Re: Four circles and quadrilateral

On 30 Mar, 19:12, precarion <precar...@xxxxxxxx> wrote:
Hello!

I have a problem with solving the following problem from the elementary geometry: "Consider an arbitrary convex quadrilateral. For every side construct a circle which has the side as its diameter. Prove that these four circles together cover the quadrilateral."

Does anyone have an idea how to prove the fact listed above?

Chris

It is easy to observe that arbitrary triangle ABC can be
covered by two circles which diameters are sides AC and BC
of this triangle.

Your problem follows from this fact immediately.

Regards,
Z. Karno

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