arithmetical

[Eng. arithmetic; -al.] Pertaining to arithmetic. should his comprehension of arithmetical principles be unquestionable." Herbert Spencer: Psychol., 2nd ed., vol. ii., § 388, p. 312. arithmetical complement. That which a number wants to make it reach the next highest decimal denomination. Thus the arithmetical complement of 4 is 6, for 4+6 are 10, and that of 642 is 358, because 642 +358 are 1,000. The arithmetical complement of a logarithm is what it wants to make it reach 10. arithmetical mean. 1. The number, whether it be an integer or a fraction, which is exactly intermediate between two others. Thus, 5 is the arithmetical mean between 2 and 8; for 2+3 are = 5, and 5+3 are 8. To find such a mean, add the two numbers together, and divide their sum by 2; thus 2+8=10, and 10 ÷ 2 = 5. 2. More loosely: Any one of several numbers in an arithmetical ratio (q.v.) interposed between two other numbers. Thus, if 6, 9, and 12 be interposed between 3 and 15, any one of them may be called an arithmetical mean between these two numbers. arithmetical progre ion. A series of numbers increasing or diminishing uniformly by the same number. If they increase, the arithmetical progre ion is said to be ascending, and if they decrease, descending. Thus the series 3, 6, 9, 12, 15 is an ascending arithmetical progre ion mounting up by the continued addition of 3; and the series 8, 6, 4, 2, is a descending one, falling regularly by 2. [PROGRESSION.] arithmetical proportion. The relation existing between four numbers, of which the first is as much greater or le than the second, as the third is than the fourth; the equality of two differences or arithmetical metical; -ly.] In an arithmetical manner; after the principles of arithmetic. "Though the fifth part of a xestes, being a simple fraction, and arithmetically regular, it is yet no proper part of that measure."-Arbuthnot: On Coins. ăr-ith-me-ti-cian, s . [Eng. arithmetic; -ian. In Fr. arithméticien .] One skilled in arithmetic; a proficient in arithmetic. "Gregory King, Lancaster herald, a political arith metician of great acutene and judgment." - Macau lay: Hist. Eng . , ch. iii.