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Bolzano, Bernard

(Encyclopedia)Bolzano, Bernard bōltsäˈnō [key], 1781–1848, Czech philosopher, mathematician, and theologian. Though as a Catholic priest he himself was primarily concerned with religious and ethical questions...

Lobachevsky, Nikolai Ivanovich

(Encyclopedia)Lobachevsky, Nikolai Ivanovich nyĭkəlīˈ ēväˈnəvĭch ləbəchĕfˈskē [key], 1793–1856, Russian mathematician. A pioneer in non-Euclidean geometry, he challenged Euclid's fifth postulate tha...

Ibn al-Haytham

(Encyclopedia)Ibn al-Haytham ălhəzĕnˈ [key], 965–c.1040, Arab mathematician. Ibn al-Haytham was born in Basra, but made his career in Cairo, where he supported himself copying scientific manuscripts. Among hi...

axiom

(Encyclopedia)axiom, in mathematics and logic, general statement accepted without proof as the basis for logically deducing other statements (theorems). Examples of axioms used widely in mathematics are those relat...

infinity

(Encyclopedia)infinity, in mathematics, that which is not finite; it is often indicated by the symbol ∞. A sequence of numbers, a1, a2, a3, … , is said to “approach infinity” if the numbers eventually b...

non-Euclidean geometry

(Encyclopedia)non-Euclidean geometry, branch of geometry in which the fifth postulate of Euclidean geometry, which allows one and only one line parallel to a given line through a given external point, is replaced b...

zoning

(Encyclopedia)zoning, legislative regulations by which a municipal government seeks to control the use of buildings and land within the municipality. It has become, in the United States, a widespread method of cont...

Alexandria, city, Egypt

(Encyclopedia)Alexandria, Arabic Al Iskandariyah, city, N Egypt, on the Mediterranean Sea. It is at the western extremity of the Nile River delta, situated on a narrow isthmus between the sea and Lake ...

Carroll, Lewis

(Encyclopedia)Carroll, Lewis, pseud. of Charles Lutwidge Dodgson, 1832–98, English writer, mathematician, and amateur photographer, b. near Daresbury, Cheshire (now in Halton). Educated at Christ Church College, ...