X₂₈₁₂

ISOGONAL CONJUGATE OF X₂₇₂₈

X₂₈₁₂ is the isogonal conjugate of X₂₇₂₈.

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

X₂₈₁₂ (ISOGONAL CONJUGATE OF X₂₇₂₈) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {101, 108}, {116, 123}

• Related Centers: X₂₇₂₈ (SR(X₁₀₁, X₁₀₈)), X₁₀₁ (Ψ(INCENTER, SYMMEDIAN POINT)), X₁₀₈ (Ψ(CIRCUMCENTER, INCENTER)), X₁₁₆ (MIDPOINT OF X₄ AND X₁₀₃), 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 X₂₇₂₈

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

▸ Incident Central Lines5 lines

{30, 511}, {101, 108}, {103, 1295}, {116, 123}, {1359, 1362}

▸ Functional Relations1 relation

• X₂₈₁₂ = isogonal conjugate of X₂₇₂₈