Abstract
If ϕ(t) and ψ(t) are continuous functions of t, defined in an interval α ⩽ t ⩽ β, the equations
determine a path in the (x,y)-plane. We may think of t as the time and interpret (1) as the motion of a point whose coordinates at time t are (ϕ(t), ψ(t)). For brevity, we often refer to this point as the point t of the path. The initial point and the end point of the path are A = (ϕ(α), ψ(α)) and B = (ϕ(β), ψ(β)) respectively. For a closed path, or loop, we have that
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© 1966 Walter Ledermann
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Ledermann, W. (1966). Line Integrals. In: Multiple Integrals. Library of Mathematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-6091-9_1
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DOI: https://doi.org/10.1007/978-94-011-6091-9_1
Publisher Name: Springer, Dordrecht
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