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Note on two intrinsically related plane curves

Published online by Cambridge University Press:  20 January 2009

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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.

Type
Research Article
Copyright
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).