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In this communication, the author first demonstrates the well-known property of the circle, that if from a point in the diameter produced there be drawn a tangent to the circle, and from the point of contact there be drawn a line perpendicular to the diameter; and if from any point in the circumference there be drawn two lines, one to the point without the circle, and another to the foot of this perpendicular, the former of these lines will be to the latter, as the distance of the point without the circle from the centre, is to the radius of the circle.

abstracts of the papers printed in the philosophical transactions of the royal society of london

A method of proving the three leading properties of the ellipse and the hyperbola from a well-known property of the circle. By Sir Frederick Pollock, Knt., F. R. S., Her Majesty's Attorney General. Communicated in a letter to P. M. Roget, M. D., Secretary to the Royal Society