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be a sufficient excuse for the employment of a notation which has hitherto been hardly admitted into Cambridge text-books. I have, however, confined myself rigorously to the demonstration of such elementary properties as are required in the course of this work. I should be glad if the very slight sketch contained in Chapter III. should be the means of inducing any of my readers to refer to the original memoirs on this and kindred subjects.
DEFINITION of Trilinear Co-ordinates
Identical relation between the Trilinear Co-ordinates of a Point ib.
The Anharmonic Ratio of a Pencil is equal to that of the range
Corresponding Points and Lines. The angle between the radius
vector and tangent in any curve is equal to the correspond-
ing angle in the Reciprocal Curve