X₁₃₆₇

BRISSE TRANSFORM OF X₁₁₂

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

X₁₃₆₇ (BRISSE TRANSFORM OF X₁₁₂) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {7, 1354}, {222, 1366}

• Related Centers: X₇ (GERGONNE POINT), X₁₃₅₄ (BRISSE TRANSFORM OF X₇₄), X₂₂₂ (-CEVA CONJUGATE OF X₅₆), X₁₃₆₆ (BRISSE TRANSFORM OF X₁₁₁)

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as above X₁₃₅₄, using X = X₁₁₂

Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)

Search Value (6, 9, 13): \(3.355784161512\)

X₁₃₆₇ lies on the incircle.

▸ Incident Central Lines2 lines

{7, 1354}, {222, 1366}