# Analytical geometry

Analytical geometry
Geometry Ge*om"e*try, n.; pl. {Geometries}[F. g['e]om['e]trie, L. geometria, fr. Gr. ?, fr. ? to measure land; ge`a, gh^, the earth + ? to measure. So called because one of its earliest and most important applications was to the measurement of the earth's surface. See {Geometer}.] 1. That branch of mathematics which investigates the relations, properties, and measurement of solids, surfaces, lines, and angles; the science which treats of the properties and relations of magnitudes; the science of the relations of space. [1913 Webster]

2. A treatise on this science. [1913 Webster]

{Analytical geometry}, or {Co["o]rdinate geometry}, that branch of mathematical analysis which has for its object the analytical investigation of the relations and properties of geometrical magnitudes.

{Descriptive geometry}, that part of geometry which treats of the graphic solution of all problems involving three dimensions.

{Elementary geometry}, that part of geometry which treats of the simple properties of straight lines, circles, plane surface, solids bounded by plane surfaces, the sphere, the cylinder, and the right cone.

{Higher geometry}, that pert of geometry which treats of those properties of straight lines, circles, etc., which are less simple in their relations, and of curves and surfaces of the second and higher degrees. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

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• Analytical geometry — analytical analytical adj. 1. of or pertaining to analysis (definition 2). [WordNet 1.5] 2. (Logic) of a proposition; necessarily true independent of fact or experience, such as all spinsters are unmarried . Opposite of {synthetic}. Also See: {a… …   The Collaborative International Dictionary of English

• Analytical Geometry — 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… …   The Collaborative International Dictionary of English

• analytical geometry — noun the use of algebra to study geometric properties; operates on symbols defined in a coordinate system • Syn: ↑analytic geometry, ↑coordinate geometry • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑ …   Useful english dictionary

• analytical geometry — /ænəˌlɪtɪkəl dʒiˈɒmətri/ (say anuh.litikuhl jee omuhtree) noun geometry treated by algebra, the position of any point being determined by numbers which are its coordinates with respect to a system of coordinates; coordinate geometry …

• analytical geometry — noun geometry making use of coordinates …   English new terms dictionary

• analytical — adj. 1. of or pertaining to analysis (definition 2). [WordNet 1.5] 2. (Logic) of a proposition; necessarily true independent of fact or experience, such as all spinsters are unmarried . Opposite of {synthetic}. Also See: {a priori}, {deductive,… …   The Collaborative International Dictionary of English

• Analytical table — analytical analytical adj. 1. of or pertaining to analysis (definition 2). [WordNet 1.5] 2. (Logic) of a proposition; necessarily true independent of fact or experience, such as all spinsters are unmarried . Opposite of {synthetic}. Also See: {a… …   The Collaborative International Dictionary of English

• Geometry — Ge*om e*try, n.; pl. {Geometries}[F. g[ e]om[ e]trie, L. geometria, fr. Gr. ?, fr. ? to measure land; ge a, gh^, the earth + ? to measure. So called because one of its earliest and most important applications was to the measurement of the earth s …   The Collaborative International Dictionary of English

• analytical — adj. 1 using analytic methods. 2 Philol. using separate words instead of inflections (cf. SYNTHETIC). Phrases and idioms: analytical geometry geometry using coordinates. Derivatives: analytically adv …   Useful english dictionary

• Geometry — 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… …   The Collaborative International Dictionary of English