X₁₉₂₉

ISOGONAL CONJUGATE OF X₁₇₅₇

X₁₉₂₉ is the isogonal conjugate of X₁₇₅₇.

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

X₁₉₂₉ (ISOGONAL CONJUGATE OF X₁₇₅₇) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Related Centers: X₁₇₅₇ (MIMOSA TRANSFORM OF X₂₉₅)

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = 1/[-(\cos A)/x + (\cos B)/y + (\cos C)/z]\), where \(x : y : z\) = X₂₉₅

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

Search Value (6, 9, 13): \(0.939618676213\)

X₁₉₂₉ lies on ths line: 1,3125 2,846 105,2702 1758,2006 2640,3122

▸ Functional Relations4 relations

• X₁₉₂₉ = isogonal conjugate of X₁₇₅₇

• X₁₉₂₉ = cevapoint of X_i and X_j for these (i,j): (244, 659), (1966, 1909)

• X₁₉₂₉ = X₂₃₈-cross conjugate of X₁

• X₁₉₂₉ = trilinear pole of PU(31) (line X₅₁₃X₁₁₀₀)