Excerpt from The Principles of Projective Geometry: Applied to the Straight Line and Conic

The hopelessness of tracing the various theorems to their original discoverers has led the author to abstain from a task which is beyond his power to perform satisfactorily, and as a consequence names have only been associated with theorems when they are in ordinary use for their identification. In most cases the enunciations of. Theorems have been given before the proofs and an effort has been made to present the proofs in a form suitable for reproduction. In the case of most of the important theorems alternative proofs have been given The properties of the involution have been largely used as they render it possible to overcome some of the difficulties which otherwise arise through points and lines being real in certain cases and in certain cases imaginary. The last chapter is to some extent an introduction to the future consideration of the imaginary in connexion with the conic. This subject has been postponed for a subsequent volume in which the author hopes to deal with it from a geometrical point of View.

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