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

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D drop cap On Conic Sections and the Circle, we offer something new, friendly reader, if indeed that can be called new, which has been defined and established by eternal law, as it now is, and has always been. Thus, one might call gold recently unearthed "new." Thus, one might call stars in the heavens "new" if they were unknown to previous centuries and are now discovered through the skill of our age. Indeed, no geometric theorem yields to antiquity, but we grant novelty to individual things as they offer themselves to us and become manifest. And so, the inscribed triangle of a parabola must be said to have been sesquitertia having the ratio of one and one-third even before Archimedes; it is no less subject to the immutable truth of the remaining sections and portions of the circle.