Curve Tracing in Cartesian Coordinates (Classic Reprint)

Excerpt from Curve Tracing in Cartesian Coordinates
The third side of the Analytical Triangle bears the same relation to the geometrical conception of the line at infinity that the other sides bear to the coordinate axes. I have aimed to bring out this connection in such a way that the student who desires to take up the general theory of curves may gain a clear View of this conception, and be prepared to pass readily from the Cartesian system of coordinates, ln which one of the fundamental lines is the line at infinity, to the generalized system, in which all three fundamental lines are taken at pleasure.
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