Analytical Geometry
Algebraic Lines of the First Order in the Plane and in Space.
Line on a Plane, Various Equations.
The plane in space, various equations, the distance from a point to a plane.
Mutual arrangement of planes, angle between planes.
Line in space, all possible equations.
The distance between two intersecting lines.
Division of a segment in a given ratio (vector and coordinate methods).
Algebraic Curves of the Second Order in the Plane and in Space.
General equation of a curve of the second order. Canonical equation of a curve of the second order.
The equation of an ellipse, hyperbola, and parabola in the polar coordinate system.
Reducing the quadratic form to canonical form.
Ellipse, hyperbola, parabola. Director property of ellipse and hyperbola.