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To alter or change in succession; to alternate; as, one mathematical quantity varies inversely as another. While fear and anger, with alternate grace, Pant in her breast, and vary in her face. Addison.

A formal phrase used in concluding a plea. Verification of an equation (Math.), the operation of testing the equation of a problem, to see whether it expresses truly the conditions of the problem. Davies & Peck. (Math. Dict.)

f elementary matter in continuous vortical motion. It is conveniently regarded in certain mathematical speculations as the typical form and structure of the chemical atom. -- Vortex wheel, a kind of turbine.

ncompressible, frictionless fluid. Various properties of such atoms (vortex atoms) can be mathematically deduced.

eous and equal displacement of the particles composing a wave of vibration. (b) (Geom.) A mathematical surface of the fourth order which, upon certain hypotheses, is the locus of a wave surface of light in the interior of crystals. It is used in explaining the phenomena of double refraction. See under Refraction. -- W…

ral powers are supposed to be exercised for good and beneficent purposes. Addison. Cotton Mather. -- White wolf. (Zoöl.) (a) A light-colored wolf (Canis laniger) native of Thibet; -- called also chanco, golden wolf, and Thibetan wolf. (b) The albino variety of the gray wolf. -- White wren (Zoöl.), the willow warbler;…

which represents a note of longest duration in common use; a semibreve. -- Whole number (Math.), a number which is not a fraction or mixed number; an integer. Whole snipe (Zoöl.), the common snipe, as distinguished from the smaller jacksnipe. [Prov. Eng.]

Seeking; proceeding by inquiry. Zetetic method (Math.), the method used for finding the value of unknown quantities by direct search, in investigation, or in the solution of problems. [R.] Hutton.

rtaining to a zone; having the form of a zone or zones. Zonal equation (Crystallog.), the mathematical relation which belongs to all the planes of a zone, and expresses their common position with reference to the axes. -- Zonal structure (Crystallog.), a structure characterized by the arrangements of color, inclusions…

rface of revolution included between two planes perpendicular to the axis. Davies & Peck (Math. Dict.)