Abstract
Let F be an algebraic surface in the projective 3-space and G 0 a surface touching F along the curve C 0= F∩ G 0. We develop a special algorithm to find all algebraic surfaces touching F along any algebraic curve C linked to C 0. Then, after observing that on an algebraic non-singular cone F of degree ≤4 any curve C is linked to a group of generators, we determine all algebraic surfaces circumscribed about a cone of degree 3 or 4.
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