One Point On The Circle, Second Inside The Circle

Number of solutions: 1

SOLUTION METHOD

Circle inversion

GeoGebra construction

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Steps

1. draw a circle d with centre at C and radius CB
2. construct the image of the circle c through the circular inversion over the circle d
3. draw a line f which is tangent to c' and passes through B
4. represent the line f in circular inversion through the circle d, resulting in a circle f which is the solution to the problem

SOLUTION METHOD

Loci of points satisfying certain properties

GeoGebra construction

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Steps

1. draw a line p₁ passing through points B and C
2. draw the axis p₂ of line BC
3. draw the line p₃ passing through points A and B
4. at the intersection of the lines p₂ and p₃ there is a point S_1, which is the centre of the circle k₁
5. draw the circle k₁ with radius S_1B, which is the solution of the problem