May 29, 2025

Proofs Without Words

Some math proofs are so clear they don’t need any explanation. Let’s look at an interesting example.

Trisection of an Angle in an Infinite Number of Steps *

This example demonstrates how to split an angle into three equal sections.

Fun With Math
\[ \frac{1}{3}=\frac{1}{2}-\frac{1}{4}+\frac{1}{8}-\frac{1}{16}+\cdots \]

* Reference: R. B. Nelsen, Proofs Without Words, Exercises in Visual Thinking, 1993.

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