X₂₈₄₈

ISOGONAL CONJUGATE OF X₂₇₆₄

X₂₈₄₈ is the isogonal conjugate of X₂₇₆₄.

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

X₂₈₄₈ (ISOGONAL CONJUGATE OF X₂₇₆₄) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {107, 112}, {122, 127}

• Related Centers: X₂₇₆₄ (SR(X₁₀₇, X₁₁₂)), X₁₀₇ (Ψ(SYMMEDIAN POINT, ORTHOCENTER)), X₁₁₂ (Ψ(ORTHOCENTER, SYMMEDIAN POINT)), X₁₂₂ (-OF-MEDIAL-TRIANGLE), X₁₂₇ (-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 X₂₇₆₄

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

▸ Incident Central Lines5 lines

{30, 511}, {107, 112}, {122, 127}, {132, 133}, {1294, 1297}

▸ Functional Relations1 relation

• X₂₈₄₈ = isogonal conjugate of X₂₇₆₄