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Curvature

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Curvature. Unit Tangent. Curvature Vector. Curvature Formula. Example. Theorem. Proof of Orthogonality. Radius of Curvature and Principal Normal. Osculating Plane. Circle of Curvature. Example. Tangential and Normal Acceleration. Decomposition of Acceleration.

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Curvature

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Presentation Transcript

  1. Curvature

  2. Unit Tangent

  3. Curvature Vector

  4. Curvature Formula

  5. Example

  6. Theorem

  7. Proof of Orthogonality

  8. Radius of Curvature and Principal Normal

  9. Osculating Plane

  10. Circle of Curvature

  11. Example

  12. Tangential and Normal Acceleration

  13. Decomposition of Acceleration

  14. Decomposition of Acceleration

  15. Example

  16. Curvature Formula

  17. Example

  18. Curvature of a Plane Curve

  19. Example

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