Differential Geometry presentation
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The document describes various geometric properties related to curves, including osculating planes and circles, and their associated tangent, normal, and binormal lines. Different geometric elements like curves and circles are assigned colors and animation for visualization purposes across 5 examples on different pages.
Differential Geometry presentation
- 1. Osculating plane-animated Tangent line-red Principal Normal line-black Binormal line -green 2/22/2013 1
- 3. Osculating circle-animated Tangent line-red Normal line-black 2/22/2013 3
- 4. Osculating circle-gray-animated 2/22/2013 Locus of center of osculating circle-red 4
- 5. Space curve lying on the surface of sphere -colourful Osculating circle of colourful curve–animated-black Osculating sphere of colourful curv is the sphere itself 2/22/2013 5