X1190

2nd SARAGOSSA POINT OF X55

< 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, 57 }: Central Line L(6, 57) { 41, 55 }: Central Line L(41, 55) { 165, 218 }: Central Line L(165, 218) { 294, 940 }: Central Line L(294, 940) { 56, 1202 }: Central Line L(56, 1202) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_218 = -CEVA CONJUGATE OF X(55) (0.6557, 0.3333) X_294 = ISOGONAL CONJUGATE OF X(241) (0.9276, -0.0575) X_940 = POINT ALDEBARAN (0.5757, 0.2411) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_1202 = 3rd SARAGOSSA POINT OF X(57) (0.6056, 0.2754) X_1190 = 2nd SARAGOSSA POINT OF X(55) (0.5884, 0.2303) A B C X6 X57 X41 X55 X165 X218 X294 X940 X56 X1202 X1190 (a, b, c) = (5, 6, 7) | AB = 1

X1190 (2nd SARAGOSSA POINT OF X55) 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): \(1.722120767337\)
▸ Incident Central Lines5 lines

{6, 57}, {41, 55}, {56, 1202}, {165, 218}, {294, 940}