X2267

X2-ISOCONJUGATE OF X957

< 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, 31 }: Central Line L(6, 31) { 9, 48 }: Central Line L(9, 48) { 41, 44 }: Central Line L(41, 44) { 37, 604 }: Central Line L(37, 604) { 374, 910 }: Central Line L(374, 910) { 284, 1743 }: Central Line L(284, 1743) 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_31 = 2nd POWER POINT (0.6228, 0.3008) X_9 = MITTENPUNKT (0.5110, 0.1615) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_604 = -CEVA CONJUGATE OF X(31) (0.6442, 0.3744) X_374 = CENTROID OF THE PEDAL TRIANGLE OF X(9) (0.5449, 0.2238) X_910 = CROSSPOINT OF X(57) AND X(105) (1.3163, 2.5495) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_1743 = MIMOSA TRANSFORM OF X(222) (0.6798, 0.3620) X_2267 = -ISOCONJUGATE OF X(957) (0.5204, 0.1500) A B C X6 X31 X9 X48 X41 X44 X37 X604 X374 X910 X284 X1743 X2267 (a, b, c) = (5, 6, 7) | AB = 1

X2267 (X2-ISOCONJUGATE OF X957) 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 X957
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(4.461572754457\)
▸ Incident Central Lines19 lines

{3, 2183}, {6, 31}, {9, 48}, {37, 604}, {41, 44}, {169, 2173}, {219, 2317}, {284, 1743}, {374, 910}, {573, 2077}, {1212, 2182}, {1334, 1404}, {1400, 1470}, {1405, 2245}, {1474, 2297}, {1766, 1953}, {1802, 2302}, {1903, 2208}, {2285, 2294}