X₂₈₄₆

ISOGONAL CONJUGATE OF X₂₇₆₂

X₂₈₄₆ is the isogonal conjugate of X₂₇₆₂.

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

X₂₈₄₆ (ISOGONAL CONJUGATE OF X₂₇₆₂) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {107, 109}, {122, 124}

• Related Centers: X₂₇₆₂ (SR(X₁₀₇, X₁₀₉)), X₁₀₇ (Ψ(SYMMEDIAN POINT, ORTHOCENTER)), X₁₀₉ (Ψ(INCENTER, CIRCUMCENTER)), X₁₂₂ (-OF-MEDIAL-TRIANGLE), X₁₂₄ (-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 X₂₇₆₂

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

▸ Incident Central Lines5 lines

{30, 511}, {102, 1294}, {107, 109}, {117, 133}, {122, 124}

▸ Functional Relations1 relation

• X₂₈₄₆ = isogonal conjugate of X₂₇₆₂