X2305

X2-ISOCONJUGATE OF X1247

X2305 = X1400-Ceva conjugate of X6
< 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) { 3, 6 }: Brocard Axis { 37, 171 }: Central Line L(37, 171) { 31, 199 }: Central Line L(31, 199) { 71, 172 }: Central Line L(71, 172) { 332, 524 }: Central Line L(332, 524) { 404, 992 }: Central Line L(404, 992) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1400 = -BETH CONJUGATE OF X(37) (0.6246, 0.3268) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_171 = {X(2), X(31)}-HARMONIC CONJUGATE OF X(238) (0.5819, 0.2525) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_199 = -CEVA CONJUGATE OF X(6) (0.4796, 0.0487) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_172 = TRILINEAR PRODUCT X(6)*X(171) (0.6080, 0.2866) X_332 = ISOTOMIC CONJUGATE OF X(225) (0.3595, 0.0434) X_524 = ISOGONAL CONJUGATE OF X(111) (0.1376, -0.2297) X_404 = {X(2),X(3)}-HARMONIC CONJUGATE OF X(21) (0.5538, 0.2429) X_992 = INTERSECTION OF LINES X(2)X(6) AND X(9)X(39) (0.2678, -0.0897) X_2305 = -ISOCONJUGATE OF X(1247) (0.6601, 0.3665) A B C X1400 X6 X3 X37 X171 X31 X199 X71 X172 X332 X524 X404 X992 X2305 (a, b, c) = (5, 6, 7) | AB = 1

X2305 (X2-ISOCONJUGATE OF X1247) 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 X1247
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-0.089748753508\)
▸ Incident Central Lines18 lines

{3, 6}, {31, 199}, {36, 2300}, {37, 171}, {71, 172}, {198, 1755}, {230, 1901}, {332, 524}, {404, 992}, {609, 2273}, {1010, 1213}, {1195, 1951}, {1400, 1950}, {1460, 1486}, {1654, 1931}, {1778, 2238}, {1914, 2260}, {2176, 2178}

▸ Functional Relations3 relations