501, 2506}

▸ Functional Relations2 relations

• X₂₈₈₁ = isogonal conjugate of X₂₈₆₇

• X₂₈₈₁ = orthic-isogonal conjugate of X₃₃₅₀₄