X1617

TCC-PERSPECTOR OF X57

X1617 is the tcc-perspector of X57.
< 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) { 1, 3 }: OI Line (Incenter–Circumcenter Line) { 25, 105 }: Central Line L(25, 105) { 31, 222 }: Central Line L(31, 222) { 22, 347 }: Central Line L(22, 347) { 388, 405 }: Central Line L(388, 405) { 221, 595 }: Central Line L(221, 595) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_222 = -CEVA CONJUGATE OF X(56) (0.5653, 0.1568) X_22 = EXETER POINT (0.4143, -0.1221) X_347 = ISOTOMIC CONJUGATE OF X(280) (0.4531, -0.0404) X_388 = ∩X(7)X(8) (0.5790, 0.2635) X_405 = EULER LINE INTERCEPT OF LINE X(1)X(6) (0.5325, 0.1870) X_221 = -CEVA CONJUGATE OF X(56) (0.5474, -0.0688) X_595 = 2nd HATZIPOLAKIS-YIU POINT (0.6456, 0.3307) X_1617 = TCC-PERSPECTOR OF X(57) (0.6629, 0.4014) A B C X1 X3 X25 X105 X31 X222 X22 X347 X388 X405 X221 X595 X1617 (a, b, c) = (5, 6, 7) | AB = 1

X1617 (TCC-PERSPECTOR OF X57) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) (see note above X1601)
Search Value (6, 9, 13): \(-0.042477917525\)
▸ Incident Central Lines23 lines

{1, 3}, {6, 1174}, {7, 1621}, {22, 347}, {25, 105}, {31, 222}, {41, 1202}, {42, 1471}, {109, 1407}, {219, 604}, {221, 595}, {226, 1001}, {388, 405}, {479, 934}, {518, 1260}, {602, 1066}, {614, 1465}, {910, 1108}, {1006, 1056}, {1055, 1200}, {1279, 1427}, {1362, 1397}, {1384, 1415}

▸ Functional Relations9 relations