X1191

2nd SARAGOSSA POINT OF X56

X1191 = isogonal conjugate of X1219
< 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 { 31, 56 }: Central Line L(31, 56) { 3, 595 }: Central Line L(3, 595) { 65, 614 }: Central Line L(65, 614) { 28, 957 }: Central Line L(28, 957) { 58, 999 }: Central Line L(58, 999) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1016 = -CROSS CONJUGATE OF X(99) (0.3832, 0.2666) X_1310 = COLLINGS TRANSFORM OF X(940) (0.1699, 0.4912) X_1 = INCENTER (0.5714, 0.2333) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_595 = 2nd HATZIPOLAKIS-YIU POINT (0.6456, 0.3307) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_614 = INTERSECTION OF LINES X(1)X(2) AND X(11)X(33) (0.6310, 0.2916) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_957 = ISOGONAL CONJUGATE OF X(956) (0.6245, 0.3599) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_999 = MIDPOINT OF X(1) AND X(57) (0.5926, 0.2722) X_1191 = 2nd SARAGOSSA POINT OF X(56) (0.6211, 0.2922) A B C X1016 X1310 X1 X6 X31 X56 X3 X595 X65 X614 X28 X957 X58 X999 X1191 (a, b, c) = (5, 6, 7) | AB = 1

X1191 (2nd SARAGOSSA POINT OF X56) 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): \(0.616312487294\)
▸ Incident Central Lines9 lines

{1, 6}, {3, 595}, {28, 957}, {31, 56}, {55, 1193}, {58, 999}, {65, 614}, {105, 959}, {387, 1058}

▸ Functional Relations2 relations