X₇₄₉

ISOGONAL CONJUGATE OF X₇₄₈

X₇₄₉ is the isogonal conjugate of X₇₄₈.

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

X₇₄₉ (ISOGONAL CONJUGATE OF X₇₄₈) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Related Centers: X₇₄₈ (INTERSECTION OF LINES X)

Trilinears: \(1/(a^{2} - 2bc) : 1/(b^{2} - 2ca) : 1/(c^{2} - 2ab)\)

Barycentrics: \(a/(a^{2} - 2bc) : b/(b^{2} - 2ca) : c/(c^{2} - 2ab)\)

Search Value (6, 9, 13): \(-3.805555908142\)

▸ Alternate Coordinates1 form

• Trilinears: \(a^{2} + rs + bcS :: b^{2} + rs -+ caS : c^{2} + rs + abS\)

▸ Functional Relations2 relations

• X₇₄₉ = isogonal conjugate of X₇₄₈

• X₇₄₉ = isotomic conjugate of X₃₇₆₀