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On the Eliminant of the Equations of the Ellipse-Glissette

Published online by Cambridge University Press:  15 September 2014

Hon. Lord M‘Laren
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Extract

The problem consists in the elimination of θ from two equations which (after expressing cos2θ in terms of sin2θ) may be written

As only two of the equations can be used, the elimination will be effected by means of (2) and (3), using the relation cos2θ + sin2θ = 1, where necessary, to suppress the term of cos2.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 19 , July 1893 , pp. 89 - 96
Copyright
Copyright © Royal Society of Edinburgh 1893

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References

* There are two errata in the page referred to (p. 27, below the Table). Line 6 should be (a 2 - b 2+p 2 - q 2)2 + (2pq)2; and the expression in the 10th line is meant to be equited to 4Γ.