X1615

TCC-PERSPECTOR OF X55

X1615 is the tcc-perspector of X55.
< 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) { 6, 57 }: Central Line L(6, 57) { 165, 220 }: Central Line L(165, 220) { 56, 1200 }: Central Line L(56, 1200) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_220 = -CEVA CONJUGATE OF X(55) (0.4826, 0.1278) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_1200 = 3rd SARAGOSSA POINT OF X(55) (0.5972, 0.2387) X_1615 = TCC-PERSPECTOR OF X(55) (0.4519, -0.2046) A B C X6 X57 X165 X220 X56 X1200 X1615 (a, b, c) = (5, 6, 7) | AB = 1

X1615 (TCC-PERSPECTOR OF X55) 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): \(-6.657176369483\)
▸ Incident Central Lines3 lines

{6, 57}, {56, 1200}, {165, 220}

▸ Functional Relations1 relation