X2261

X2-ISOCONJUGATE OF X945

< 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, 19 }: Central Line L(6, 19) { 9, 48 }: Central Line L(9, 48) { 33, 184 }: Central Line L(33, 184) { 44, 198 }: Central Line L(44, 198) { 579, 610 }: Central Line L(579, 610) { 154, 1864 }: Central Line L(154, 1864) 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_19 = CLAWSON POINT (0.6246, 0.4244) X_9 = MITTENPUNKT (0.5110, 0.1615) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_198 = -CEVA CONJUGATE OF X(6) (0.4741, -0.0381) X_579 = HARMONIC OF X(284) (0.7212, 0.4674) X_610 = -CEVA CONJUGATE OF X(1) (0.4310, -0.2713) X_154 = -CEVA CONJUGATE OF X(6) (0.4807, -0.3954) X_1864 = ZOSMA TRANSFORM OF X(278) (0.5992, 0.2325) X_2261 = -ISOCONJUGATE OF X(945) (0.5718, 0.0871) A B C X6 X19 X9 X48 X33 X184 X44 X198 X579 X610 X154 X1864 X2261 (a, b, c) = (5, 6, 7) | AB = 1

X2261 (X2-ISOCONJUGATE OF X945) 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 X945
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-21.089614971770\)
▸ Incident Central Lines15 lines

{1, 2317}, {6, 19}, {9, 48}, {33, 184}, {44, 198}, {154, 1864}, {573, 2252}, {579, 610}, {1181, 1753}, {1449, 1953}, {1630, 1723}, {1728, 2360}, {1766, 2323}, {2173, 2270}, {2268, 2302}