X₂₈₁₁

ISOGONAL CONJUGATE OF X₂₇₂₇

X₂₈₁₁ is the isogonal conjugate of X₂₇₂₇.

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

X₂₈₁₁ (ISOGONAL CONJUGATE OF X₂₇₂₇) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {101, 107}, {116, 122}

• Related Centers: X₂₇₂₇ (SR(X₁₀₁, X₁₀₇)), X₁₀₁ (Ψ(INCENTER, SYMMEDIAN POINT)), X₁₀₇ (Ψ(SYMMEDIAN POINT, ORTHOCENTER)), X₁₁₆ (MIDPOINT OF X₄ AND X₁₀₃), X₁₂₂ (-OF-MEDIAL-TRIANGLE)

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as at X₂₇₂₇

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

▸ Incident Central Lines5 lines

{30, 511}, {101, 107}, {103, 1294}, {116, 122}, {118, 133}

▸ Functional Relations1 relation

• X₂₈₁₁ = isogonal conjugate of X₂₇₂₇