X1310

COLLINGS TRANSFORM OF X940

X1310 = cevapoint of X513 and X940
< 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) { 98, 336 }: Central Line L(98, 336) { 108, 664 }: Central Line L(108, 664) { 112, 662 }: Central Line L(112, 662) { 107, 811 }: Central Line L(107, 811) { 105, 1036 }: Central Line L(105, 1036) { 741, 1245 }: Central Line L(741, 1245) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_940 = POINT ALDEBARAN (0.5757, 0.2411) X_98 = TARRY POINT (0.8891, -0.2281) X_336 = ISOTOMIC CONJUGATE OF X(240) (0.7020, -0.0409) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_664 = TRILINEAR POLE OF LINE X(2)X(7) (0.2391, 0.5142) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_662 = TRILINEAR POLE OF LINE X(1)X(21) (0.1811, 0.4951) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_811 = ISOGONAL CONJUGATE OF X(810) (0.4151, 0.5616) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_1036 = ISOGONAL CONJUGATE OF X(388) (0.5632, 0.2044) X_741 = EVEN (- 1, 1) CIRCUMCIRCLE POINT (1.0071, 0.0451) X_1245 = ISOGONAL CONJUGATE OF X(1010) (0.5991, 0.2625) X_1310 = COLLINGS TRANSFORM OF X(940) (0.1699, 0.4912) A B C X513 X940 X98 X336 X108 X664 X112 X662 X107 X811 X105 X1036 X741 X1245 X1310 (a, b, c) = (5, 6, 7) | AB = 1

X1310 (COLLINGS TRANSFORM OF X940) 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 X1286)
Search Value (6, 9, 13): \(2.073447519659\)

X1310 lies on the circumcircle.

▸ Incident Central Lines6 lines

{98, 336}, {105, 1036}, {107, 811}, {108, 664}, {112, 662}, {741, 1245}

▸ Functional Relations8 relations