![Geometry Essentials Syllabus 1617](http://s1.studyres.com/store/data/007289705_1-bb1cf6c56f3620ffbf88f135b226d76c-300x300.png)
Moore Catholic High School Math Department
... x-intercept - The point at which the graph of a relation intercepts the x-axis. The ordered pair for this point has a value of y = 0. y-axis - The vertical line used to establish the coordinates of points in the Cartesian plane; in that plane, the line whose equation is x = 0. y-coordinate - The se ...
... x-intercept - The point at which the graph of a relation intercepts the x-axis. The ordered pair for this point has a value of y = 0. y-axis - The vertical line used to establish the coordinates of points in the Cartesian plane; in that plane, the line whose equation is x = 0. y-coordinate - The se ...
lecture 25
... are equal. (Here len(s1 ) refers to the length of s1 , and so on...) We then talked about Descartes, who invented a cunning technique for turning problems in geometry into problems in algebra: the Cartesian plane. Each point in the plane is labelled with a pair of (real) numbers—the x coordinate, an ...
... are equal. (Here len(s1 ) refers to the length of s1 , and so on...) We then talked about Descartes, who invented a cunning technique for turning problems in geometry into problems in algebra: the Cartesian plane. Each point in the plane is labelled with a pair of (real) numbers—the x coordinate, an ...
Analytic geometry
In classical 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 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 (two dimensions) and Euclidean space (three dimensions). 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.