2. (Chem.) The separation of a compound substance, by
chemical processes, into its constituents, with a view to
ascertain either (a) what elements it contains, or (b) how
much of each element is present. The former is called
{qualitative}, and the latter {quantitative analysis}.
3. (Logic) The tracing of things to their source, and the
resolving of knowledge into its original principles.
4. (Math.) The resolving of problems by reducing the
conditions that are in them to equations.
5.
(a) A syllabus, or table of the principal heads of a
discourse, disposed in their natural order.
(b) A brief, methodical illustration of the principles of
a science. In this sense it is nearly synonymous with
synopsis.
6. (Nat. Hist.) The process of ascertaining the name of a
species, or its place in a system of classification, by
means of an analytical table or key.
{Ultimate}, {Proximate}, {Qualitative}, {Quantitative}, and
{Volumetric analysis}. (Chem.) See under {Ultimate},
{Proximate}, {Qualitative}, etc.
Note: Mathematics embraces three departments, namely: 1.
{Arithmetic}. 2. {Geometry}, including {Trigonometry}
and {Conic Sections}. 3. {Analysis}, in which letters
are used, including {Algebra}, {Analytical Geometry},
and {Calculus}. Each of these divisions is divided into
pure or abstract, which considers magnitude or quantity
abstractly, without relation to matter; and mixed or
applied, which treats of magnitude as subsisting in
material bodies, and is consequently interwoven with
physical considerations.