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Hyperbolic triangle ( length of the altitude)

A hyperbolic sector is a region of the Cartesian plane {(x,y)} bounded by rays from the origin to two points (a, 1/a) and (b, 1/b) and by the hyperbola xy ... more

Area of a regular circumscribed polygon

The area of a regular circumscribed polygon can be computed by the radius r of its inscribed circle and its perimeter p

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Surface area of a right regular pyramid

The surface of a right regular pyramid can be calculated by the area and the perimeter of the base and the slant height

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Radius of inscribed sphere of a cube

The inscribed sphere or insphere of cube is a sphere that is contained within the cube and tangent to each of the cube’s faces

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Dodecahedron regular (inscribed sphere radius

A regular dodecahedron is a polyhedron composed of 12 regular pentagonal faces, with three meeting at each vertex. It has 20 vertices, 30 edges and 160 ... more

Area of a right prism (surface area)

Prism is a polyhedron with an n-sided polygonal base, a translated copy (not in the same plane as the first), and “n” other faces (necessarily ... more

Area moments of inertia for a filled triangular area with respect to an axis through the centroid

The second moment of area, also known as moment of inertia of plane area, area moment of inertia, polar moment of area or second area moment, is a ... more

Similar triangles

Ratio of areas of similar triangles

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Distance betweeen the circumcenter and the orthocenter of a triangle

A circumscribed circle or circumcircle of a triangle is a circle which passes through all the vertices of the triangle.The center of this circle is called ... more

Diameter of the circumcircle of a triangle (trigometric expression)

The diameter of the circumcircle is related to the area of the triangle and the sines of the angles

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