X1303

COLLINGS TRANSFORM OF X389

X1303 = cevapoint of X389 and X512
< 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) { 2, 130 }: Central Line L(2, 130) { 4, 129 }: Central Line L(4, 129) { 98, 185 }: Central Line L(98, 185) { 3, 1298 }: Central Line L(3, 1298) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_389 = CENTER OF THE TAYLOR CIRCLE (0.6078, 0.2800) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_2 = CENTROID (0.5374, 0.2000) X_130 = -OF-ORTHIC-TRIANGLE (0.6536, 0.0131) X_4 = ORTHOCENTER (0.6122, 0.3958) X_129 = -OF-ORTHIC-TRIANGLE (0.4587, 0.4847) X_98 = TARRY POINT (0.8891, -0.2281) X_185 = NAGEL POINT OF THE ORTHIC TRIANGLE (0.6033, 0.1643) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1298 = COLLINGS TRANSFORM OF X(130) (0.6949, -0.3696) X_1303 = COLLINGS TRANSFORM OF X(389) (0.3051, 0.5737) A B C X389 X512 X2 X130 X4 X129 X98 X185 X3 X1298 X1303 (a, b, c) = (5, 6, 7) | AB = 1

X1303 (COLLINGS TRANSFORM OF X389) 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): \(13.588763386026\)

X1303 lies on the circumcircle.

▸ Incident Central Lines4 lines

{2, 130}, {3, 1298}, {4, 129}, {98, 185}

▸ Functional Relations5 relations