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Having equal differences; as, the terms of arithmetical progression are equidifferent.

he harmony). -- Figurate numbers (Math.), numbers, or series of numbers, formed from any arithmetical progression in which the first term is a unit, and the difference a whole number, by taking the first term, and the sums of the first two, first three, first four, etc., as the successive terms of a new series, from w…

, 18, 34, 55, etc., being figurate numbers formed by adding successively the terms of the arithmetical series 1, 6, 11, 16, 21, etc.

es called a prime ('), composed of twelve seconds ('\'b7), as in the duodecimal system of arithmetic. 12 seconds ('\'b7) make 1 inch or prime. 12 inches or primes (') make 1 foot. B. Greenleaf.

uxiliary numbers, devised by John Napier, of Merchiston, Scotland (1550-1617), to abridge arithmetical calculations, by the use of addition and subtraction in place of multiplication and division.

Sexagesimal, or made on the scale of 60; as, logistic, or sexagesimal, arithmetic. Logistic, or Proportional, logarithms, certain logarithmic numbers used to shorten the calculation of the fourth term of a proportion of which one of the terms is a given constant quantity, commonly one hour, while the other terms are ex…

A system of arithmetic, in which numbers are expressed in a scale of 60; logistic arithmetic.

formed by adding the quantities together and dividing by their number, which is called an arithmetical mean. A geometrical mean is the square root of the product of the quantities.

What a mental power This eye shoots forth! Shak. Mental alienation, insanity. -- Mental arithmetic, the art or practice of solving arithmetical problems by mental processes, unassisted by written figures.

tery over it. A letter desires all young wives to make themselves mistresses of Wingate's Arithmetic. Addison.

The arithmetical character 0; a cipher. See Cipher. To set at naught, to treat as of no account; to disregard; to despise; to defy; to treat with ignominy. "Ye have set at naught all my counsel." Prov. i. 25.

technical facts, quantities, etc. Esp., the system of figures, letters, and signs used in arithmetic and algebra to express number, quantity, or operations.

A easy and concise method of applying the rules of arithmetic to questions which occur in trade and business.

Regular or proportional advance in increase or decrease of numbers; continued proportion, arithmetical, geometrical, or harmonic.

e third divided by the fourth; -- called also geometrical proportion, in distinction from arithmetical proportion, or that in which the difference of the first and second is equal to the difference of the third and fourth.

The four "liberal arts," arithmetic, music, geometry, and astronomy; -- so called by the schoolmen. See Trivium.

ts were tied in the smaller cords, representing definite numbers. It was chiefly used for arithmetical purposes, and to register important facts and events. [Written also quipo.] Tylor. The mysterious science of the quipus . . . supplied the Peruvians with the means of communicating their ideas to one another, and of t…

The method or art of performing arithmetical operations by means of Napier's bones. See Napier's bones. [Written also rhabdology.]

Having an assignable arithmetical or numerical value or meaning; not imaginary.

ed from one or more of the preceding by a fixed law, called the law of the series; as, an arithmetical series; a geometrical series.