Vera Circuli et Hyperbolae Quadratura

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July 14, 2026

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Vera Circuli et Hyperbolae Quadratura, published in 1667 by Scottish mathematician James Gregory, explored methods for finding the areas of circles and hyperbolas. This work utilized a modified version of Archimedes' method of exhaustion. Gregory was among the first to distinguish between convergent and divergent infinite series, a significant contribution to the development of calculus and analysis in the 17th century.12

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James Gregory
While in Italy he wrote Vera Circuli et Hyperbolae Quadratura (1667; “The True Squaring of the Circle and of the Hyperbola”) and Geometriae Pars Universalis (1668; “The Universal Part of Geometry”). In the former work he used a modification of the method of exhaustion of Archimedes (287–212/211 bce) to find…
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While in Italy he wrote Vera Circuli et Hyperbolae Quadratura (1667; “The True Squaring of the Circle and of the Hyperbola”) and Geometriae Pars Universalis (1668; “The Universal Part of Geometry”). In the former work he used a modification of the method of exhaustion of Archimedes (287–212/211 bce) to find…
Read More