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Trigonometry definitions



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Webster's 1828 Dictionary

TRIGONOM'ETRY, n. [Gr. a triangle, and to measure.] The measuring of triangles; the science of determining the sides and angles of triangles, by means of certain parts which are given. When this science is applied to the solution of plane triangles, it is called plane trigonometry; when its application is to spherical triangles, it is called spherical trigonometry.

WordNet (r) 3.0 (2005)

n
1: the mathematics of triangles and trigonometric functions [syn: trigonometry, trig]

Merriam Webster's

noun Etymology: New Latin trigonometria, from Greek trig?non + -metria -metry Date: 1614 the study of the properties of triangles and trigonometric functions and of their applications

Britannica Concise

Mathematical discipline dealing with the relationships between the sides and angles of triangles. Literally, it means triangle measurement, though its applications extend far beyond geometry. It emerged as a rigorous discipline in the 15th cent., when the demand for accurate surveying techniques and navigational methods led to its use for the "solution" of right triangles, or the calculation of the lengths of two sides of a right triangle given one of its acute angles and the length of one side. The solution can be found by using ratios in the form of the trigonometric functions.

Oxford Reference Dictionary

n. the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles. Derivatives: trigonometric adj. trigonometrical adj. Etymology: mod.L trigonometria (as TRIGON, -METRY)

Webster's 1913 Dictionary

Trigonometry Trig`o*nom"e*try, n.; pl. -tries. [Gr. ? a triangle + -metry: cf. F. trigonom['e]trie. See Trigon.] 1. That branch of mathematics which treats of the relations of the sides and angles of triangles, which the methods of deducing from certain given parts other required parts, and also of the general relations which exist between the trigonometrical functions of arcs or angles. 2. A treatise in this science. Analytical trigonometry, that branch of trigonometry which treats of the relations and properties of the trigonometrical functions. Plane trigonometry, and Spherical trigonometry, those branches of trigonometry in which its principles are applied to plane triangles and spherical triangles respectively.

Webster's 1913 Dictionary

Mathematics Math`e*mat"ics, n. [F. math['e]matiques, pl., L. mathematica, sing., Gr. ? (sc. ?) science. See Mathematic, and -ics.] That science, or class of sciences, which treats of the exact relations existing between quantities or magnitudes, and of the methods by which, in accordance with these relations, quantities sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations. 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.

Collin's Cobuild Dictionary

Trigonometry is the branch of mathematics that is concerned with calculating the angles of triangles or the lengths of their sides.

Moby Thesaurus

Boolean algebra, Euclidean geometry, Fourier analysis, Lagrangian function, algebra, algebraic geometry, analysis, analytic geometry, arithmetic, associative algebra, binary arithmetic, calculus, circle geometry, descriptive geometry, differential calculus, division algebra, equivalent algebras, game theory, geodesy, geometry, goniometry, graphic algebra, group theory, higher algebra, higher arithmetic, hyperbolic geometry, infinitesimal calculus, integral calculus, intuitional geometry, invariant subalgebra, inverse geometry, line geometry, linear algebra, mathematical physics, matrix algebra, metageometry, modular arithmetic, n-tuple linear algebra, natural geometry, nilpotent algebra, number theory, plane trigonometry, political arithmetic, projective geometry, proper subalgebra, quaternian algebra, reducible algebra, set theory, simple algebra, solid geometry, speculative geometry, spherical trigonometry, statistics, subalgebra, systems analysis, topology, trig, universal algebra, universal geometry, vector algebra, zero algebra





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