Orthogonal Circles

Michael T. Bendorf - 2 Oct. 2006

GeoGebra Drawing Pad

No. Name Definition Algebra
1 Point A   A = (5.93, -0.8)
2 Point B   B = (6.7, -3.3)
3 Point C   C = (3.2, -2.83)
4 Point D   D = (-4.27, -3.93)
5 Circle c Circle with center C through D c: (x - 3.2)² + (y + 2.83)² = 56.96
6 Line a Line through C, A a: -2.03x + 2.73y = -14.25
7 Line b Line through A perpendicular to a b: -2.73x - 2.03y = -14.59
8 Point E intersection point of c, b E = (1.91, 4.6)
9 Line d Line through E, C d: 7.44x + 1.29y = 20.15
10 Line e Line through E perpendicular to d e: -1.29x + 7.44y = 31.77
11 Point F intersection point of a, e F = (16.62, 7.15)
12 Circle f Circle through B, A, F f: (x - 13.52)² + (y - 0.16)² = 58.43
13 Point G intersection point of c, f G = (6.8, 3.8)
14 Point H center of f H = (13.52, 0.16)
15 Angle α Angle between C, G, H α = 90°

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