X₅₅₇

(X₁,X₉)-ANSWER TO QUESTION A

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

X₅₅₇ ((X₁,X₉)-ANSWER TO QUESTION A) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {2, 178}, {1274, 1488}

• Related Centers: X₂ (CENTROID), X₁₇₈ (2nd MID-ARC POINT), X₁₂₇₄ (ISOTOMIC CONJUGATE OF X₁₁₄₃), X₁₄₈₈ (2nd STEVANOVIC POINT)

Trilinears: \(\sec A/2 \cot A/4 : \sec B/2 \cot B/4 : \sec C/2 \cot C/4\)

Barycentrics: \(\cos^{2} A/4 : \cos^{2} B/4 : \cos^{2} C/4\)

Search Value (6, 9, 13): \(2.871406702826\)

▸ Alternate Coordinates1 form

• Trilinears: \(\csc A (1 + \cos A/2) : :\)

▸ Incident Central Lines2 lines

{2, 178}, {1274, 1488}