X₇₇₁

ISOGONAL CONJUGATE OF X₇₇₀

X₇₇₁ is the isogonal conjugate of X₇₇₀.

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

X₇₇₁ (ISOGONAL CONJUGATE OF X₇₇₀) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Related Centers: X₇₇₀ (POINT ACAMAR)

Trilinears: \(1/(\cos^{3} B - \cos^{3} C) : :\)

Barycentrics: \(a (a - b) \cdot (a - c) \cdot (a + b - c) \cdot (a - b + c) \cdot (a^{6} - a^{5} b - a^{4} b^{2} + 2 a^{3} b^{3} - a^{2} b^{4} - a b^{5} + b^{6} - 2 a^{4} c^{2} + 4 a^{2} b^{2} c^{2} - 2 b^{4} c^{2} + a^{2} c^{4} + a b c^{4} + b^{2} c^{4}) \cdot (a^{6} - 2 a^{4} b^{2} + a^{2} b^{4} - a^{5} c + a b^{4} c - a^{4} c^{2} + 4 a^{2} b^{2} c^{2} + b^{4} c^{2} + 2 a^{3} c^{3} - a^{2} c^{4} - 2 b^{2} c^{4} - a c^{5} + c^{6}) : :\)

Search Value (6, 9, 13): \(1.573551824387\)

▸ Incident Central Lines1 line

{823, 4558}

▸ Functional Relations5 relations

• X₇₇₁ = isogonal conjugate of X₇₇₀

• X₇₇₁ = trilinear pole of line X₁X₁₀₉₂

• X₇₇₁ = X₇₇₀-cross conjugate of X₁

• X₇₇₁ = cevapoint of X₁ and X₇₇₀

• X₇₇₁ = barycentric quotient X₆/X₇₇₀