X2246

X2-ISOCONJUGATE OF X840

X2246 = crossdifference of every pair of points on line X1X2254
< 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, 41 }: Central Line L(1, 41) { 45, 55 }: Central Line L(45, 55) { 9, 100 }: Central Line L(9, 100) { 57, 88 }: Central Line L(57, 88) { 6, 244 }: Central Line L(6, 244) { 44, 513 }: Central Line L(44, 513) 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_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_45 = -BETH CONJUGATE OF X(1) (0.5418, 0.1981) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_9 = MITTENPUNKT (0.5110, 0.1615) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_88 = ISOGONAL CONJUGATE OF X(44) (1.0000, 0.0000) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_244 = -LINE CONJUGATE OF X(100) (0.7857, 0.1166) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_2246 = -ISOCONJUGATE OF X(840) (-9.4286, 8.3983) A B C X1 X41 X45 X55 X9 X100 X57 X88 X6 X244 X44 X513 X2246 (a, b, c) = (5, 6, 7) | AB = 1

X2246 (X2-ISOCONJUGATE OF X840) 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 X840
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-0.066379576809\)
▸ Incident Central Lines9 lines

{1, 41}, {6, 244}, {9, 100}, {19, 1830}, {44, 513}, {45, 55}, {57, 88}, {1054, 1743}, {1731, 2078}

▸ Functional Relations3 relations