Propositions containing some properties of Tangents to Circles ; and of Trapeziums inscribed in circles, and non-inscribed. Together with propositions on the Elliptic representations of Circles , upon a plane surface, by Perspective

That the perspective representation of an entire circle is an ellipse, is simply a part of the doctrine of conic sections, and is not in need of demonstration. The principal inquiry of the author has been with regard to the positions of the axes of such ellipses. Selecting the case of any number of circles in the same plane, and having their centres in the same line, he examines what law is to be observed in the directions of the axes of the representing ellipses.