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  2. Power of a point - Wikipedia

    en.wikipedia.org/wiki/Power_of_a_point

    Secant-, chord-theorem. For the intersecting secants theorem and chord theorem the power of a point plays the role of an invariant: . Intersecting secants theorem: For a point outside a circle and the intersection points , of a secant line with the following statement is true: | | | | = (), hence the product is independent of line .

  3. Category:Metric geometry - Wikipedia

    en.wikipedia.org/wiki/Category:Metric_geometry

    Download QR code; Print/export Download as PDF; Printable version; ... Metric geometry is a branch of geometry with metric spaces as the main object of study.

  4. Geometry - Wikipedia

    en.wikipedia.org/wiki/Geometry

    Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, [a] which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental ...

  5. List of differential geometry topics - Wikipedia

    en.wikipedia.org/wiki/List_of_differential...

    See also multivariable calculus, list of multivariable calculus topics. Manifold. Differentiable manifold; Smooth manifold; Banach manifold; Fréchet manifold; Tensor analysis. Tangent vector

  6. List of interactive geometry software - Wikipedia

    en.wikipedia.org/wiki/List_of_interactive...

    Live Geometry is a free CodePlex project that lets you create interactive ruler and compass constructions and experiment with them. It is written in Silverlight 4 and C# 4.0 (Visual Studio 2010). The core engine is a flexible and extensible framework that allows easy addition of new figure types and features.

  7. Differential geometry - Wikipedia

    en.wikipedia.org/wiki/Differential_geometry

    Differential geometry has applications to both Lagrangian mechanics and Hamiltonian mechanics. Symplectic manifolds in particular can be used to study Hamiltonian systems. Riemannian geometry and contact geometry have been used to construct the formalism of geometrothermodynamics which has found applications in classical equilibrium thermodynamics.

  8. Lists of mathematics topics - Wikipedia

    en.wikipedia.org/wiki/Lists_of_mathematics_topics

    Topology developed from geometry; it looks at those properties that do not change even when the figures are deformed by stretching and bending, like dimension. Glossary of differential geometry and topology; Glossary of general topology; Glossary of Riemannian and metric geometry; Glossary of scheme theory; List of algebraic geometry topics

  9. Ideal point - Wikipedia

    en.wikipedia.org/wiki/Ideal_point

    In hyperbolic geometry, an ideal point, omega point [1] or point at infinity is a well-defined point outside the hyperbolic plane or space. Given a line l and a point P not on l , right- and left- limiting parallels to l through P converge to l at ideal points .