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2. Perimeter of an ellipse - Wikipedia

   en.wikipedia.org/wiki/Perimeter_of_an_ellipse

   In more recent years, computer programs have been used to find and calculate more precise approximations of the perimeter of an ellipse. In an online video about the perimeter of an ellipse, recreational mathematician and YouTuber Matt Parker, using a computer program, calculated numerous approximations for the perimeter of an ellipse. [4]

3. Ellipse - Wikipedia

   en.wikipedia.org/wiki/Ellipse

   An ellipse (red) obtained as the intersection of a cone with an inclined plane. Ellipse: notations Ellipses: examples with increasing eccentricity. In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.

4. Illumination problem - Wikipedia

   en.wikipedia.org/wiki/Illumination_problem

   Solutions to the illumination problem by George W. Tokarsky (26 sides) and David Castro (24 sides) This problem was also solved for polygonal rooms by George Tokarsky in 1995 for 2 and 3 dimensions, which showed that there exists an unilluminable polygonal 26-sided room with a "dark spot" which is not illuminated from another point in the room ...

5. Principal axis theorem - Wikipedia

   en.wikipedia.org/wiki/Principal_axis_theorem

   Thus, in our example expression, the problem is how to absorb the coefficient of the cross-term 8xy into the functions u and v. Formally, this problem is similar to the problem of matrix diagonalization, where one tries to find a suitable coordinate system in which the matrix of a linear transformation is diagonal. The first step is to find a ...

6. Eccentricity (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Eccentricity_(mathematics)

   For example, on a triaxial ellipsoid, the meridional eccentricity is that of the ellipse formed by a section containing both the longest and the shortest axes (one of which will be the polar axis), and the equatorial eccentricity is the eccentricity of the ellipse formed by a section through the centre, perpendicular to the polar axis (i.e. in ...

7. Semi-major and semi-minor axes - Wikipedia

   en.wikipedia.org/wiki/Semi-major_and_semi-minor_axes

   The semi-minor axis of an ellipse runs from the center of the ellipse (a point halfway between and on the line running between the foci) to the edge of the ellipse. The semi-minor axis is half of the minor axis. The minor axis is the longest line segment perpendicular to the major axis that connects two points on the ellipse's edge.