College algebra contents E
 Conic Sections
General equation of a circle with the center S(p, q) - translated circle
The equation of the circle, example
Equation of the circle with the center at the origin O(0, 0)

The equation of the circle through three points, example

Circle and line, examples

O(0, 0)

Mutual position of two circles

Angle between two circles

Definition and construction

Constructions of an ellipse
Equation of the ellipse, standard equation of the ellipse

The parametric equations of the ellipse

Equation of the tangent at a point on the ellipse

Equation of the hyperbola

Examples of hyperbola

Translation of equilateral or rectangular hyperbola with the coordinate axes as its asymptote

Polar and pole of the hyperbola
Construction of the tangent at the point on the hyperbola
Construction of tangents from a point outside the hyperbola

The area of a triangle which the tangent at a point on the hyperbola forms with asymptotes
The tangency point bisects the line segment of the tangent between asymptotes
The parallels to the asymptotes through the tangency point intersect asymptotes
The equation of the equilateral or rectangular hyperbola with the coordinate axes as its asymptotes
Hyperbola and line examples

of the parabola

Transformation of the equation of a parabola

Parabola examples

Common points of a line and a parabola

Construction of the tangents from a point exterior to the parabola
Parabola and line, examples
Conics, a Family of Similarly Shaped Curves - Properties of Conics
Conics, a Family of Similarly Shaped Curves – Properties of Conics

College algebra contents