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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. List of formulae involving π - Wikipedia

    en.wikipedia.org/wiki/List_of_formulae_involving_π

    More formulas of this nature can be given, as explained by Ramanujan's theory of elliptic functions to alternative bases. Perhaps the most notable hypergeometric inversions are the following two examples, involving the Ramanujan tau function τ {\displaystyle \tau } and the Fourier coefficients j {\displaystyle \mathrm {j} } of the J-invariant ...

  4. Diameter - Wikipedia

    en.wikipedia.org/wiki/Diameter

    In this context, a diameter is any chord which passes through the conic's centre. A diameter of an ellipse is any line passing through the centre of the ellipse. [7] Half of any such diameter may be called a semidiameter, although this term is most often a synonym for the radius of a circle or sphere. [8] The longest diameter is called the ...

  5. Paraboloid - Wikipedia

    en.wikipedia.org/wiki/Paraboloid

    This is sometimes called the "linear diameter", and equals the diameter of a flat, circular sheet of material, usually metal, which is the right size to be cut and bent to make the dish. Two intermediate results are useful in the calculation: P = 2 F (or the equivalent: P = ⁠ R 2 / 2 D ⁠ ) and Q = √ P 2 + R 2 , where F , D , and R are ...

  6. List of dimensionless quantities - Wikipedia

    en.wikipedia.org/wiki/List_of_dimensionless...

    optics, photography (ratio of focal length to diameter of aperture) Fresnel number: F = Augustin-Jean Fresnel: optics (slit diffraction) [6] Refractive index: n = electromagnetism, optics (speed of light in vacuum over speed of light in a material) Transmittance: T

  7. Shields parameter - Wikipedia

    en.wikipedia.org/wiki/Shields_parameter

    is a characteristic particle diameter of the sediment. The critical shear stress and also the critical Shields number ( τ ∗ {\displaystyle \tau _{\ast }} and θ ∗ {\displaystyle \theta _{\ast }} ) describe the conditions when the sediment starts moving.

  8. Dimensional analysis - Wikipedia

    en.wikipedia.org/wiki/Dimensional_analysis

    Checking for dimensional homogeneity is a common application of dimensional analysis, serving as a plausibility check on derived equations and computations. It also serves as a guide and constraint in deriving equations that may describe a physical system in the absence of a more rigorous derivation.

  9. Curve of constant width - Wikipedia

    en.wikipedia.org/wiki/Curve_of_constant_width

    The three-dimensional analog of a Reuleaux triangle, the Reuleaux tetrahedron, does not have constant width, but minor changes to it produce the Meissner bodies, which do. [ 2 ] [ 13 ] The curves of constant width may also be generalized to the bodies of constant brightness , three-dimensional shapes whose two-dimensional projections all have ...

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