X₂₈₄₅

ISOGONAL CONJUGATE OF X₂₇₆₁

X₂₈₄₅ is the isogonal conjugate of X₂₇₆₁.

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

X₂₈₄₅ (ISOGONAL CONJUGATE OF X₂₇₆₁) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {107, 108}, {122, 123}

• Related Centers: X₂₇₆₁ (SR(X₁₀₇, X₁₀₈)), X₁₀₇ (Ψ(SYMMEDIAN POINT, ORTHOCENTER)), X₁₀₈ (Ψ(CIRCUMCENTER, INCENTER)), X₁₂₂ (-OF-MEDIAL-TRIANGLE), X₁₂₃ (-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 X₂₇₆₁

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

▸ Incident Central Lines4 lines

{30, 511}, {107, 108}, {122, 123}, {1294, 1295}

▸ Functional Relations1 relation

• X₂₈₄₅ = isogonal conjugate of X₂₇₆₁