Compound evolutions are those which change the shape and figure of battalions, break them into divisions or companies, separate the companies from the main body, and again replace or rejoin them; in a word which afford the means of presenting a front at every direction.
Compound evolutions are practised either by repeating the same simple evolution several times, or by going through several simple evolutions, or moving in different modes with different parts of the same corps, which ultimately tend to the same object.
The Evolutions of the ancients were formed and executed with uncommon good sense and ability. Considering the depth and size of the Grecian phalanx, it is astonishing how the different parts could be rendered susceptible of the most intricate and varied evolutions. The Roman legion, though more favorable to such changes and conversions, from being more loose and detached, did not execute them upon more sound or better principles.
Evolution (in geometry) the equal evolution of the periphery of a circle, or any other curve, is such a gradual approach of the circumference to rectitude, as that all its parts do meet together, and equally evolve or unbend; so that the same line becomes successively a less arch of a reciprocally greater circle, till at last they turn into a straight line.
Evolution of powers (in algebra) extracting of roots from any given power, being the reverse of involution.
EXAGON. See [Hexagon].
EXAMINER. One who scrutinizes.
EXCAVATION, the act of cutting or otherwise making hollows; also the cavity formed. In military matters, it is generally applied to the place from whence the earth or other substance has been taken by mining.
EXAMPLE, any act or word which disposes to imitation. The example of a superior officer has considerable influence over the mind of an inferior; but in no instance does it appear more important than in the good and bad behaviour of a non-commissioned officer or corporal. These characters, therefore, should be particularly correct in their duties, tenacious of every principle of military honor, and remarkable for honesty. Old soldiers should likewise direct their attention to the strict observance of rules and regulations, as young recruits always look up to them for example.
EXAMINATION, a scrutiny or investigation of abilities, conduct, &c. All officers of artillery and engineers should undergo an examination in mathematics, fortification, and gunnery, prior to their having commissions. Surgeons and assistant surgeons should be examined before a medical board.