Analytic Geometry - Conic Sections
Circle 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) Circle through three points
The equation of the circle through three points, example
Circle and Line Line circle intersection
Circle and line examples Equation of a tangent at a point of a circle with the center at the origin Equation of a tangent at a point of a translated circle
Equation of a tangent at a point of a circle examples Condition for a line to be the tangent to the circle with the center at the origin O(0, 0)
Condition for a line to be the tangent to the translated circle Tangents to a circle from a point outside the circle - use of the tangency condition     Angle between two circles Definition and construction

Constructions of an ellipse  The parametric equations of the ellipse   Equation of the tangent at a point on the ellipse      Equation of the hyperbola

Examining equation of the hyperbola   Equation of the hyperbola in vertex form Examples of hyperbola Translation of equilateral or rectangular hyperbola with the coordinate axes as its asymptote      Properties of 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   Equation of a translated parabola - the standard form Parametric equations of the parabola  Common points of a line and a parabola  The equation of the tangent and the normal at the point on the parabola Properties of 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  Conics - a family of similarly shaped curves 