X2263

X2-ISOCONJUGATE OF X949

< 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, 7 }: Soddy Line { 6, 19 }: Central Line L(6, 19) { 31, 57 }: Central Line L(31, 57) { 42, 223 }: Central Line L(42, 223) { 226, 612 }: Central Line L(226, 612) { 4, 1041 }: Central Line L(4, 1041) 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_7 = GERGONNE POINT (0.5903, 0.2769) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_19 = CLAWSON POINT (0.6246, 0.4244) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_223 = -CEVA CONJUGATE OF X(57) (0.4996, -0.0528) X_226 = -CEVA CONJUGATE OF X(65) (0.5778, 0.2588) X_612 = INTERSECTION OF LINES X(1)X(2) AND X(9)X(31) (0.5582, 0.2203) X_4 = ORTHOCENTER (0.6122, 0.3958) X_1041 = ISOGONAL CONJUGATE OF X(1040) (0.6147, 0.4401) X_2263 = -ISOCONJUGATE OF X(949) (0.6079, 0.3177) A B C X1 X7 X6 X19 X31 X57 X42 X223 X226 X612 X4 X1041 X2263 (a, b, c) = (5, 6, 7) | AB = 1

X2263 (X2-ISOCONJUGATE OF X949) 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 X949
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.324075294447\)
▸ Incident Central Lines16 lines

{1, 7}, {4, 1041}, {6, 19}, {31, 57}, {33, 1836}, {40, 1253}, {42, 223}, {55, 1427}, {56, 1279}, {196, 1096}, {226, 612}, {238, 1445}, {241, 1001}, {354, 1407}, {968, 1214}, {1394, 1468}