alterity (alter it i)

[ Your outne is but the feeling of otherne ( alterity ) rendered intuitive, or alterity visually represented. Cole ridge , Notes on Shakspere, II. 295. or from one extreme to another; the country alternates between woods and open fields. - Alternating function, in math., a function of several variables which on the interchange of any two of them changes its sign, but not its absolute value. Thus, ( x - y ) is an alter nating function. alternate (al-ter'nat), a. and n. [L. altern a tus, pp. of altern are: see alternate, v.] I. a. 1. Being by turns; following each the other, recurringly, in succe ion of time or place; hence, reciprocal. alternation And bid alternate pa ions fall and rise. Pope , E ay on Criticism, 1. 375. Billows of alternate hope and despair. gamation. D. Webster, Bunker Hill Monument, June 17, 1825. Two detestable manners, the indigenous and the imported, were now in a state of alternate conflict and amal Macaulay , Dryden. Specifically, in bot .: ( a ) Placed at unequal heights upon the axis: as, alternate leaves, which are solitary at the nodes, in distinction from opposite or verticillate . (b) Opposite to the intervals between organs: as, petals which are alternate with sepals, or stamens with petals. Alternate Leaves. 2. Belonging to a series between the two members of every pair in which a member of another series intervenes; having one intervening between the two of each pair; every second: as, to read only the alternate lines; the odd numbers form one series of alternate numerals, the ever numbers another. -3. Consisting of alternating parts or members; proceeding by alternation: as, an al ternate series; alternate riming; alternate proportion. Alligation alternate. See alligation. - Alternate angles, in geom., the internal angles made by two lines with a third, on opposite sides of it. If the two lines are parallel, the alternate angles are equal. Thus, if the parallels AB, CD A IMG:content-0570.png:[blocks in formation] sign changed by reversal of the order of the factors: as, The square of any such number vanishes. mn -- nım. -Alternate proportion, the equal proportion that subsists between the alternate members of the pairs of a series of proportionals. Thus, if a: b:: e: d, then by alternate proportion ac:: b: d. Alternate quarters, in her., quarters diagonally opposite to each other, as the first and fourth quarters, and the second and third. They have usually the same charges. II. n. 1. That which happens by turns with something else; vici itude. [Rare.] Rais'd in pleasure, or répos'd in ease, Grateful alternates of substantial peace. Prior , Solomon, i. 2. In political conventions and some other representative bodies, one authorized to take the place of another in his absence; a substitute. [United States.] alternately (al-ter'nāt-li), adv. In an alternate manner. ( a ) In reciprocal succe ion; by turns, so that each is succeeded by that which it succeeds, in the same way as night follows day and day follows night. There is a sort of delight, which is alternately mixed with terror and sorrow, in the contemplation of death. Steele , Spectator, No. 133. (b) With the omi ion or intervention of one between each two: as, read the lines alternately; in French prosody male and female rimes occur in couplets alternately. (c) In her., according to alternate quarters (which see, under alternate ).-Alternately pinnate, in bot., a term applied to a pinnate leaf when the leaflets on one side of the petiole are not opposite to those upon the other side.