X1983

VEGA TRANSFORM OF X523

X1983 = X215-cross conjugate of X110
< 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) { 3, 6 }: Brocard Axis { 101, 109 }: Central Line L(101, 109) { 919, 1027 }: Central Line L(919, 1027) { 1023, 1252 }: Central Line L(1023, 1252) { 1258, 1497 }: Central Line L(1258, 1497) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_215 = -CEVA CONJUGATE OF X(50) (0.4113, 0.3887) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_919 = ISOGONAL CONJUGATE OF X(918) (1.0058, 0.1699) X_1027 = INTERSECTION OF LINES X(1)X(514) AND X(6)X(513) (1.0130, 0.0424) X_1023 = INTERSECTION OF LINES X(1)X(6) AND X(100)X(101) (2.1429, 2.0996) X_1252 = ISOGONAL CONJUGATE OF X(1086) (0.4699, 0.3541) X_1258 = ISOGONAL CONJUGATE OF X(1107) (0.5907, 0.2599) X_1497 = POINT BETELGEUSE II (0.5934, 0.2621) X_1983 = VEGA TRANSFORM OF X(523) (0.9661, 0.8719) A B C X215 X110 X3 X6 X101 X109 X919 X1027 X1023 X1252 X1258 X1497 X1983 (a, b, c) = (5, 6, 7) | AB = 1

X1983 (VEGA TRANSFORM OF X523) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \([\sin(C - A) - \sin(A - B)]/\sin(B - C) : :\)
Search Value (6, 9, 13): \(-0.535345325090\)
▸ Incident Central Lines5 lines

{3, 6}, {101, 109}, {919, 1027}, {1023, 1252}, {1258, 1497}

▸ Functional Relations6 relations