X₂₂₆₂

X₂-ISOCONJUGATE OF X₉₄₇

X₂₂₆₂ = intersection of tangents to hyperbola {{A, B, C,X₄,X₄₀,X₅₇}} at X₄ and X₅₇

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

X₂₂₆₂ (X₂-ISOCONJUGATE OF X₉₄₇) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {6, 19}, {1, 198}

• Related Centers: X₆ (SYMMEDIAN POINT), X₁₉ (CLAWSON POINT), X₁ (INCENTER), X₁₉₈ (-CEVA CONJUGATE OF X₆)

Trilinears: \((\tan A + \tan B + \tan C) \sin A + (\sin A + \sin B + \sin C) \tan A : :\)

Search Value (6, 9, 13): \(-0.719991648064\)

▸ Incident Central Lines34 lines

{1, 198}, {4, 1903}, {6, 19}, {9, 374}, {37, 1953}, {48, 354}, {51, 1824}, {57, 1422}, {71, 1212}, {169, 219}, {184, 2355}, {185, 1839}, {389, 1871}, {393, 1875}, {583, 2252}, {610, 942}, {909, 2160}, {960, 966}, {999, 1604}, {1012, 1741}, {1086, 1122}, {1108, 1400}, {1146, 1826}, {1172, 1905}, {1202, 2272}, {1214, 1730}, {1319, 2178}, {1455, 2199}, {1503, 1890}, {1696, 2098}, {1828, 1901}, {1836, 1851}, {2171, 2347}, {2173, 2317}

▸ Functional Relations5 relations

• X₂₂₆₂ = X_i-Ceva conjugate of X_j for these (i,j): (4, 1856), (1461, 513)

• X₂₂₆₂ = crosspoint of X_i and X_j for these (i,j): (1, 189), (4, 57)

• X₂₂₆₂ = crosssum of X_i and X_j for these (i,j): (1, 198), (3, 9)

• X₂₂₆₂ = {X₆,X₁₉}-harmonic conjugate of X₂₁₈₂

• X₂₂₆₂ = intersection of tangents to hyperbola {{A, B, C,X₄,X₄₀,X₅₇}} at X₄ and X₅₇