Analytic Geometry
in a plane
Remark: The order of the topics is not random. Most of them appeal on the properties and formulas stated in a preceding topic
- Lines
- Circle
- Parabola
- Ellipse
- Hyperbola
- Homogeneous coordinates and points at infinity
- Transformation of coordinates (Projective; Affine; Metric)
- Imaginary points and lines
- Cross ratios and harmonic conjugate elements
- General equation of a conic section - properties
- Degenerated conic sections and classification
- Reduction of the general equation of a conic section and classification
- Tangent lines
- Asymptotes of a conic section
- Systems of conic sections
- Pole and polar line
- Center-point of a conic section
- Center-line of a conic section
- Axes of an affine conic section
- Foci of a conic section
- Locus of a variable point
You can find solved problems about Analytic Geometry here