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arithmetical, a. (and n.)|ærɪθˈmɛtɪkəl|
[f. L. arithmētic-us, a. Gr. ἀριθµητικ-ός numeric (see arithmetic n.1) + -al1.]
A. adj. Of, pertaining to, or connected with, arithmetic; according to the rules of arithmetic. arithmetical mean, arithmetical progression, arithmetical proportion: see quot.
1543Recorde Gr. Arts (1646) 299 The reasons of works Arithmeticall. 1594Blundevil Exerc. i. xiii. 39 Arithmeticall Progression..is that which proceedeth by like difference of quantity, as thus; 3, 5, 7, 9, 11, 13. 1660R. Coke Justice Vind. 23 As 3. 4. 5. 6. are in Arithmetical proportion, for they increase equally; and 3. added to 6. is equal to 4. added to 5. 1798Hutton Course Math. (1810) I. 114 To find an Arithmetical Mean..Add the two given extremes or terms together, and take half their sum. 1855Macaulay Hist. Eng. IV. xix. 327 In the face of arithmetical demonstration.
B. as n. A number in an arithmetical progression.
1798Hutton Course Math. (1827) I. 123 The sum of the extremes is equal to double the mean, which is the property of arithmeticals.
Add:[A.] (Later examples.) Cf. arithmetic a.
1949D. R. Hartree Calculating Instruments & Machines 55 Other machines..use relays not only for control but for the storage and arithmetical units of the machines themselves... The arithmetical operations may be carried out by a structurally distinct portion of the machine, which can then be regarded as a unit, the ‘arithmetical unit’. 1980J.-L. Baer Computer Syst. Archit. i. 4 The arithmetical-logical unit (ALU) performs arithmetic and logical operations. |