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On a Certain Locus

Published online by Cambridge University Press:  15 September 2014

P. H. Schoute
P. H. Schoute
Affiliation:
University of Groningen, Holland
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Extract

If the two ends of a strip of paper are pasted on one another after having twisted one of them through 180°, we obtain a surface with only one side. On the last meeting of the British Association Professor A. Crum Brown showed a model of a mathematical surface closely connected with it. This surface, with the common name of “marrowbone,” is the locus of the line AB (fig. 1), cutting a given circle C orthogonally and moving under the condition ∠ AOD = 2 ∠ BAE.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 19 , July 1893 , pp. 208 - 211
Copyright
Copyright © Royal Society of Edinburgh 1893

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References

* If we proceed analytically, the equation of the surface is obtained by eliminating p and φamong the three equations

note * page 210 Two generators with coincident projections on the plane a are represented by the equations