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- W2045579513 abstract "Obscurity in the direct discussion of The Envelope, as given in works on Differential Equations, has led writers on The Calculus to define the envelope of a family by a property which all know that it shares with any locus of multiple-points belonging to the family. The following presentation is an attempt by use of systematic notation to make clear the details of the direct process:— Starting from the definition that A curve is an envelope of a given family, if at each of its points it touches a member of the family : let us suppose that a family is specified by the equation in which ψ is a continuous function of the three variables x, y, u ; continuous variation of u corresponds to continuous motion and deformation of a variable curve in the xy -plane, which takes in succession the curves of the family as positions." @default.
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- W2045579513 date "1906-02-01" @default.
- W2045579513 modified "2023-09-26" @default.
- W2045579513 title "Note on The Envelope-Investigation" @default.
- W2045579513 doi "https://doi.org/10.1017/s0013091500033551" @default.
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