X1619

TCC-PERSPECTOR OF X63

X1619 is the tcc-perspector of X63.
< 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, 64 }: Central Line L(3, 64) { 22, 69 }: Central Line L(22, 69) { 161, 542 }: Central Line L(161, 542) { 25, 1503 }: Central Line L(25, 1503) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_64 = ISOGONAL CONJUGATE OF X(20) (0.5579, 1.5943) X_22 = EXETER POINT (0.4143, -0.1221) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_161 = -OF-TANGENTIAL-TRIANGLE (0.2845, -1.4852) X_542 = DIRECTION OF VECTOR AX + BX + CX, where X = X(98) (0.1649, 0.6534) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_1503 = POINT ARKAB (0.4818, -0.3843) X_1619 = TCC-PERSPECTOR OF X(63) (0.4315, -1.6641) A B C X3 X64 X22 X69 X161 X542 X25 X1503 X1619 (a, b, c) = (5, 6, 7) | AB = 1

X1619 (TCC-PERSPECTOR OF X63) 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): \(-7.832229435613\)
▸ Incident Central Lines4 lines

{3, 64}, {22, 69}, {25, 1503}, {161, 542}

▸ Functional Relations1 relation