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FRUSTUM

Volume 4 · 132 words · 1778 Edition

in mathematics, a part of some solid body separated from the rest.

The frustum of a cone is the part that remains, when the top is cut off by a plane parallel to the base; and is otherwise called a truncated cone. See CONIC SECTIONS.

The frustum of a pyramid is also what remains after the top is cut off by a plane parallel to its base.

The frustum of a globe or sphere is any part thereof cut off by a plane, the solid contents of which may be found by this rule: To three times the square of the semidiameter of the base, add the square of its height; then multiply that sum by the height; and this product multiplied by \( \frac{1}{3} \) gives the solidity of the frustum.