X3838

X226com(3rd EULER TRIANGLE)

X3838 = complement of X4640
< 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) { 226, 518 }: Central Line L(226, 518) { 30, 1125 }: Central Line L(30, 1125) { 2, 1155 }: Central Line L(2, 1155) { 442, 960 }: Central Line L(442, 960) { 142, 1538 }: Central Line L(142, 1538) { 65, 2476 }: Central Line L(65, 2476) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_226 = -CEVA CONJUGATE OF X(65) (0.5778, 0.2588) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_1125 = COMPLEMENT OF X(10) (0.5459, 0.2083) X_2 = CENTROID (0.5374, 0.2000) X_1155 = SCHRÖDER POINT (1.7143, 2.3328) X_442 = COMPLEMENT OF SCHIFFLER POINT (0.5418, 0.2114) X_960 = INTERSECTION OF LINES X(1)X(6) AND X(5)X(10) (0.5041, 0.1533) X_142 = COMPLEMENT OF X(9) (0.5506, 0.2192) X_1538 = ORTHOJOIN OF X(45) (1.0204, 1.6122) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_2476 = INVERSE-IN-ORTHOCENTROIDAL-CIRCLE OF X(21) (0.5445, 0.2185) X_3838 = com(3rd EULER TRIANGLE) (0.5547, 0.2313) A B C X226 X518 X30 X1125 X2 X1155 X442 X960 X142 X1538 X65 X2476 X3838 (a, b, c) = (5, 6, 7) | AB = 1

X3838 (X226com(3rd EULER TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = 2b^{3} + 2c^{3} - a^{2}b - a^{2}c - ab^{2} - ac^{2} - 2b^{2}c - 2bc^{2}\)
Search Value (6, 9, 13): \(1.816460691331\)
▸ Incident Central Lines13 lines

{2, 1155}, {11, 3742}, {30, 1125}, {65, 2476}, {142, 1538}, {149, 3748}, {226, 518}, {442, 960}, {908, 3740}, {1001, 1699}, {1376, 3256}, {2475, 2646}, {3120, 3666}

▸ Functional Relations1 relation

  • X3838 = complement of X4640