The Arcus arcade

A semicircle and an inscribed circle. Prove that the circle centre is on the parabola.

Scroll down for a solution to this problem.


Solution by Ferdi Yılmaztürk.


The Arcus arcade
Could be like a rainbow
A message from heaven
As a symbol
For a bridge to connect
The clouds,
The tears from rain
An arcade of hope
An opening, a way
Arches of beauty and confidence
It can be so easy
When everything is worse
Look up to the rainbow first


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