### Analysis

**ANAL'YSIS**, *noun* [Gr. a loosing, or resolving, from to loosen. See Loose.]

**1.** The separation of a compound body into its constituent parts; a resolving; as, an *analysis* of water, air or oil, to discover its elements.

**2.** A consideration of anything in its separate parts; an examination of the different parts of a subject, each separately; as the words which compose a sentence, the notes of a tune, or the simple propositions which enter into an argument. It is opposed to synthesis.

In mathematics, *analysis* is the resolving of problems by algebraic equations. The *analysis* of finite quantities is otherwise called algebra, or specious arithmetic. The *analysis* of infinites is the method of fluxions, or the differential calculus.

In logic, *analysis* is the tracing of things to their source, and the resolving of knowledge into its original principles.

**3.** A syllabus, or table of the principal heads of a continued discourse, disposed in their natural order.

**4.** A brief, methodical illustration of the principles of a science. In this sense, it is nearly synonymous with synopsis.