X1627

TCC-PERSPECTOR OF X251

X1627 is the tcc-perspector of X251.
< 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) { 2, 32 }: Central Line L(2, 32) { 25, 111 }: Central Line L(25, 111) { 110, 699 }: Central Line L(110, 699) { 3, 1180 }: Central Line L(3, 1180) { 22, 1184 }: Central Line L(22, 1184) { 23, 1196 }: Central Line L(23, 1196) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_111 = PARRY POINT (0.9885, -0.0457) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_699 = EVEN (- 4, - 2) CIRCUMCIRCLE POINT (0.9822, 0.2692) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1180 = 2nd SARAGOSSA POINT OF X(2) (0.5852, 0.2361) X_22 = EXETER POINT (0.4143, -0.1221) X_1184 = 2nd SARAGOSSA POINT OF X(25) (0.6413, 0.3116) X_23 = FAR-OUT POINT (1.3871, 2.4232) X_1196 = 3rd SARAGOSSA POINT OF X(25) (0.6432, 0.2801) X_1627 = TCC-PERSPECTOR OF X(251) (0.6795, 0.3846) A B C X2 X32 X25 X111 X110 X699 X3 X1180 X22 X1184 X23 X1196 X1627 (a, b, c) = (5, 6, 7) | AB = 1

X1627 (TCC-PERSPECTOR OF X251) 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)
Barycentrics: \(a^{2} (a^{4} + a^{2} b^{2} + a^{2} c^{2} - b^{2} c^{2}) : :\)
Search Value (6, 9, 13): \(-0.107810423585\)
▸ Incident Central Lines9 lines

{2, 32}, {3, 1180}, {22, 1184}, {23, 1196}, {25, 111}, {110, 699}, {187, 1194}, {571, 1370}, {609, 612}

▸ Functional Relations2 relations