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Note on two intrinsically related plane curves
Published online by Cambridge University Press: 20 January 2009
Extract
The tangent at a point P to a given plane curve intersects another given curve in Q and makes with the tangent at Q to the latter curve a variable angle ψ. It is required to connect the curvatures at P and Q with the length PQ and the angle ψ.
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- Research Article
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- Copyright © Edinburgh Mathematical Society 1902
References
page 85 note * Williamson's Diff. Calc, Chapter XVII., p. 296, No. 27.
page 85 note † Bertrand, Diff. Calc, quoted by Williamson as above.
page 85 note ‡ Tait and Steele, Chapter I., Art. 30 and Ex. 20.
page 86 note * Tripos, 1881.
page 87 note * Tripos, 1873 (?) (Dr Pirie).