X2340

X2-ISOCONJUGATE OF X1462

X2340 = reflection of X1458 in X1818
< 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) { 1458, 1818 }: Central Line L(1458, 1818) { 1, 2 }: Nagel Line { 41, 55 }: Central Line L(41, 55) { 31, 218 }: Central Line L(31, 218) { 6, 480 }: Central Line L(6, 480) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1458 = -BETH CONJUGATE OF X(518) (0.8889, 0.9677) X_1818 = INVERSE MIMOSA TRANSFORM OF X(1282) (-0.1296, -0.2419) X_1 = INCENTER (0.5714, 0.2333) X_2 = CENTROID (0.5374, 0.2000) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_218 = -CEVA CONJUGATE OF X(55) (0.6557, 0.3333) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_480 = -CEVA CONJUGATE OF X(220) (0.4089, 0.0793) X_2340 = -ISOCONJUGATE OF X(1462) (-1.1481, -1.4515) A B C X1458 X1818 X1 X2 X41 X55 X31 X218 X6 X480 X2340 (a, b, c) = (5, 6, 7) | AB = 1

X2340 (X2-ISOCONJUGATE OF X1462) 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 X1462
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(7.753945595621\)
▸ Incident Central Lines16 lines

{1, 2}, {6, 480}, {9, 2293}, {31, 218}, {33, 1855}, {41, 55}, {144, 1742}, {210, 1212}, {219, 949}, {241, 518}, {650, 663}, {672, 2223}, {674, 2183}, {677, 1815}, {902, 1110}, {904, 1261}

▸ Functional Relations6 relations