X1624

TCC-PERSPECTOR OF X162

X1624 is the tcc-perspector of X162.
< 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, 113 }: Central Line L(3, 113) { 25, 132 }: Central Line L(25, 132) { 110, 351 }: Central Line L(110, 351) { 112, 1301 }: Central Line L(112, 1301) { 925, 1302 }: Central Line L(925, 1302) { 933, 1304 }: Central Line L(933, 1304) 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_113 = JERABEK ANTIPODE (0.4319, 0.4718) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_132 = ∩X(4)X(32) (0.5642, 0.5039) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_351 = CENTER OF THE PARRY CIRCLE (1.3537, 1.1619) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_1301 = COLLINGS TRANSFORM OF X(235) (0.6568, 0.5877) X_925 = ANTICOMPLEMENT OF X(136) (0.0074, -0.0312) X_1302 = COLLINGS TRANSFORM OF X(381) (0.3827, 0.5987) X_933 = -CROSS CONJUGATE OF X(250) (0.4754, 0.6118) X_1304 = COLLINGS TRANSFORM OF X(403) (0.7822, 0.5273) X_1624 = TCC-PERSPECTOR OF X(162) (0.4025, 0.6319) A B C X3 X113 X25 X132 X110 X351 X112 X1301 X925 X1302 X933 X1304 X1624 (a, b, c) = (5, 6, 7) | AB = 1

X1624 (TCC-PERSPECTOR OF X162) 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): \(0.534243871948\)
▸ Incident Central Lines7 lines

{3, 113}, {25, 132}, {110, 351}, {112, 1301}, {852, 1503}, {925, 1302}, {933, 1304}