X1171

1st SARAGOSSA POINT OF X42

X1171 = cevapoint of X6 and X58
< 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) { 35, 58 }: Central Line L(35, 58) { 37, 81 }: Central Line L(37, 81) { 6, 593 }: Central Line L(6, 593) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1213 = ISOGONAL CONJUGATE OF X(1171) (0.5294, 0.1914) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_593 = 1st HATZIPOLAKIS-YIU POINT (0.6202, 0.3026) X_1171 = 1st SARAGOSSA POINT OF X(42) (0.6052, 0.2763) A B C X1213 X35 X58 X37 X81 X6 X593 X1171 (a, b, c) = (5, 6, 7) | AB = 1

X1171 (1st SARAGOSSA POINT OF X42) 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 X1166)
Search Value (6, 9, 13): \(0.866473396198\)
▸ Alternate Coordinates1 form

  • Trilinears: \(a/((b + c) (2 a + b + c)) : :\)

▸ Incident Central Lines3 lines

{6, 593}, {35, 58}, {37, 81}

▸ Functional Relations5 relations