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The triangle and its escribed parabolas

Published online by Cambridge University Press:  20 January 2009

A. J. Pressland
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The problem “to inflect a straight line between two sides of a triangle so that the intercepted portion is equal to the segments cut off” has been discussed in the third volume of the Proceedings.

If we discuss the same analytically; taking CB and CA as axes of x and y (Fig. 1) and calling each segment k, the equation of the line considered is

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 9 , February 1890 , pp. 4 - 10
Copyright
Copyright © Edinburgh Mathematical Society 1890