X₈₉₄

ISOGONAL CONJUGATE OF X₈₉₃

X₈₉₄ is the isogonal conjugate of X₈₉₃.

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

X₈₉₄ (ISOGONAL CONJUGATE OF X₈₉₃) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {319, 594}

• Related Centers: X₃₁₉ (ISOTOMIC CONJUGATE OF X₇₉), X₅₉₄ (ISOGONAL CONJUGATE OF X₅₉₃)

Trilinears: \((a^{2} + bc)/a : :\)

Search Value (6, 9, 13): \(2.255850982715\)

▸ Incident Central Lines19 lines

{1, 87}, {2, 7}, {6, 75}, {8, 193}, {10, 1046}, {37, 86}, {42, 1045}, {65, 257}, {72, 1010}, {81, 314}, {92, 608}, {141, 320}, {213, 274}, {256, 291}, {273, 458}, {287, 651}, {312, 940}, {319, 524}, {536, 1100}

▸ Functional Relations13 relations

• X₈₉₄ = reflection of X₃₁₉ in X₅₉₄

• X₈₉₄ = isogonal conjugate of X₈₉₃

• X₈₉₄ = isotomic conjugate of X₂₅₇

• X₈₉₄ = complement of X₆₆₄₆

• X₈₉₄ = anticomplement of X₄₃₅₇

• X₈₉₄ = X₂₉₁-Ceva conjugate of X₂₃₉

• X₈₉₄ = crossdifference of every pair of points on line X₆₆₃X₇₈₈

• X₈₉₄ = intersection of tangents at PU(6) to hyperbola {A, B, C,X₇₈₉,PU(6)}

• X₈₉₄ = crosspoint of PU(6)

• X₈₉₄ = crosssum of PU(8)

• X₈₉₄ = X₁₇₁-Hirst inverse of X₃₈₅

• X₈₉₄ = perspector of Gemini triangle 4 and cross-triangle of ABC and Gemini triangle 4

• X₈₉₄ = trilinear pole of perspectrix of ABC and Gemini triangle 3