X1205

3rd SARAGOSSA POINT OF X67

X1205 = crosspoint of X67 and X1177
< 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) { 74, 511 }: Central Line L(74, 511) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_67 = ISOGONAL CONJUGATE OF X(23) (0.7606, -0.2152) X_1177 = 1st SARAGOSSA POINT OF X(67) (0.7694, -1.0073) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_1205 = 3rd SARAGOSSA POINT OF X(67) (0.7329, -0.3693) A B C X67 X1177 X74 X511 X1205 (a, b, c) = (5, 6, 7) | AB = 1

X1205 (3rd SARAGOSSA POINT OF X67) 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): \(8.604483645373\)
▸ Incident Central Lines1 line

{74, 511}

▸ Functional Relations2 relations