X2277

X2-ISOCONJUGATE OF X987

X2277 = crosspoint of X2 and X959
< 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, 37 }: Central Line L(2, 37) { 6, 41 }: Central Line L(6, 41) { 9, 39 }: Central Line L(9, 39) { 31, 199 }: Central Line L(31, 199) { 19, 232 }: Central Line L(19, 232) { 213, 579 }: Central Line L(213, 579) 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_959 = ISOGONAL CONJUGATE OF X(958) (0.6111, 0.3031) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_9 = MITTENPUNKT (0.5110, 0.1615) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_199 = -CEVA CONJUGATE OF X(6) (0.4796, 0.0487) X_19 = CLAWSON POINT (0.6246, 0.4244) X_232 = -CEVA CONJUGATE OF X(132) (0.6919, 0.7779) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_579 = HARMONIC OF X(284) (0.7212, 0.4674) X_2277 = -ISOCONJUGATE OF X(987) (0.5901, 0.2433) A B C X2 X959 X37 X6 X41 X9 X39 X31 X199 X19 X232 X213 X579 X2277 (a, b, c) = (5, 6, 7) | AB = 1

X2277 (X2-ISOCONJUGATE OF X987) 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 X987
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.298145362761\)
▸ Incident Central Lines18 lines

{1, 2092}, {2, 37}, {6, 41}, {9, 39}, {19, 232}, {31, 199}, {71, 2176}, {101, 2273}, {213, 579}, {256, 1740}, {404, 2298}, {478, 1470}, {573, 995}, {800, 2257}, {966, 1107}, {1015, 1449}, {1201, 2269}, {1444, 1778}

▸ Functional Relations2 relations