X1382

2nd INTERCEPT OF LINE X1X_3 AND CIRCUMCIRCLE

X1382 = reflection of X1381 in X3
< 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) { 1381, 3 }: OI Line (Incenter–Circumcenter Line) { 1, 3 }: OI Line (Incenter–Circumcenter Line) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1381 = 1st INTERCEPT OF LINE X(1)X(3) AND CIRCUMCIRCLE (0.7440, 0.5503) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1 = INCENTER (0.5714, 0.2333) X_1382 = 2nd INTERCEPT OF LINE X(1)X(3) AND CIRCUMCIRCLE (0.2560, -0.3461) A B C X1381 X3 X1 X1382 (a, b, c) = (5, 6, 7) | AB = 1

X1382 (2nd INTERCEPT OF LINE X1X_3 AND CIRCUMCIRCLE) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = r - (|OI| + R) \cos A\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(13.685236287810\)

X1382 lies on the circumcircle.

▸ Incident Central Lines1 line

{1, 3}

▸ Functional Relations4 relations