X2203

X2-ISOCONJUGATE OF X306

X2203 = X75-isoconjugate of X72
< 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, 25 }: Central Line L(6, 25) { 28, 60 }: Central Line L(28, 60) { 112, 739 }: Central Line L(112, 739) { 209, 692 }: Central Line L(209, 692) { 58, 1473 }: Central Line L(58, 1473) { 468, 1211 }: Central Line L(468, 1211) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_739 = EVEN (- 1, 0) CIRCUMCIRCLE POINT (1.0101, 0.0884) X_209 = -CEVA CONJUGATE OF X(37) (0.7303, 0.4592) X_692 = -CEVA CONJUGATE OF X(101) (0.2833, 0.5715) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_1473 = -BETH CONJUGATE OF X(1040) (0.5906, 0.1432) X_468 = -LINE CONJUGATE OF X(3) (0.7498, 0.7558) X_1211 = ISOGONAL CONJUGATE OF X(1169) (0.5137, 0.1744) X_2203 = -ISOCONJUGATE OF X(306) (0.6387, 0.4822) A B C X6 X25 X28 X60 X112 X739 X209 X692 X58 X1473 X468 X1211 X2203 (a, b, c) = (5, 6, 7) | AB = 1

X2203 (X2-ISOCONJUGATE OF X306) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a^{2}/((a^{2} - b^{2} - c^{2}) (b + c)) : :\)
Search Value (6, 9, 13): \(-0.147032760920\)
▸ Alternate Coordinates1 form

  • Trilinears: \((\tan A) a^{2}/(b + c) : :\)

▸ Incident Central Lines14 lines

{6, 25}, {19, 2214}, {28, 60}, {31, 1932}, {58, 1473}, {112, 739}, {209, 692}, {468, 1211}, {604, 1395}, {608, 1397}, {1172, 1824}, {1396, 1462}, {1398, 1407}, {2308, 2354}

▸ Functional Relations4 relations