X₁₈₇₁

ZOSMA TRANSFORM OF X₄₉₈

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

X₁₈₇₁ (ZOSMA TRANSFORM OF X₄₉₈) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {4, 8}, {3, 19}

• Related Centers: X₄ (ORTHOCENTER), X₈ (NAGEL POINT), X₃ (CIRCUMCENTER), X₁₉ (CLAWSON POINT)

Trilinears: (y + z) sec A : (z + x) sec B : (x + y) sec C,\(x : y : z\) = X₄₉₈

Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X₄₉₈

Search Value (6, 9, 13): \(-4.076700457229\)

▸ Incident Central Lines18 lines

{1, 1859}, {3, 19}, {4, 8}, {5, 1848}, {28, 1385}, {29, 392}, {33, 1598}, {52, 916}, {65, 1243}, {225, 1831}, {273, 1148}, {278, 942}, {354, 1844}, {580, 1731}, {581, 1841}, {952, 1891}, {1595, 1861}, {1597, 1753}