[i]Given[/i] a closed loop of rigid wire in the shape of an ellipse, mark a point on the wire with a red dot.
[b]Proposition:[/b] to rotate the wire about its center.
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Ellipse Rotation
1. Ellipse: Relationships between the standard form and parametric equations:[url]http://www.geogebratube.org/material/show/id/45277[/url]
[b]→2. Resolving rotation in the full range, 0 ≤ θ ≤ 2π[/b]
3. Relating coefficients A, B, C and rotation. Construction of the tangent ratio. Limit cases of tan(θ). Lengths and orientation of the half-axes a, b. [url]http://www.geogebratube.org/material/show/id/45924[/url]
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In response to a question on Stack Exchange:
[url]http://math.stackexchange.com/questions/264446/the-fastest-way-to-obtain-orientation-from-this-ellipse-formula[/url]
