Euclid's Muse

your source for INTERACTIVE math apps
by Phil Todd

A lemma of Archimedes

BF is perpendicular to diameter CD.  E is the intersection point of tangents at B and D.  Observe that BG = FG. Can you prove it? This is from the Liber Assumptorum (Book of Lemmas) translated from Arabic but attributed to Archimedes.
by Phil Todd

September Problem

The radii of the small circles add up to that of the large circle. Why?

News

Updates to Euclid’s Muse

We are excited to announce some of the recent updates to Euclid’s Muse. The front page has been reorganized so it’s easier to find what you’re looking for (and it’s much nicer to look at). Join us on the new forums page and help build our community by posting your questions, comments and app creation […]

Announcing Mechanical Expressions!

We’ve just released a new program, Mechanical Expressions. It builds off of Geometry Expressions’ base, adding mechanics inputs and outputs. Its html5/Javascript app exports support dynamic simulations, so keep your eyes open for some popping up here on Euclid’s Muse. For more information about Mechanical Expressions, check out the website: http://mechanicalexpressions.com/.

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