7. (Arith.) Three figures taken together in numeration; thus, 140 is one degree, 222,140 two degrees. 8. (Algebra) State as indicated by sum of exponents; more particularly, the degree of a term is indicated by the sum of the exponents of its literal factors; thus, a^2b^3c is a term of the sixth degree. The degree of a power, or radical, is denoted by its index, that of an equation by the greatest sum of the exponents of the unknown quantities in any term; thus, ax^4 + bx^2 = c, and mx^2y^2 + nyx = p, are both equations of the fourth degree. 9. (Trig.) A 360th part of the circumference of a circle, which part is taken as the principal unit of measure for arcs and angles. The degree is divided into 60 minutes and the minute into 60 seconds. 10. A division, space, or interval, marked on a mathematical or other instrument, as on a thermometer. 11. (Mus.) A line or space of the staff. Note: The short lines and their spaces are added degrees. Accumulation of degrees. (Eng. Univ.) See under Accumulation. By degrees, step by step; by little and little; by moderate advances. ``I'll leave it by degrees.'' --Shak. Degree of acurve or surface (Geom.), the number which expresses the degree of the equation of the curve or surface in rectilinear co["o]rdinates. A straight line will, in general, meet the curve or surface in a number of points equal to the degree of the curve or surface and no more. Degree of latitude (Geog.), on the earth, the distance on a meridian between two parallels of latitude whose latitudes differ from each other by one degree. This distance is not the same on different parts of a meridian, on account of the flattened figure of the earth, being 68.702 statute miles at the equator, and 69.396 at the poles. Degree of longitude, the distance on a parallel of latitude between two meridians that make an angle of one degree with each other at the poles -- a distance which varies as the cosine of the latitude, being at the equator 69.16 statute miles. To a degree, to an extreme; exceedingly; as, mendacious to a degree. It has been said that Scotsmen . . . are . . . grave to a degree on occasions when races more favored by nature are gladsome to excess. --Prof. Wilson.

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