X2303

X2-ISOCONJUGATE OF X1245

< 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) { 2, 6 }: Centroid–Symmedian Line { 1, 19 }: Central Line L(1, 19) { 21, 37 }: Central Line L(21, 37) { 9, 58 }: Central Line L(9, 58) { 71, 171 }: Central Line L(71, 171) { 241, 1014 }: Central Line L(241, 1014) 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_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_1 = INCENTER (0.5714, 0.2333) X_19 = CLAWSON POINT (0.6246, 0.4244) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_9 = MITTENPUNKT (0.5110, 0.1615) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_171 = {X(2), X(31)}-HARMONIC CONJUGATE OF X(238) (0.5819, 0.2525) X_241 = -LINE CONJUGATE OF X(55) (1.1217, 1.2442) X_1014 = ISOGONAL CONJUGATE OF X(210) (0.6222, 0.3285) X_2303 = -ISOCONJUGATE OF X(1245) (0.5727, 0.2379) A B C X2 X6 X1 X19 X21 X37 X9 X58 X71 X171 X241 X1014 X2303 (a, b, c) = (5, 6, 7) | AB = 1

X2303 (X2-ISOCONJUGATE OF X1245) 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 X1245
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.615060454688\)
▸ Incident Central Lines12 lines

{1, 19}, {2, 6}, {9, 58}, {21, 37}, {71, 171}, {226, 1396}, {241, 1014}, {388, 2286}, {1010, 2345}, {1038, 2285}, {1761, 2292}, {1936, 2269}