In addition to describing some of the achievements of the ancient Greeks, notably Euclid’s logical development of geometry in the Elements, this article examines some applications of …

Geometry - Ancient, Abstract, Applied: In addition to proving mathematical theorems, ancient mathematicians constructed various geometrical objects. Euclid arbitrarily restricted the tools …

Oct 30, 2025 · Euclid, the most prominent mathematician of Greco-Roman antiquity, best known for his geometry book, the Elements. It is sometimes said that, other than the Bible, the …

(See geometry: Non-Euclidean geometries.) These attempts culminated when the Russian Nikolay Lobachevsky (1829) and the Hungarian János Bolyai (1831) independently published …

Nov 11, 2025 · The Greeks divided the field of mathematics into arithmetic (the study of “multitude,” or discrete quantity) and geometry (that of “magnitude,” or continuous quantity) …

The early 19th-century revival of pure geometry produced the discovery that Euclid had devoted his efforts to only one of several comprehensive geometries, the others of which can be …

While curves had been studied since antiquity, the discovery of calculus in the 17th century opened up the study of more complicated plane curves—such as those produced by the …

In its rough outline, Euclidean geometry is the plane and solid geometry commonly taught in secondary schools. Indeed, until the second half of the 19th century, when non-Euclidean …

Analytic geometry, mathematical subject in which algebraic symbolism and methods are used to represent and solve problems in geometry. The importance of analytic geometry is that it …

Projective geometry has its origins in the early Italian Renaissance, particularly in the architectural drawings of Filippo Brunelleschi (1377–1446) and Leon Battista Alberti (1404–72), who …