some animated file for students of Differential Geometry- Unit1 -Curves in space

1. Osculating plane-animated
Tangent line-red
Principal Normal line-black
Binormal line -green
2/22/2013 1

2. Osculating circle-animated-red
2/22/2013 2

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