X1629

TCC-PERSPECTOR OF X275

X1629 is the tcc-perspector of X275.
< 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) { 4, 54 }: Central Line L(4, 54) { 25, 98 }: Central Line L(25, 98) { 22, 264 }: Central Line L(22, 264) { 23, 324 }: Central Line L(23, 324) { 251, 393 }: Central Line L(251, 393) { 436, 1495 }: Central Line L(436, 1495) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_54 = KOSNITA POINT (0.5880, 0.2176) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_98 = TARRY POINT (0.8891, -0.2281) X_22 = EXETER POINT (0.4143, -0.1221) X_264 = ISOTOMIC CONJUGATE OF CIRCUMCENTER (0.5720, 0.3293) X_23 = FAR-OUT POINT (1.3871, 2.4232) X_324 = ISOTOMIC CONJUGATE OF X(97) (0.5855, 0.3796) X_251 = ISOGONAL CONJUGATE OF X(141) (0.6177, 0.3042) X_393 = -CROSS CONJUGATE OF X(4) (0.6247, 0.5263) X_436 = EULER X(48)-7th-SUBSTITUTION POINT (0.6027, 0.3709) X_1495 = CROSSSUM OF X(2) AND X(30) (0.8194, 1.4855) X_1629 = TCC-PERSPECTOR OF X(275) (0.6231, 0.4755) A B C X4 X54 X25 X98 X22 X264 X23 X324 X251 X393 X436 X1495 X1629 (a, b, c) = (5, 6, 7) | AB = 1

X1629 (TCC-PERSPECTOR OF X275) 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): \(-5.620938637288\)
▸ Incident Central Lines7 lines

{4, 54}, {22, 264}, {23, 324}, {25, 98}, {251, 393}, {436, 1495}, {1093, 1179}

▸ Functional Relations2 relations