Mathematics - Renton School District
... Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation. G-GPE.2 Derive the equation of a parabola given a focus and directrix. Use coordinates to prove simple geometric theorems alge ...
... Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation. G-GPE.2 Derive the equation of a parabola given a focus and directrix. Use coordinates to prove simple geometric theorems alge ...
A HISTORICAL INTRODUCTION TO ELEMENTARY GEOMETRY
... theory of Euclidean geometry to describe and investigate the properties of geometrical figures such as lines, polygons, curves, surfaces and polyhedrons. ...
... theory of Euclidean geometry to describe and investigate the properties of geometrical figures such as lines, polygons, curves, surfaces and polyhedrons. ...
Homework Help Seminars
... Graphing Vertex Form Part 2: How do you find the vertex form equation from the graph of a parabola? When given a graph of a parabola use the coordinates from the vertex and another point to create the equation. ...
... Graphing Vertex Form Part 2: How do you find the vertex form equation from the graph of a parabola? When given a graph of a parabola use the coordinates from the vertex and another point to create the equation. ...
TAG 2 course Syllabus 2015
... prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, 3 ) lies on the circle centered at the origin and containing the point (0, 2). Prove the slope criteria for parallel and perpendicular lines and use them to solve ...
... prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, 3 ) lies on the circle centered at the origin and containing the point (0, 2). Prove the slope criteria for parallel and perpendicular lines and use them to solve ...
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.