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

    For information on specific branches of geometry, see Euclidean geometry, analytic geometry, projective geometry, differential geometry, non-Euclidean geometries, and topology.

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

    Some of the fundamental ideas of differential geometry can be illustrated by the strake, a spiraling strip often designed by engineers to give structural support to large metal cylinders …

  3. Algebraic geometry | Curves, Surfaces & Varieties | Britannica

    Algebraic geometry, study of the geometric properties of solutions to polynomial equations, including solutions in dimensions beyond three. (Solutions in two and three dimensions are …

  4. Geometry Definition & Meaning | Britannica Dictionary

    GEOMETRY meaning: a branch of mathematics that deals with points, lines, angles, surfaces, and solids

  5. Mathematics and its branches | Britannica

    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 …

  6. Square | Area, Shape & Geometry | Britannica

    For information on specific branches of geometry, see Euclidean geometry, analytic geometry, projective geometry, differential geometry, non-Euclidean geometries, and topology.

  7. Trigonometry | Definition, Formulas, Ratios, & Identities | Britannica

    Dec 12, 2025 · Trigonometry, the branch of mathematics concerned with specific functions of angles. There are six functions commonly used in trigonometry: sine (sin), cosine (cos), …

  8. Euclidean geometry | Definition, Axioms, & Postulates | Britannica

    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 …

  9. Cartesian coordinates | Definition & Facts | Britannica

    Dec 11, 2025 · For information on specific branches of geometry, see Euclidean geometry, analytic geometry, projective geometry, differential geometry, non-Euclidean geometries, and …

  10. geometry - Students | Britannica Kids | Homework Help

    The ancient branch of mathematics known as geometry deals with points, lines, surfaces, and solids—and their relationships. In particular, geometry may be thought of as…