algebraic, algebraical

The American Dictionary and Cyclopedia · 1910 · p. 15
[Eng. algebra; -ic. In Port. algebraico.] 1. Gen. Relating to algebra; containing operations of algebra. "In the case of algebraic reasoning. bert Spencer, 2nd ed., vol. ii., p. 19, § 281. IMG:content-0357.png:[graphic] "-Her "Its algebraical conditions will be the following." -Airy on Sound (1868), p. 44. 2. Spec. Having but a finite number of terms, each term containing only addition, subtraction, multiplication, division, and extraction of roots, the exponents of which are given. (In this sense it is opposed to trans cendental .) Algebraic curve: A curve, the equation of which contains no transcendental quantities; a figure, the intercepted diameters of which bear always the same proportion to their respective ordinates. Algebraic signs: Symbols such as + (plus) the sign of addition; (minus) that of subtraction; x or that of multiplication; that of division; and ( ) implying that the quantities within parentheses are to be treated as if they were but a single one. ǎl-ġě-bra-i-cal-lý, adv . [ALGEBRAIC.] By the proce or proce es used in algebra. this, however, has not been proved alge braically."-Airy on Sound (1868), p. 122. ǎl-ġě-bra-ist, s. [Eng. algebra ; -ist. In Ger. and Dut. algebraist .] One who is proficient in algebra. the syn the tick and analytick methods of geometricians and algebraists ."- Watts : Logic.
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