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  2. List of formulas in elementary geometry - Wikipedia

    en.wikipedia.org/wiki/List_of_formulas_in...

    The basic quantities describing a sphere (meaning a 2-sphere, a 2-dimensional surface inside 3-dimensional space) will be denoted by the following variables r {\displaystyle r} is the radius, C = 2 π r {\displaystyle C=2\pi r} is the circumference (the length of any one of its great circles ),

  3. Fixation disparity - Wikipedia

    en.wikipedia.org/wiki/Fixation_disparity

    This x-intercept is also referred to as aligning prism or – in earlier times – as associated phoria when the subjective nonius method was used (sP 0) the slope of the curve near zero prism load; Fig. 3: Fixation disparity as a function of the forced vergence angle which is induced by base-in prisms and base-out prisms in front of the eyes.

  4. Prism (geometry) - Wikipedia

    en.wikipedia.org/wiki/Prism_(geometry)

    Prism (geometry) In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases.

  5. Chvorinov's rule - Wikipedia

    en.wikipedia.org/wiki/Chvorinov's_rule

    Where the modulus M is the ratio of the casting's volume to its surface area: M = V A {\displaystyle M={\frac {V}{A}}} The mold constant B depends on the properties of the metal, such as density, heat capacity , heat of fusion and superheat, and the mold, such as initial temperature, density, thermal conductivity , heat capacity and wall thickness.

  6. List of moments of inertia - Wikipedia

    en.wikipedia.org/wiki/List_of_moments_of_inertia

    List of moments of inertia. Moment of inertia, denoted by I, measures the extent to which an object resists rotational acceleration about a particular axis; it is the rotational analogue to mass (which determines an object's resistance to linear acceleration). The moments of inertia of a mass have units of dimension ML 2 ( [mass] × [length] 2).

  7. Frustum - Wikipedia

    en.wikipedia.org/wiki/Frustum

    Frustum. In geometry, a frustum (Latin for 'morsel'); [a] (pl.: frusta or frustums) is the portion of a solid (normally a pyramid or a cone) that lies between two parallel planes cutting the solid. In the case of a pyramid, the base faces are polygonal and the side faces are trapezoidal. A right frustum is a right pyramid or a right cone ...

  8. Stereographic projection - Wikipedia

    en.wikipedia.org/wiki/Stereographic_projection

    The unit sphere S 2 in three-dimensional space R 3 is the set of points (x, y, z) such that x 2 + y 2 + z 2 = 1. Let N = (0, 0, 1) be the "north pole", and let M be the rest of the sphere. The plane z = 0 runs through the center of the sphere; the "equator" is the intersection of the sphere with this plane.

  9. Cylinder - Wikipedia

    en.wikipedia.org/wiki/Cylinder

    In projective geometry, a cylinder is simply a cone whose apex (vertex) lies on the plane at infinity. If the cone is a quadratic cone, the plane at infinity (which passes through the vertex) can intersect the cone at two real lines, a single real line (actually a coincident pair of lines), or only at the vertex.