X1168

1st SARAGOSSA POINT OF X36

X1168 = X6-cross conjugate of X88
< 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) { 36, 88 }: Central Line L(36, 88) { 44, 517 }: Central Line L(44, 517) { 80, 519 }: Central Line L(80, 519) { 484, 759 }: Central Line L(484, 759) { 535, 903 }: Central Line L(535, 903) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_214 = -CEVA CONJUGATE OF X(44) (0.3571, 0.3499) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_88 = ISOGONAL CONJUGATE OF X(44) (1.0000, 0.0000) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_80 = REFLECTION OF INCENTER IN FEUERBACH POINT (0.8980, -0.1000) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_484 = 1st EVANS PERSPECTOR (2.0952, 3.0327) X_759 = EVEN (1, 3) CIRCUMCIRCLE POINT (0.9498, -0.1389) X_535 = DIRECTION OF VECTOR AX + BX + CX, where X = X(36) (0.8224, 0.7130) X_903 = -BLAIKIE TRANSFORM OF X(2) (1.0000, 0.0000) X_1168 = 1st SARAGOSSA POINT OF X(36) (1.0000, 0.0000) A B C X214 X36 X88 X44 X517 X80 X519 X484 X759 X535 X903 X1168 (a, b, c) = (5, 6, 7) | AB = 1

X1168 (1st SARAGOSSA POINT OF X36) 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): \(0.229086365232\)
▸ Incident Central Lines5 lines

{36, 88}, {44, 517}, {80, 519}, {484, 759}, {535, 903}

▸ Functional Relations3 relations