cylindrical etymology

Etymology

  • Latin: cylindrus, from the Greek κύλινδρος (kulindros), meaning "roller"

Origins

The term "cylinder" has been used since ancient times to describe a three-dimensional shape that has a circular cross-section and is parallel throughout its length.

In the context of mathematics, the cylinder is a surface of revolution generated by rotating a rectangle around one of its sides. It can also be defined as the volume enclosed by two parallel circular planes and the curved surface generated by rotating a line segment connecting the centers of the circles.

Meaning

A cylinder is a geometric solid that has the following characteristics:

  • Two parallel circular bases: The bases are congruent and lie on parallel planes.
  • Curved surface: The surface that connects the bases is called the lateral surface or the mantle. It is a smooth surface that is generated by rotating a straight line around the axis of the cylinder.
  • Height: The distance between the bases is called the height of the cylinder.
  • Axis: The line segment that connects the centers of the bases is called the axis of symmetry.
  • Radius: The radius of the cylinder is the radius of its bases.

Cylinders are commonly used in various fields, including engineering, physics, and architecture. They are used in applications such as pipes, tubes, storage tanks, and mechanical parts.

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