Gives information on background and contributions to non-euclidean geometry, spherical trigonometry, number theory and the field of statics. Was an important translator of Greek materials, including Euclid's Elements, during the Middle Ages.
Most important work considered the basic properties of fluid flow, pressure, density and velocity, and gave their fundamental relationship now known as Bernoulli's principle.
Catalogued stars, predicted a planet beyond Uranus as well as the existence of dark stars, investigated Johann Kepler's problem of heliocentricity, and systematized the mathematical functions involved, which now bear his name.
(Catholic Encyclopedia) Theory of polyhedra, symmetrical functions, proof of a theorem of Fermat which had baffled mathematicians like Gauss and Euler.