X₂₆₇₇

RS(X₇₄, X₁₀₀)

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

X₂₆₇₇ (RS(X₇₄, X₁₀₀)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {119, 517}, {125, 523}

• Related Centers: X₁₁₉ (FEUERBACH ANTIPODE), X₅₁₇ (ISOGONAL CONJUGATE OF X₁₀₄), X₁₂₅ (CENTER OF JERABEK HYPERBOLA), X₅₂₃ (ISOGONAL CONJUGATE OF X₁₁₀)

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as given just before X₂₆₇₇ using P = X₇₄, U = X₁₀₀

Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)

Search Value (6, 9, 13): \(5.092424205756\)

▸ Incident Central Lines3 lines

{119, 517}, {125, 523}, {673, 2481}