X₂₀₈₇

PK-TRANSFORM OF X₁₀₀

X₂₀₈₇ = bicentric difference of PU(114)

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

X₂₀₈₇ (PK-TRANSFORM OF X₁₀₀) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {1, 6}, {244, 665}

• Related Centers: X₁ (INCENTER), X₆ (SYMMEDIAN POINT), X₂₄₄ (-LINE CONJUGATE OF X₁₀₀), X₆₆₅ (CROSSDIFFERENCE OF X₂ AND X₁₁)

Trilinears: \((b + c - 2a)(b - c)^{2} : :\)

Search Value (6, 9, 13): \(66.426158968136\)

▸ Incident Central Lines3 lines

{1, 6}, {244, 665}, {1914, 1983}

▸ Functional Relations6 relations

• X₂₀₈₇ = isogonal conjugate of X₅₃₇₆

• X₂₀₈₇ = X_i-Ceva conjugate of X_j for these (i,j): (44, 1635), (88, 513), (104, 667), (1022, 764), (1319, 1960)

• X₂₀₈₇ = crosspoint of X_i and X_j for these (i,j): (1, 1022), (44, 1635), (88, 513)

• X₂₀₈₇ = crosssum of X_i and X_j for these (i,j): (1, 1023), (44, 100)

• X₂₀₈₇ = bicentric difference of PU(114)

• X₂₀₈₇ = PU(114)-harmonic conjugate of X₆₁₆₁