"Proposition I One of the relative properties between straight lines and a perfect curve or circle is such, that all regular shapes formed of straight lines and equal sides, have their areas equal to half the circumference multiplied by the least radius which the shape contains (which is always the radius of an inscribed circle) than which every other radius contained in the shape is greater, and the circle has its area equal to half the circumference multiplied by the radius, to which every other radius contained in the circle is equal." Originally from Keely, these propositions were included in a paper read by John A. Parker before the New York Mathematical Society. Relative to the Quadrature of the Circle.