perplexus.info :: Geometry : A circle through seven points

A circle through seven points (Posted on 2004-08-19)

Find a circle that passes exactly through seven points of the plane (no more, no less) with integer coordinates.

Submitted by Federico Kereki

Rating: 2.5000 (4 votes)

Solution: (Hide)

A circle with center at (31.25,0) and radius 31.25 passes through points (0,0), (2,11), (2,-11), (40,30), (40,-30), (50,25), and (50,-25).
No matter how many lattice points, Schinzel's theorem guarantees that this problem can be solved.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Thoughts	K Sengupta	2022-07-10 00:26:21
Solution	David Shin	2004-08-19 14:12:44

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