X₂₈₃₃

ISOGONAL CONJUGATE OF X₂₇₄₉

X₂₈₃₃ is the isogonal conjugate of X₂₇₄₉.

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

X₂₈₃₃ (ISOGONAL CONJUGATE OF X₂₇₄₉) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {105, 107}, {120, 122}

• Related Centers: X₂₇₄₉ (SR(X₁₀₅, X₁₀₇)), X₁₀₅ (Λ(INCENTER, SYMMEDIAN POINT)), X₁₀₇ (Ψ(SYMMEDIAN POINT, ORTHOCENTER)), X₁₂₀ (-OF-MEDIAL-TRIANGLE), 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 X₂₇₄₉

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

▸ Incident Central Lines4 lines

{30, 511}, {105, 107}, {120, 122}, {1292, 1294}

▸ Functional Relations1 relation

• X₂₈₃₃ = isogonal conjugate of X₂₇₄₉