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  2. Prism correction - Wikipedia

    en.wikipedia.org/wiki/Prism_correction

    Prism correction is commonly specified in prism dioptres, a unit of angular measurement that is loosely related to the dioptre. Prism dioptres are represented by the Greek symbol delta (Δ) in superscript.

  3. Projective geometry - Wikipedia

    en.wikipedia.org/wiki/Projective_geometry

    Geometry. In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that, compared to elementary Euclidean geometry, projective geometry has a different setting, projective space, and a selective set of basic geometric concepts.

  4. Euclidean plane isometry - Wikipedia

    en.wikipedia.org/wiki/Euclidean_plane_isometry

    To find a formula for F c,v, we first use the dot product to find the component t of p − c in the v direction, t = ( p − c ) ⋅ v = ( p x − c x ) v x + ( p y − c y ) v y , {\displaystyle t=(p-c)\cdot v=(p_{x}-c_{x})v_{x}+(p_{y}-c_{y})v_{y},}

  5. Fundamental theorem of Riemannian geometry - Wikipedia

    en.wikipedia.org/wiki/Fundamental_theorem_of...

    The fundamental theorem asserts both existence and uniqueness of a certain connection, which is called the Levi-Civita connection or (pseudo-)Riemannian connection.

  6. Solid geometry - Wikipedia

    en.wikipedia.org/wiki/Solid_geometry

    Basic topics in solid geometry and stereometry include: incidence of planes and lines. dihedral angle and solid angle. the cube, cuboid, parallelepiped. the tetrahedron and other pyramids. prisms. octahedron, dodecahedron, icosahedron. cones and cylinders. the sphere.

  7. Riemann–Roch theorem - Wikipedia

    en.wikipedia.org/wiki/Riemann–Roch_theorem

    Statement of the theorem. The Riemann–Roch theorem for a compact Riemann surface of genus with canonical divisor states. Typically, the number is the one of interest, while is thought of as a correction term (also called index of speciality [2] [3]) so the theorem may be roughly paraphrased by saying.

  8. Antiprism - Wikipedia

    en.wikipedia.org/wiki/Antiprism

    Antiprisms are a subclass of prismatoids, and are a (degenerate) type of snub polyhedron. Antiprisms are similar to prisms, except that the bases are twisted relatively to each other, and that the side faces (connecting the bases) are 2n triangles, rather than n quadrilaterals .

  9. Geometric measure theory - Wikipedia

    en.wikipedia.org/wiki/Geometric_measure_theory

    Geometric measure theory. In mathematics, geometric measure theory ( GMT) is the study of geometric properties of sets (typically in Euclidean space) through measure theory. It allows mathematicians to extend tools from differential geometry to a much larger class of surfaces that are not necessarily smooth .

  10. Gauss–Bonnet theorem - Wikipedia

    en.wikipedia.org/wiki/Gauss–Bonnet_theorem

    In the mathematical field of differential geometry, the Gauss–Bonnet theorem (or Gauss–Bonnet formula) is a fundamental formula which links the curvature of a surface to its underlying topology. In the simplest application, the case of a triangle on a plane, the sum of its angles is 180 degrees.

  11. Esophoria - Wikipedia

    en.wikipedia.org/wiki/Esophoria

    Esophoria is an eye condition involving inward deviation of the eye, usually due to extra-ocular muscle imbalance. It is a type of heterophoria. Cause. Causes include: Refractive errors; Divergence insufficiency; Convergence excess; this can be due to nerve, muscle, congenital or mechanical anomalies.