X2288

X2-ISOCONJUGATE OF X1065

< 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) { 32, 48 }: Central Line L(32, 48) { 216, 1195 }: Central Line L(216, 1195) { 893, 909 }: Central Line L(893, 909) { 39, 2252 }: Central Line L(39, 2252) { 213, 2183 }: Central Line L(213, 2183) 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_32 = 3rd POWER POINT (0.6400, 0.3332) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_216 = -CEVA CONJUGATE OF X(51) (0.5201, 0.1353) X_1195 = 3rd SARAGOSSA POINT OF X(19) (0.6245, 0.2796) X_893 = -CROSS CONJUGATE OF X(292) (0.5910, 0.2480) X_909 = POINT ADHAFERA (0.9286, -0.3499) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_2252 = -ISOCONJUGATE OF X(915) (1.0717, 0.4427) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_2183 = -ISOCONJUGATE OF X(104) (1.5000, 2.4495) X_2288 = -ISOCONJUGATE OF X(1065) (0.5957, 0.2397) A B C X6 X19 X32 X48 X216 X1195 X893 X909 X39 X2252 X213 X2183 X2288 (a, b, c) = (5, 6, 7) | AB = 1

X2288 (X2-ISOCONJUGATE OF X1065) 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 X1065
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.973798427665\)
▸ Incident Central Lines8 lines

{6, 19}, {32, 48}, {39, 2252}, {213, 2183}, {216, 1195}, {394, 2339}, {893, 909}, {1914, 2302}