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  1. Geometry | Definition, History, Basics, Branches, & Facts | Britannica

    Feb 3, 2026 · Geometry, the branch of mathematics concerned with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.

  2. geometry - Kids | Britannica Kids | Homework Help

    Introduction Geometry is a kind of mathematics that deals with shapes and figures. Geometry explains how to build or draw shapes, measure them, and compare them. People use geometry in many kinds …

  3. Circle | Circle Geometry, Radius & Diameter | Britannica

    Nov 14, 2025 · tangent, in geometry, the tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point. It may be considered the limiting position of …

  4. Non-Euclidean geometry | Definition & Types | Britannica

    Non-Euclidean geometry, literally any geometry that is not the same as Euclidean geometry. Although the term is frequently used to refer only to hyperbolic geometry, common usage includes those few …

  5. Differential geometry | Curves, Surfaces & Manifolds | Britannica

    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 …

  6. Pythagorean theorem | Definition & History | Britannica

    Feb 13, 2026 · geometry, the branch of mathematics concerned with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.

  7. Definition, Formulas, Ratios, & Identities - Britannica

    Jan 19, 2026 · Several ancient civilizations—in particular, the Egyptian, Babylonian, Hindu, and Chinese—possessed a considerable knowledge of practical geometry, including some concepts that …

  8. Mathematics - Ancient Egypt, Numbers, Geometry | Britannica

    2 days ago · Proclus, in his Commentary on Euclid, observes that geometry—literally, “measurement of land”—first arose in surveying practices among the ancient Egyptians, for the flooding of the Nile …

  9. Analytic geometry | Lines, Curves & Equations | Britannica

    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 establishes …

  10. Topology | Types, Properties & Examples | Britannica

    Jan 16, 2026 · Topology, while similar to geometry, differs from geometry in that geometrically equivalent objects often share numerically measured quantities, such as lengths or angles, while …