X₃₈₀₂

X₁₉₀₉com[INVERSE(nT(bc, c²))]

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

X₃₈₀₂ (X₁₉₀₉com[INVERSE(nT(bc, c²))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {1, 39}, {238, 239}

• Related Centers: X₁ (INCENTER), X₃₉ (BROCARD MIDPOINT), X₂₃₈ (-LINE CONJUGATE OF X₃₇), X₂₃₉ (-LINE CONJUGATE OF X₄₂)

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(a^{2} - bc)^{2}(b^{2} + c^{2} + bc)\)

Search Value (6, 9, 13): \(2.597755174459\)

▸ Incident Central Lines3 lines

{1, 39}, {238, 239}, {1682, 3022}