X₂₀₀₁

ORTHOCORRESPONDENT OF X₃₂

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

X₂₀₀₁ (ORTHOCORRESPONDENT OF X₃₂) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {2, 98}, {1915, 1995}

• Related Centers: X₂ (CENTROID), X₉₈ (TARRY POINT), X₁₉₁₅ (CROSSSUM OF PU(11)), X₁₉₉₅ (ORTHOCORRESPONDENT OF X₆)

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = yz + (-x \cos A + y \cos B + z \cos C)x\), where \(x : y : z\) = X₃₂

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

Search Value (6, 9, 13): \(1.187602654683\)

▸ Incident Central Lines2 lines

{2, 98}, {1915, 1995}