X2251

X2-ISOCONJUGATE OF X903

X2251 = crossdifference of every pair of points on line X75X693
< 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) { 6, 36 }: Central Line L(6, 36) { 31, 32 }: Central Line L(31, 32) { 187, 672 }: Central Line L(187, 672) { 667, 788 }: Central Line L(667, 788) { 902, 1017 }: Central Line L(902, 1017) { 101, 1914 }: Central Line L(101, 1914) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_187 = INVERSE-IN-CIRCUMCIRCLE OF X(6) (SCHOUTE CENTER) (1.1986, 1.2559) X_672 = CROSSDIFFERENCE OF X(1) AND X(514) (1.9245, 2.2184) X_667 = CROSSDIFFERENCE OF X(2) AND X(37) (-6.1667, 5.7155) X_788 = ODD (- 3, 0) INFINITY POINT (1.0251, -0.1264) X_902 = CROSSPOINT OF X(6) AND X(106) (1.2500, 1.2247) X_1017 = POINT ALFIRK (0.4054, 0.3972) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_1914 = CROSSDIFFERENCE OF PU(10) (1.1181, 1.0304) X_2251 = -ISOCONJUGATE OF X(903) (0.9633, 0.9438) A B C X6 X36 X31 X32 X187 X672 X667 X788 X902 X1017 X101 X1914 X2251 (a, b, c) = (5, 6, 7) | AB = 1

X2251 (X2-ISOCONJUGATE OF X903) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X903
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-0.800747710091\)
▸ Incident Central Lines11 lines

{6, 36}, {31, 32}, {101, 1914}, {187, 672}, {667, 788}, {758, 2243}, {902, 1017}, {1015, 1055}, {1319, 2087}, {2174, 2220}, {2242, 2280}

▸ Functional Relations7 relations