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Pythagoras by rearrangement

Four triangles in one square, slid into new places: the empty space shows a² + b² = c².

Example of Math Director16:9 · 71 s

From OpenStax Prealgebra 2e, 9.3 and cut-the-knot proofs #4 and #9.

AvailableMath explainers

Math Director

A result derived on screen, one step you can follow at a time.

Install it in your coding agent from its skill page: the install prompt, what it needs and the price are there.

Install or buy

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A walk to the river: a worked problem

Where should you fetch water so the walk is shortest? Try a few places, then reflect B in the river and go straight: 10 km.

Example of Math Director16:9 · 99 s

A problem written for the film; every length computed and checked two ways.

Why 1 + 2 + … + n = n(n + 1)/2

The sum written forwards and backwards: every column adds to n + 1, checked with dots, then 5,050.

Example of Math Director16:9 · 71 s

From OpenStax Algebra and Trigonometry 2e, 13.4.

Built-in styles

Chalk Math

Equations and graphs that transform step by step.

Worked Problem

Try first, then the trick, every length computed, ending on the check.

Whiteboard

Drawn by hand as it is explained.

Example film by the Lesson Director

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