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 to …

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

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 Elements is the …

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 created by …

Euclidean geometry is the study of plane and solid figures on the basis of axioms and theorems employed by the ancient Greek mathematician Euclid. The term refers to the plane and solid …

Sep 12, 2025 · Geometry - Transformations, Shapes, Symmetry: Desargues was a member of intersecting circles of 17th-century French mathematicians worthy of Plato’s Academy of the 4th …

Dec 13, 2025 · Mathematics - Ancient Egypt, Numbers, Geometry: The introduction of writing in Egypt in the predynastic period (c. 3000 bce) brought with it the formation of a special class of literate …

Conic section, in geometry, any curve produced by the intersection of a plane and a right circular cone. Depending on the angle of the plane relative to the cone, the intersection is a circle, an ellipse, a …

Oct 24, 2025 · Algebra - Greek Roots, Equations, Geometry: A major milestone of Greek mathematics was the discovery by the Pythagoreans around 430 bc that not all lengths are commensurable, that …

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 French mathematician …