The paper solves the existence, representation, number of envelopes, and definitional relationship problems for envelopes created by sphere families in Euclidean 3-space.
Izumiya, Singular solutions of first order differential equations, Bull
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Envelopes created by sphere families in Euclidean 3-space
The paper solves the existence, representation, number of envelopes, and definitional relationship problems for envelopes created by sphere families in Euclidean 3-space.