X2221

X2-ISOCONJUGATE OF X612

X2221 = isogonal conjugate of X2345
< 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, 31 }: Central Line L(3, 31) { 6, 63 }: Central Line L(6, 63) { 57, 608 }: Central Line L(57, 608) { 222, 604 }: Central Line L(222, 604) { 84, 1039 }: Central Line L(84, 1039) { 58, 1473 }: Central Line L(58, 1473) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2345 = -ISOCONJUGATE OF X(1472) (0.5222, 0.1875) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_608 = ISOGONAL CONJUGATE OF X(345) (0.6361, 0.4975) X_222 = -CEVA CONJUGATE OF X(56) (0.5653, 0.1568) X_604 = -CEVA CONJUGATE OF X(31) (0.6442, 0.3744) X_84 = ISOGONAL CONJUGATE OF X(40) (0.6071, 0.6816) X_1039 = ISOGONAL CONJUGATE OF X(1038) (0.6094, 0.3672) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_1473 = -BETH CONJUGATE OF X(1040) (0.5906, 0.1432) X_2221 = -ISOCONJUGATE OF X(612) (0.6101, 0.2802) A B C X2345 X3 X31 X6 X63 X57 X608 X222 X604 X84 X1039 X58 X1473 X2221 (a, b, c) = (5, 6, 7) | AB = 1

X2221 (X2-ISOCONJUGATE OF X612) 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 X612
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.801411038906\)
▸ Incident Central Lines14 lines

{2, 2298}, {3, 31}, {6, 63}, {57, 608}, {58, 1473}, {84, 1039}, {222, 604}, {295, 1911}, {394, 2300}, {739, 1310}, {940, 2214}, {967, 2260}, {1203, 1707}, {1333, 1790}

▸ Functional Relations3 relations