X1618

TCC-PERSPECTOR OF X59

X1618 is the tcc-perspector of X59.
< 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) { 59, 692 }: Central Line L(59, 692) { 110, 901 }: Central Line L(110, 901) { 513, 651 }: Central Line L(513, 651) { 109, 1459 }: Central Line L(109, 1459) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_59 = ISOGONAL CONJUGATE OF X(11) (0.5333, 0.4355) X_692 = -CEVA CONJUGATE OF X(101) (0.2833, 0.5715) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_901 = ISOGONAL CONJUGATE OF X(900) (1.0000, -0.0000) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_651 = TRILINEAR POLE OF LINE X(1)X(3) (0.3048, 0.5599) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_1459 = -BETH CONJUGATE OF X(521) (3.6667, -0.5443) X_1618 = TCC-PERSPECTOR OF X(59) (0.0333, 0.7076) A B C X59 X692 X110 X901 X513 X651 X109 X1459 X1618 (a, b, c) = (5, 6, 7) | AB = 1

X1618 (TCC-PERSPECTOR OF X59) 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): \(1.134375855023\)
▸ Incident Central Lines3 lines

{109, 1459}, {110, 901}, {513, 651}

▸ Functional Relations1 relation