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Geometry Expressions Example: Archimedes' Trammel
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| Organization: | Saltire Software |
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In this example we use Geometry Expressions to create an Archimedes' Trammel mechanism, which generates an ellipse. We use a point A as the ellipse's center, and put a point E on the same horizontal line as A. The points C and E are constrained to run along the ellipse's axes (the green lines), while the distance between them is set to a-b. When we trace the locus of the point D at distance b from E along the same line, we get an ellipse with semimajor axis a and semiminor axis b.
Note: The downloadable file requires Geometry Expressions. You can buy the Mathematica application package from Wolfram Research or request a trial version from the developer.
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http://www.wolfram.com/products/applications/geometryexpressions/examples.html
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| Archimedes_Trammel.gx (2.3 KB) - Unknown MIME type [for Mathematica Other] |
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