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Distance to exsphere center from a vertex of a regular tetrahedron

The exsphere of a face of a regular tetrahedron is the sphere outside the tetrahedron which touches the face and the planes defined by extending the ... more

Sum of consecutive (triangular) cubes (Nicomachus's theorem)

In number theory, the sum of the first n cubes is the square of the nth triangular number. The sequence of squared triangular numbers is

0, 1, 9, ... more

Volume of Spherical Dome (or cap)

The volume of the spherical dome, which is a portion of a sphere cut off by a plane, can be calculated by the radius of the base of the dome and the ... more

Chord length of a Circular segment

Circular segment is a region of a circle which is “cut off” from the rest of the circle by a secant or a chord. More formally, a Circular ... more

Height of a Circular Segment

Circular segment is a region of a circle which is “cut off” from the rest of the circle by a secant or a chord. More formally, a Circular segment is a ... more

Number of quadrisecants of an algebraic curve

In geometry, a quadrisecant line of a curve is a line that passes through four points of the curve.
In algebraic geometry Arthur Cayley derived a ... more

Atomic packing factor

In crystallography, atomic packing factor (APF), packing efficiency or packing fraction is the fraction of volume in a crystal ... more

Schwarzschild radius

The Schwarzschild radius (sometimes historically referred to as the gravitational radius) is the radius of a sphere such that, if all the ... more

Strouhal number (related to Reduced Frequency)

In dimensional analysis, the Strouhal number (St) is a dimensionless number describing oscillating flow mechanisms. In certain cases like heaving ... more

Lame's first parameter (for two-dimensional solids)

In linear elasticity, the Lame parameters are the two parameters that constitute a parametrization of the elastic moduli for homogeneous isotopic media. ... more

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