X1933

CROSSDIFFERENCE OF PU(14)

X1933 = X1927-Ceva conjugate of X1932
< 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) { 31, 48 }: Central Line L(31, 48) { 32, 904 }: Central Line L(32, 904) { 896, 1101 }: Central Line L(896, 1101) { 887, 1737 }: Central Line L(887, 1737) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_904 = -HIRST INVERSE OF X(256) (0.6163, 0.2816) X_896 = INTERSECTION OF LINES X(1)X(21) AND X(9)X(750) (2.0357, 2.1579) X_1101 = TRILINEAR SQUARE OF X(110) (0.5344, 0.4306) X_887 = ISOGONAL CONJUGATE OF X(886) (0.9418, 1.4114) X_1737 = MIMOSA TRANSFORM OF X(104) (1.1156, 0.7665) X_1933 = CROSSDIFFERENCE OF PU(14) (0.8524, 0.7964) A B C X2 X31 X48 X32 X904 X896 X1101 X887 X1737 X1933 (a, b, c) = (5, 6, 7) | AB = 1

X1933 (CROSSDIFFERENCE OF PU(14)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a^{2}(a^{4} - b^{2}c^{2})\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.390935746742\)
▸ Incident Central Lines4 lines

{31, 48}, {32, 904}, {887, 1737}, {896, 1101}

▸ Functional Relations7 relations