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Hydraulic diameter

For flow in a pipe or a sphere moving in a fluid the internal diameter is generally used today. Other shapes such as rectangular pipes or non-spherical ... more

Varignon's theorem (Varignon parallelogram)

The Varigons theorem states that :
The midpoints of the sides of an arbitrary quadrangle form a parallelogram. If the quadrangle is convex or ... more

Kepler's equation - y coordinate

In orbital mechanics, Kepler’s equation relates various geometric properties of the orbit of a body subject to a central force.

It was first ... more

Oloid enclosed Volume

An oloid is a three-dimensional curved geometric object that was discovered by Paul Schatz in 1929. It is the convex hull of a skeletal frame made by ... more

Oloid Surface Area

An oloid is a three-dimensional curved geometric object that was discovered by Paul Schatz in 1929. It is the convex hull of a skeletal frame made by ... more

Radius of circumsphere of the regular tetrahedron

The radius of the circumsphere of the regular tetrahedron can be computed by the edge length

... more

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

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

... more

Circumference of an Ellipse - Ramanujan, second approximation

An ellipse is a curve on a plane surrounding two focal points such that a straight line drawn from one of the focal points to any point on the curve and ... 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

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

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

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