X1633

TCC-PERSPECTOR OF X651

X1633 is the tcc-perspector of X651.
< 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) { 651, 692 }: Central Line L(651, 692) { 108, 109 }: Central Line L(108, 109) { 100, 190 }: Central Line L(100, 190) { 105, 1086 }: Central Line L(105, 1086) { 59, 1310 }: Central Line L(59, 1310) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_651 = TRILINEAR POLE OF LINE X(1)X(3) (0.3048, 0.5599) X_692 = -CEVA CONJUGATE OF X(101) (0.2833, 0.5715) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_1086 = CENTER OF HYPERBOLA {{A,B,C,X(2),X(7)|} (0.7687, 0.1000) X_59 = ISOGONAL CONJUGATE OF X(11) (0.5333, 0.4355) X_1310 = COLLINGS TRANSFORM OF X(940) (0.1699, 0.4912) X_1633 = TCC-PERSPECTOR OF X(651) (0.2619, 0.5832) A B C X651 X692 X108 X109 X100 X190 X105 X1086 X59 X1310 X1633 (a, b, c) = (5, 6, 7) | AB = 1

X1633 (TCC-PERSPECTOR OF X651) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = (a^{2} + b^{2} + c^{2} - 2bc)/(b - c)\) (M. Iliev, 5/13/07)
Search Value (6, 9, 13): \(0.901906899783\)
▸ Incident Central Lines12 lines

{7, 1486}, {19, 1721}, {20, 1610}, {28, 1770}, {48, 1742}, {59, 1310}, {99, 1310}, {100, 190}, {101, 1292}, {105, 1086}, {108, 109}, {497, 1473}

▸ Functional Relations6 relations