What does Analytic geometry mean?
Definitions for Analytic geometry
an·a·lyt·ic ge·om·e·t·ry
This dictionary definitions page includes all the possible meanings, example usage and translations of the word Analytic geometry.
Princeton's WordNet
analytic geometry, analytical geometry, coordinate geometrynoun
the use of algebra to study geometric properties; operates on symbols defined in a coordinate system
Wiktionary
analytic geometrynoun
a branch of mathematics that investigates properties of figures through the coordinates of their points.
Wikipedia
Analytic geometry
In mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic geometry. Analytic geometry is used in physics and engineering, and also in aviation, rocketry, space science, and spaceflight. It is the foundation of most modern fields of geometry, including algebraic, differential, discrete and computational geometry. Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and circles, often in two and sometimes three dimensions. Geometrically, one studies the Euclidean plane (two dimensions) and Euclidean space. As taught in school books, analytic geometry can be explained more simply: it is concerned with defining and representing geometric shapes in a numerical way and extracting numerical information from shapes' numerical definitions and representations. That the algebra of the real numbers can be employed to yield results about the linear continuum of geometry relies on the Cantor–Dedekind axiom.
ChatGPT
analytic geometry
Analytic geometry, also known as coordinate geometry or Cartesian geometry, is a branch of mathematics that uses algebraic equations to describe the size, position, and shape of geometric figures on a coordinate system. This field of study establishes a direct connection between geometry and algebra by using numbers and variables to represent geometric concepts. It allows for the solution of geometric problems through numerical and algebraic calculations, and for the representation of geometric figures in a real number coordinate system. The foundational work in this discipline was laid down by French mathematician Rene Descartes and his contemporaries in the 17th century.
Wikidata
Analytic geometry
Analytic geometry, or analytical geometry, has two different meanings in mathematics. The modern and advanced meaning refers to the geometry of analytic varieties. This article focuses on the classical and elementary meaning. In classical mathematics, analytic geometry, also known as coordinate geometry, or Cartesian geometry, is the study of geometry using a coordinate system and the principles of algebra and analysis. This contrasts with the synthetic approach of Euclidean geometry, which treats certain geometric notions as primitive, and uses deductive reasoning based on axioms and theorems to derive truth. Analytic geometry is widely used in physics and engineering, and is the foundation of most modern fields of geometry, including algebraic, differential, discrete, and computational geometry. Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and squares, often in two and sometimes in three dimensions. Geometrically, one studies the Euclidean plane and Euclidean space. As taught in school books, analytic geometry can be explained more simply: it is concerned with defining and representing geometrical shapes in a numerical way and extracting numerical information from shapes' numerical definitions and representations. The numerical output, however, might also be a vector or a shape. That the algebra of the real numbers can be employed to yield results about the linear continuum of geometry relies on the Cantor–Dedekind axiom.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of Analytic geometry in Chaldean Numerology is: 5
Pythagorean Numerology
The numerical value of Analytic geometry in Pythagorean Numerology is: 4
Translations for Analytic geometry
From our Multilingual Translation Dictionary
Get even more translations for Analytic geometry »
Translation
Find a translation for the Analytic geometry definition in other languages:
Select another language:
- - Select -
- 简体中文 (Chinese - Simplified)
- 繁體中文 (Chinese - Traditional)
- Español (Spanish)
- Esperanto (Esperanto)
- 日本語 (Japanese)
- Português (Portuguese)
- Deutsch (German)
- العربية (Arabic)
- Français (French)
- Русский (Russian)
- ಕನ್ನಡ (Kannada)
- 한국어 (Korean)
- עברית (Hebrew)
- Gaeilge (Irish)
- Українська (Ukrainian)
- اردو (Urdu)
- Magyar (Hungarian)
- मानक हिन्दी (Hindi)
- Indonesia (Indonesian)
- Italiano (Italian)
- தமிழ் (Tamil)
- Türkçe (Turkish)
- తెలుగు (Telugu)
- ภาษาไทย (Thai)
- Tiếng Việt (Vietnamese)
- Čeština (Czech)
- Polski (Polish)
- Bahasa Indonesia (Indonesian)
- Românește (Romanian)
- Nederlands (Dutch)
- Ελληνικά (Greek)
- Latinum (Latin)
- Svenska (Swedish)
- Dansk (Danish)
- Suomi (Finnish)
- فارسی (Persian)
- ייִדיש (Yiddish)
- հայերեն (Armenian)
- Norsk (Norwegian)
- English (English)
Word of the Day
Would you like us to send you a FREE new word definition delivered to your inbox daily?
Citation
Use the citation below to add this definition to your bibliography:
Style:MLAChicagoAPA
"Analytic geometry." Definitions.net. STANDS4 LLC, 2024. Web. 24 Jun 2024. <https://www.definitions.net/definition/Analytic+geometry>.
Discuss these Analytic geometry definitions with the community:
Report Comment
We're doing our best to make sure our content is useful, accurate and safe.
If by any chance you spot an inappropriate comment while navigating through our website please use this form to let us know, and we'll take care of it shortly.
Attachment
You need to be logged in to favorite.
Log In