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Of or pertaining to arithmetic; according to the rules or method of arithmetic. Arithmetical complement of a logarithm. See Logarithm. -- Arithmetical mean. See Mean. -- Arithmetical progression. See Progression. -- Arithmetical proportion. See Proportion.

Conformably to the principles or methods of arithmetic.

See Logarithmic.

Logarithmically.

A calculating table or frame; an instrument for performing arithmetical calculations by balls sliding on wires, or counters in grooves, the lowest line representing units, the second line, tens, etc. It is still employed in China.

To perform the arithmetical operation of addition; as, he adds rapidly.

A mean proportion, medial sum or quantity, made out of unequal sums or quantities; an arithmetical mean. Thus, if A loses 5 dollars, B 9, and C 16, the sum is 30, and the average 10.

A compliment. [Obs.] Shak. Arithmetical compliment of a logarithm. See under Logarithm. -- Arithmetical complement of a number (Math.), the difference between that number and the next higher power of 10; as, 4 is the complement of 6, and 16 of 84. -- Complement of an arc or angle (Geom.), the difference between that…

To subject to arithmetical division.

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.

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.

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.

Shak. Mental alienation, insanity. -- Mental arithmetic, the art or practice of solving arithmetical problems by mental processes, unassisted by written figures.

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.

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.

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.]