Christiani Hugenii ...Theoremata De Quadratura Hyperboles, Ellipsis Et Circuli, Ex Dato Portionum Gravitatis Centro

figure as I was when I had observed the same thing in the portions of the hyperbola and had found that of which such a great man could not have helped but think himself. Otherwise, this figure has always had rare contemplators, if compared with the circle. We have proof or indication of this fact, for although there are various examined methods by which it is necessary that the quadrature of the circle also be given—such as the exact length of the perimeter, the tangent of the Archimedean spiral, the terminus of the Quadratrix of Dinostratus, or even the tangent of the same Quadratrix at the other terminus (as I remember having demonstrated at one time), and several other things which are owed to more recent thinkers—nevertheless, there exists nothing defined by anyone whereby the hyperbola might be compared with a space enclosed by straight lines under any condition. Indeed, in our own age, a few years ago, the most distinguished man, D. Gregorius à S. Vincentio, of whom I must speak further,