Rodrigues Formulas

Rodrigues Formulas

 

expressions for the derivatives of the unit vector m normal to a surface when the net of parametric curves on the surface consists of lines of curvature. If r is the radius vector for the point m on the surface and r1 and R2 are the principal radii of curvature at M, then the Rodrigues formulas can be written as

where u and ν are parameters along the lines of curvature. These formulas were derived by Rodrigues in 1815.

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