Two intersecting circles, two line segments and five points, two of which are centres. Prove that the red points are concyclic.

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## Solution

## Poem

The hidden circle

Serves as a good shelter

For unknown secrets

Each of us hides some

We also play a role

To protect ourselves

And try how to live together

In a hidden circle

Are our real treasures

That we cherish

Or sometimes hate

The hidden circle is not a fake

## One reply on “The hidden circle”

Make a irregular 5 sided polygon connecting the 5 dots (externally)

Find the 5 madiatrixes of the five sides of the polygon

All 5 mediatrixes will connect in the center of the circle that unites the points