Euclid's Muse

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by Nick Halsey

Rotating Ellipses

Two ellipses rotate within a third such that the two smaller ellipses are always tangent to each other and the larger ellipse. Adjusting the variable X demonstrates this rotation. All three ellipses are constrained only by their implicit equations, and the moving ellipses' equations include functions of X that allow them to rotate. Can you figure out what the equations are (the other constants in the equations are a, b, h, and k)?
by Phil Todd

A Path round an elliptical pool

A path of constant width is build round an elliptical pool. Is the outer edge of the path also an ellipse. Drag the red points to try and fit an ellipse. If you can't decide, try making the width of the pool a lot smaller than the length.

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Welcome to Saltire Software’s app repository: Euclid’s Muse. This site features hundreds of free math apps created by our users. Upload, share and discuss your favorite apps created with Geometry Expressions. Join today and add to the collection.

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Mechanical Expressions Beta Extended through March

Greetings everyone! We have some exciting news about our new product: Mechanical Expressions. If you haven’t heard, Mechanical Expressions lets you create models of mechanical phenomena using the same interface as Geometry Expressions. We have just extended the beta through the end of March 2014, so if you have yet to try it out, now […]

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 […]

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