frustum etymology

Etymology:

The word "frustum" comes from the Latin "frustum," meaning "piece" or "fragment."

Meaning:

A frustum is a part of a geometric shape formed by cutting it off at one or both ends. Specifically, it refers to:

  • Frustum of a cone: The part of a cone that is cut off by a plane parallel to its base.
  • Frustum of a pyramid: The part of a pyramid that is cut off by a plane parallel to its base.

Origin:

The term "frustum" was first used in the 16th century to describe a fragment of a statue or other object. It was later applied to geometric shapes in the 17th century.

Usage:

Frustums are commonly used in mathematics, architecture, and engineering. In mathematics, they are used to calculate volumes and surface areas. In architecture, they are used in the design of columns, towers, and other structures. In engineering, they are used in the design of nozzles, pipes, and other components.

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