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Near branch of a hyperbola in polar coordinates with respect to a focal point

In mathematics, a hyperbola is a type of smooth curve, lying in a plane, defined by its geometric properties or by equations for which it is the solution ... more

Spirograph (rotation angle of the inner circle)

Spirograph is a geometric drawing toy that produces mathematical roulette curves of the variety technically known as hypotrochoids and epitrochoids.
A ... more

Area of the spherical zone

Spherical zone is the surface of the solid defined by cutting a sphere with a pair of parallel planes excluding the top and bottom bases. The area can be ... more

Radius of an inscribed sphere in a circumscribed Regular Octahedron

An octahedron is a polyhedron with eight faces. A regular octahedron is a Platonic solid composed of eight equilateral triangles, four of which meet at ... more

Radius of tetrahedron's insphere (related to the edge)

The inscribed sphere or insphere of a regular tetrahedron is a sphere that is contained within the tetrahedron and tangent to each of the ... more

Volume of Spherical segment

Spherical segment is the solid defined by cutting a sphere with a pair of parallel planes. The volume can be calculated by the radius of the spherical ... more

Regular Icosahedron ( inscribed sphere radius)

An icosahedron is a polyhedron with 20 triangular faces, 30 edges and 12 vertices. A regular icosahedron has 20 identical equilateral faces, with five of ... more

Radius of tetrahedron's midsphere (related to the circumradius and the inradius)

The midsphere or intersphere of a regular tetrahedron is a sphere which is tangent to every edge of the tetrahedron.

... more

Conical pendulum

A conical pendulum is a weight (or bob) fixed on the end of a string (or rod) suspended from a pivot. Its construction is similar to an ordinary pendulum; ... more

Area of a Sphere

A sphere is a perfectly round geometrical and circular object in three-dimensional space that resembles the shape of a completely round ball. A sphere is ... more

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