Abstract
An engineering problem concerned with relating the coordinates of the centre of a spherical cutting tool to the actual cutting surface leads to a potentially rich example of problem-solving techniques. Basic calculus, Lagrange multipliers and vector calculus techniques are employed to produce solutions that may be compared to better understand each approach. As an added bonus, the formula for radius of curvature arises very naturally as does a generalization of the cycloid.
| Original language | English |
|---|---|
| Number of pages | 6 |
| Journal | International Journal of Mathematical Education in Science and Technology |
| Publication status | Published - 2002 |
Keywords
- geometry
- sphere