X1923

BICENTRIC SUM OF PU(13)

X1923 = crossdifference of every pair of points on line X661X786
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 1, 21 }: Central Line L(1, 21) { 110, 719 }: Central Line L(110, 719) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_719 = EVEN (- 3, 1) CIRCUMCIRCLE POINT (1.0097, 0.1268) X_1923 = BICENTRIC SUM OF PU(13) (0.6447, 0.3295) A B C X1 X21 X110 X719 X1923 (a, b, c) = (5, 6, 7) | AB = 1

X1923 (BICENTRIC SUM OF PU(13)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a^{4}(b^{2} + c^{2}) : :\)
Search Value (6, 9, 13): \(0.266731463617\)
▸ Alternate Coordinates1 form

  • Trilinears: \(1 - \sec^{2} \omega \cos^{2} A : :\)

▸ Incident Central Lines2 lines

{1, 21}, {110, 719}

▸ Functional Relations7 relations