# Arbelos' Morsels

### What is this about?

### A Pleasant Fact

Assume $B'C=BC\;$ and that all the curves that appear in the diagrams below are semicircles.

Then in each diagram the areas of different colors are equal.

### Proof

The proof is left as an exercise.

### Acknowledgment

I am grateful to Teo López Puccio from Argentina for sharing his observation of this configuration related to the famous arbelos.

- Arbelos - the Shoemaker's Knife
- 7 = 2 + 5 Sangaku
- Another Pair of Twins in Arbelos
- Archimedes' Quadruplets
- Archimedes' Twin Circles and a Brother
- Book of Lemmas: Proposition 5
- Book of Lemmas: Proposition 6
- Chain of Inscribed Circles
- Concurrency in Arbelos
- Concyclic Points in Arbelos
- Ellipse in Arbelos
- Gothic Arc
- Pappus Sangaku
- Rectangle in Arbelos
- Squares in Arbelos
- The Area of Arbelos
- Twin Segments in Arbelos
- Two Arbelos, Two Chains
- A Newly Born Pair of Siblings to Archimedes' Twins
- Concurrence in Arbelos
- Arbelos' Morsels

|Contact| |Front page| |Contents| |Geometry|

Copyright © 1996-2018 Alexander Bogomolny68655959