X1180

2nd SARAGOSSA POINT OF X2

X1180 = crossdifference of every pair of points on line X669X826
< 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) { 6, 22 }: Central Line L(6, 22) { 2, 39 }: Central Line L(2, 39) { 111, 907 }: Central Line L(111, 907) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1239 = ISOTOMIC CONJUGATE OF X(1180) (0.4817, 0.1646) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_22 = EXETER POINT (0.4143, -0.1221) X_2 = CENTROID (0.5374, 0.2000) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_111 = PARRY POINT (0.9885, -0.0457) X_907 = POINT ACRUX (0.1933, 0.5099) X_1180 = 2nd SARAGOSSA POINT OF X(2) (0.5852, 0.2361) A B C X1239 X6 X22 X2 X39 X111 X907 X1180 (a, b, c) = (5, 6, 7) | AB = 1

X1180 (2nd SARAGOSSA POINT OF X2) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a(b^{4} + c^{4} + b^{2}c^{2} + c^{2}a^{2} + a^{2}b^{2}) : :\) (M. Iliev, May 13, 2007)
Search Value (6, 9, 13): \(1.427576471618\)
▸ Incident Central Lines3 lines

{2, 39}, {6, 22}, {111, 907}

▸ Functional Relations3 relations