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Definition of degree : 1. 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.
2. A certain distance or remove in the line of descent, determining the proximity of blood; one remove in the chain of relationship; as, a relation in the third or fourth degree.
3. A division, space, or interval, marked on a mathematical or other instrument, as on a thermometer.
4. A line or space of the staff.
5. A step, stair, or staircase.
6. Grade or rank to which scholars are admitted by a college or university, in recognition of their attainments; as, the degree of bachelor of arts, master, doctor, etc.
7. Measure of advancement; quality; extent; as, tastes differ in kind as well as in degree.
8. One of a series of progressive steps upward or downward, in quality, rank, acquirement, and the like; a stage in progression; grade; gradation; as, degrees of vice and virtue; to advance by slow degrees; degree of comparison.
9. 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, a2b3c 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, ax4 + bx2 = c, and mx2y2 + nyx = p, are both equations of the fourth degree.
10. The point or step of progression to which a person has arrived; rank or station in life; position.
11. Three figures taken together in numeration; thus, 140 is one degree, 222, 140 two degrees.

Synonyms:

stagecoach, ground level, power point, tip, percentage point, head, measurement, link, leg, point in time, height, decimal point, stint, diploma, story, course, grad, rate, plane, arcdegree, spot, phase, compass point, shade, period, seriousness, qualification, graduation, proportion, eminence, compass, gunpoint, microscope stage, breaker point, size, credentials, spirit level, academic degree, storey, strength, distinction, full stop, full point, point, tier, detail, expanse, slowly but surely, gradation, inch by inch, floor, stratum, scope, title, gradually, testimonial, approval, gauge, big, score, pointedness, rung, dignity, primacy, peg, dimension, reach, dot, pitch, division, space, layer, length, potency, horizontal surface, credit, testimony, peak, hood, stop, honor, interval, item, standard, development, ratio, approbation, distributor point, quantity

genus, stock, brand, phylum, race, denomination, strain, rank, ilk, form, category, variety, order, make, family, breed, kind, grain, genotype, caste, persuasion, clan, class, people, style, label, classification, series, designation, taxonomy, species, stamp, type, set, mold, feather, kingdom, sort, stripe, line

position, state, footing, term, standing, place, mark, status, stage, station

notch, potential, amplitude, extent, magnitude, caliber, measure, level, grade, range, intensity, scale, step, quality

Usage examples:

• But of the degree of that change do you, my friend, judge. - "Anna St. Ives", Thomas Holcroft.
• I like the people, though not all in the same degree. - "The Attache or, Sam Slick in England, Complete", Thomas Chandler Haliburton.
• This Prince was, to the last degree, weary of the station he held. - "The Memoirs of Louis XV. and XVI., Volume 2 Being Secret Memoirs of Madame du Hausset, Lady's Maid to Madame de Pompadour, and of an Unknown English Girl and The Princess Lamballe", Madame du Hausset, and of an Unknown English Girl and the Princess Lamballe.