X₂₈₅₃

ISOGONAL CONJUGATE OF X₂₇₆₉

X₂₈₅₃ is the isogonal conjugate of X₂₇₆₉.

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

X₂₈₅₃ (ISOGONAL CONJUGATE OF X₂₇₆₉) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {109, 112}, {117, 132}

• Related Centers: X₂₇₆₉ (SR(X₁₀₉, X₁₁₂)), X₁₀₉ (Ψ(INCENTER, CIRCUMCENTER)), X₁₁₂ (Ψ(ORTHOCENTER, SYMMEDIAN POINT)), X₁₁₇ (MIDPOINT OF X₄ AND X₁₀₉), X₁₃₂ (∩X₄X₃₂)

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as at X₂₇₆₉

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

▸ Incident Central Lines5 lines

{30, 511}, {102, 1297}, {109, 112}, {117, 132}, {124, 127}

▸ Functional Relations1 relation

• X₂₈₅₃ = isogonal conjugate of X₂₇₆₉