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math.DG2019
On evolutoids of regular surfaces in Euclidean 3-space
Ady Cambraia Junior, Abilio Lemos, Mostafa Salarinoghabi
Inspired by the concept of evolutoids of planar curves, we present the concept of evolutoids for regular surfaces as an envelope of a two-parameter family of lines in Euclidean 3-s…
math.DG2017
Evolving Affine Evolutoids
Ady Cambraia Junior, Abílio Lemos
The envelope of straight lines affine normal to a plane curve C is its affine evolute; the envelope of the affine lines tangent to C is the original curve, together with the entire…