Illustration of half of an ellipse. "The ordinates of two corresponding points in an ellipse and its…

Illustration of half of an ellipse and its auxiliary circle used to construct an ellipse by points,…

Illustration of half of an ellipse. The square of the ordinate of a point in an ellipse is to the product…

Illustration of a hyperbola and its auxiliary circle. "Any ordinate of a hyperbola is to the tangent…