X₁₂₆₂

ISOGONAL CONJUGATE OF X₁₁₄₆

X₁₂₆₂ is the isogonal conjugate of X₁₁₄₆.

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

X₁₂₆₂ (ISOGONAL CONJUGATE OF X₁₁₄₆) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Related Centers: X₁₁₄₆ (CENTER OF HYPERBOLA {{A,B,C,X)

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as in X₁₁₄₆), X₁₂₆₂ lies on these lines: 36,59 109,663 241,1252 651,905 919,934 1019,1020

Search Value (6, 9, 13): \(0.014689094244\)

▸ Functional Relations8 relations

• X₁₂₆₂ = isogonal conjugate of X₁₁₄₆

• X₁₂₆₂ = isotomic conjugate of X₂₃₉₇₈

• X₁₂₆₂ = anticomplement of complementary conjugate of X₁₇₀₄₄

• X₁₂₆₂ = X_i-cross conjugate of X_j for these (i,j): (6, 109), (48, 110), (198, 100)

• X₁₂₆₂ = cevapoint of X_i and X_j for these (i,j): (3, 101), (6, 109)

• X₁₂₆₂ = cevapoint of circumcircle intercepts of line X₆X₄₁ (or of circle {{X₁,X₁₅,X₁₆}} (V(X₁))

• X₁₂₆₂ = trilinear pole of line X₁₀₉X₆₉₂ (the tangent to the circumcircle at X₁₀₉)

• X₁₂₆₂ = X₉₂-isoconjugate of X₃₂₇₀