X1023

INTERSECTION OF LINES X1X_6 AND X100X_101

X1023 = crossdifference of every pair of points on line X244X513
< 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) { 1, 6 }: Incenter–Symmedian Line { 100, 101 }: Central Line L(100, 101) { 813, 898 }: Central Line L(813, 898) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1022 = INTERSECTION OF LINES X(1)X(513) AND X(2)X(514) (1.0000, -0.0000) X_1 = INCENTER (0.5714, 0.2333) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_813 = o-(- 1, 1) CIRCUMCIRCLE POINT (0.9721, -0.0916) X_898 = ISOGONAL CONJUGATE OF X(891) (0.9234, -0.1828) X_1023 = INTERSECTION OF LINES X(1)X(6) AND X(100)X(101) (2.1429, 2.0996) A B C X1022 X1 X6 X100 X101 X813 X898 X1023 (a, b, c) = (5, 6, 7) | AB = 1

X1023 (INTERSECTION OF LINES X1X_6 AND X100X_101) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((2a - b - c)/(b - c) : :\)
Search Value (6, 9, 13): \(-3.484927782471\)
▸ Incident Central Lines3 lines

{1, 6}, {100, 101}, {813, 898}

▸ Functional Relations5 relations