Euclid

Janos Bolyai and the Discovery of Non-Euclidian Geometry

Janos Bolyai and the Discovery of Non-Euclidian Geometry

On December 15, 1802, Hungarian mathematician János Bolyai was born. He is most famous for being one of the founders of non-euclidian geometry, a geometry that differs from Euclidean geometry in its definition of parallel lines. Bolyai was born in the Transylvanian town of Kolozsvár (Klausenburg), then part of the Habsburg Empire (now Cluj-Napoca in Romania), the son of Zsuzsanna Benkő and the well-known mathematician Farkas Bolyai. Farkas Bolyai always wanted his…
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Cavalieri’s Principle

Cavalieri’s Principle

On November 30, 1648, Italian mathematician Bonaventura Cavalieri passed away. He is known for his work on the problems of optics and motion, work on the precursors of infinitesimal calculus, and the introduction of logarithms to Italy. Cavalieri’s principle in geometry partially anticipated integral calculus. “Rigor is the concern of philosophy not of geometry.” (Bonaventura Cavalieri) Bonaventura Cavalieri – The Youth of a Mathematician Born at Milan, Cavalieri was given the name Francesco…
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