the fourth part of anything, the fractional expression for which is $\frac{1}{4}$.
QUARTER is generally used to signify the fourth part of an hundredweight avoirdupois, or twenty-eight pounds. Quarter, used as the name of a dry measure, is the fourth part of a ton in weight, or eight bushels.
QUARTERS of a horse is employed in various senses. Thus the shoulders and fore-legs are called the fore-quarters, and the hips and hinder-legs the hind-quarters. The quarters of a horse's foot are the sides of the coffin, comprehended between the toe and the heel; the inner quarters are those opposite to one another, facing from one foot to the other, and these are always weaker than the outside quarters, which lie on the external sides of the coffin. False-quarters are a cleft in the horn of a horse's hoof, extending from the coronet to the shoe. A horse is said to be a quarter-cast when, for any disorder in the coffin, we are obliged to cut one of the quarters of the hoof.
in astronomy, the fourth part of the moon's period. Thus from the new moon to the quadrature is the first quarter; from this to full moon, the second quarter; and so on.