Explanations about the scope of the contents covered in the course, as well as by the topics of each of its chapters.
Basic Elements of Analytical Geometry
Introduction
Cartesian System of One Dimension
Cartesian System of Two Dimensions
Quadrants of the Cartesian System of Two Dimensions
Straight Line Equations
General and Slope-Intercept Forms
General Equation
Slope-Intercept Equation
Slope Parameter and Linear Parameter of Slope-Intercept Equation
Slope-Intercept Equations from Two Points of the Straight Line
Slope-Intercept Equation from Angular and Linear Coefficient
Coordinates of the Points from Slope-Intercept Equation
Straight Line Equations
Intercept-Intercept and Normal and Normalized Forms
Intercept-Intercept Equation of Straight Line
Obtaining the General and Slope-Intercept Equation from the Intercept-Intercept Equation
Normal Equation of Straight Line
Normal and Normalized Equations from General Equation of the Straight Line
General Equation from Normal Equation of Straight Line
Straight Line Equations
Parametric Equation and Trigonometric Ratio Equation
Parametric Equation
Verification of the Parametric Equations
Trigonometric Ratio Equation
Trigonometric Ratio Equation from General Equation of Straight Line
Important Relationships between Straight Lines (Part 1)
Equation of Straight Lines that pass through a Point
Straights Lines that Pass by Two Points
Equation of the Line that Pass through a Point and forms a Determined Angle with the x-axis
Division of a Line Segment into a Given Ratio
Distance between Two Points
Point of Intersection of Two Straight Lines
Parallel Straight Lines
Congruent Straight Lines
Collinear Points
Important Relationships between Straight Lines (Part 2)
Angle between Two Straight Lines
Condition for Two Straight Lines to be Parallels
Condition for Two Concurrent Straight Lines being Perpendicular to Each Other
Distance from a Point to a Line
Bisector Line of the Angle formed by Two Concurrent Straight Lines
Bisectors Lines of Angles of a Triangle
Circumference and Conic Curves
General Equation of Circumference
Intersection of Straight Lines and Circumferences
Conic Curves
Ellipse Equation
Hyperbola Equation
Parabola Equation