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Intermediate

Sisyphus

A semicircle containing two circles and two triangles. The blue right triangle connects three tangency points. Prove it is isosceles.

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Solution

Solution by Jane Miller.

Poem

The myth of Sisyphus
This legendary sisyphus
Obliged to roll his stone
With courage and dignity
On the mountain top
A mythical ascent
Rolling his stone painfully
Such was his destiny
Never a victory
Like a night of Gethsemani
For all it’s life
A never ending tragedy

Bella

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One reply on “Sisyphus”

I think you need to specify somehow that the smallest circle is at the midpoint of the side of the larger triangle to which it is tangent.

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