20 terms

Conic Sections

a plane figure formed by the intersection of a double right cone and a plane. examples include circles, ellipses, hyperbolas, and parabolas.

Circle

the set of points in a plane that are a fixed distance from a given point called the center of the circle.

Tangent

a line that is in the same plane as a circlce and intersects the circle at exactly one point.

Ellipse

the set of all points P in a plane such that the sum of the distances from P to two fixed points F and G, called the foci is constant.

Major Axis

the longer axisof an ellipse. the foci of the ellipse are located on the major axis, and its endpoints are the vertices of the ellipse.

Vertices of the Ellipse

the enpoints of the major axis of the ellipse.

Minor Axis

the shorter of axis of an ellipse. its endpoints are the co-vertices of the ellipse.

Co-Vertices of the Ellipse

the endpoints on the minor axis.

Hyperbola

the set of all points P in a plane such that the difference of the distances from P to two fixed points F and G called the foci, is a constant d=[PF - FG]

Foci ( of a hyperbola)

one of two fixed points F and G that are used to define a hyperbola. for every point P on the hyperbola PF - PG is constant.

Branches

one of the two symmetrical parts of the hyperbola.

Transverse Axis

the axis of symmetry of a hyperbola that contains the vertices and foci.

Vertices of a hyperbola

the endpoints of the transverse axis of the hyperbola

Conjugate Axis

the axis of symmetry of a hyperbola that seperates the two branches of the hyperbola.

Co-vertices of a hyperbola

the endpoints of the conjugate axis.

Focus (of a parabola)

a fixed point F used with a directrix to define a parabola.

Directrix

the fixed line used to define a parabola. every point on the parabola is equidistant from the directrix and a fixed point called the focus.

Nonlinear system of equations

a system in which at least one of the equations is not linear.

Foci of an Ellipsis

one of two fixed points F and G that are used to define a ellipse. for every point P on the ellipse. PF + PG is constant.

Vertex of a parabola

the highest or lowest point on the parabola.