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Match the following fields with their application of analytic geometry:
Physics and engineering = Application of coordinate system for geometric study Aviation, rocketry, space science, and spaceflight = Utilization of Cartesian coordinate system for manipulation of equations Algebraic, differential, discrete, and computational geometry = Foundation of most modern fields of geometry School books explanation = Concerned with defining and representing geometric shapes in a numerical way
Match the following geometric concepts with their application in analytic geometry:
Euclidean plane (two dimensions) = Studied using the Cartesian coordinate system Euclidean space = Also studied using the Cartesian coordinate system Planes, straight lines, and circles = Equations manipulated using the Cartesian coordinate system Numerical information extraction = Derived from shapes' numerical definitions and representations
Match the following with their use in analytic geometry:
Menaechmus' method = Strong resemblance to the use of coordinates Cantor-Dedekind axiom = Employed to yield results about the linear continuum of geometry Synthetic geometry = Contrasts with the use of coordinate system in analytic geometry Coordinate system = Utilized for the study of geometry
Match the following with their application in modern fields of geometry:
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Match the following with their application in representing geometric shapes numerically:
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Analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with ______.
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Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and circles, often in two and sometimes ______ dimensions.
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Analytic geometry is used in physics and engineering, and also in aviation, rocketry, space science, and ______.
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Geometrically, one studies the Euclidean plane (two dimensions) and Euclidean ______.
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The Greek mathematician Menaechmus solved problems and proved theorems by using a method that had a strong resemblance to the use of ______ and it has sometimes been maintained that he had introduced analytic geometry.
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