Collier's New Encyclopedia

A complete general encyclopedia of 1921 — the world as it was understood just after the Great War, from Aachen to Zwingli, across twelve volumes and six thousand pages.

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Power

the product arising from the multiplication of a quantity or number into itself. The first power of any quantity or number is the quantity or number itself; the second power is the square or product of the quantity or number multiplied by itself; the third power is the cube or product of the square of the quantity or number multiplied by the original quantity or number; this again multiplied by the original quantity or number is the fourth power. Thus the powers of a are a (or a¹,), α, α, α, that is a X a (α²), a² X a (as), etc. The POWERS figures 2, 3, 4, etc., denoting the powers of the quantities, are called exponents or indices. Powers which have fractional and negative indices are termed fractional and negative powers respectively. In mechanics: That which produces motion or force; that which communicates motion to bodies, changes the motion of bodies, or prevents the motion of bodies; a mechanical agent or power.

Force or effect considered as resulting In law: (1) A term employed to denote from the action of a machine. a reservation to either party in a covenant enabling him to do certain acts regarding the property conveyed. (2) An authority given by one party to another to act for him or to do certain acts, as to make leases, etc.

In optics, the magnifying or diminishing capacity of any lens or set of lenses. By ellipsis the word is used for the lens itself.

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