X2281

X2-ISOCONJUGATE OF X1010

X2281 = X2221-Ceva conjugate of X1245
< 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, 63 }: Central Line L(6, 63) { 32, 48 }: Central Line L(32, 48) { 71, 213 }: Central Line L(71, 213) { 966, 981 }: Central Line L(966, 981) { 31, 1974 }: Central Line L(31, 1974) { 729, 1310 }: Central Line L(729, 1310) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2221 = -ISOCONJUGATE OF X(612) (0.6101, 0.2802) X_1245 = ISOGONAL CONJUGATE OF X(1010) (0.5991, 0.2625) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_966 = INTERSECTION OF LINES X(2)X(6) AND X(4)X(9) (0.5191, 0.1803) X_981 = ISOGONAL CONJUGATE OF X(980) (0.5781, 0.2464) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_1974 = BARYCENTRIC PRODUCT OF PU(39) (0.6402, 0.4907) X_729 = EVEN (- 2, 0) CIRCUMCIRCLE POINT (1.0096, 0.1290) X_1310 = COLLINGS TRANSFORM OF X(940) (0.1699, 0.4912) X_2281 = -ISOCONJUGATE OF X(1010) (0.6224, 0.2961) A B C X2221 X1245 X6 X63 X32 X48 X71 X213 X966 X981 X31 X1974 X729 X1310 X2281 (a, b, c) = (5, 6, 7) | AB = 1

X2281 (X2-ISOCONJUGATE OF X1010) 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 X1010
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.580780647250\)
▸ Incident Central Lines8 lines

{6, 63}, {19, 2207}, {31, 1974}, {32, 48}, {71, 213}, {228, 1918}, {729, 1310}, {966, 981}

▸ Functional Relations2 relations