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The Geometric Interpretation of Homographic Equations and their Application to loci and Envelopes*

Published online by Cambridge University Press:  03 November 2016

John J. Milne
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Extract

If two lines are divided in such a way that any point on one corresponds to one and only one point on the other, the lines are said to be divided homographically, and any relation between the segments which gives the variable point on one corresponding uniquely to a variable point on the other is a homographic equation.

These equations are of two types:

(α), which contains the term xx', may be said to be of the second order, and (β), in which the term xx' is wanting, may be said to be of the first order.

Type
Research Article
Information
The Mathematical Gazette , Volume 9 , Issue 130 , July 1917 , pp. 97 - 104
Copyright
Copyright © Mathematical Association 1917

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Footnotes

*

A treatise on the Cross-Ratio Geometry applied to the Point Line and Conic, by the present writer, is published by the Pitt Press.

References

* A treatise on the Cross-Ratio Geometry applied to the Point Line and Conic, by the present writer, is published by the Pitt Press.