X2273

X2-ISOCONJUGATE OF X977

< 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, 6 }: Incenter–Symmedian Line { 39, 48 }: Central Line L(39, 48) { 32, 71 }: Central Line L(32, 71) { 172, 579 }: Central Line L(172, 579) { 41, 2092 }: Central Line L(41, 2092) { 42, 2175 }: Central Line L(42, 2175) 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_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_172 = TRILINEAR PRODUCT X(6)*X(171) (0.6080, 0.2866) X_579 = HARMONIC OF X(284) (0.7212, 0.4674) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_2092 = DANNEELS-APOLLONIUS PERSPECTOR (0.5833, 0.2396) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_2175 = -ISOCONJUGATE OF X(85) (0.6102, 0.2574) X_2273 = -ISOCONJUGATE OF X(977) (0.5838, 0.2480) A B C X1 X6 X39 X48 X32 X71 X172 X579 X41 X2092 X42 X2175 X2273 (a, b, c) = (5, 6, 7) | AB = 1

X2273 (X2-ISOCONJUGATE OF X977) 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 X977
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.300410651053\)
▸ Incident Central Lines12 lines

{1, 6}, {32, 71}, {39, 48}, {41, 2092}, {42, 2175}, {101, 2277}, {172, 579}, {284, 2276}, {609, 2305}, {1409, 2156}, {1974, 2356}, {2242, 2260}