Let the points [i]A[/i] and [i]B[/i] be given. Construct a circle with diameter [i]AB[/i].

The points of the intersection of the segment [i]AB[/i] and the perpendicular bisector of the points [i]A, B[/i] will be the centre point of the circle sought. (Just like in Euclidean geometry.) [br][br]Can we call this circle the diameter’s circle (according to Thales’ theorem in Euclidean geometry) with respect to segment [i]AB[/i]? [url=https://www.geogebra.org/m/ck6ecca5#material/ptvaaxgm]We can answer this later. [/url]