In this page analytical geometry you can find many sub topics in this main topic. Rene Descartes (1596-2650) whose "La Geometric" was published in 1637 as an appendix to his "Discours de la methods" is regarded as the inventor as analytical geo-metry and modern analytical geometry is called Cartesian Geometry after him.

However the fundamental principles and methods of this topic were already discovered by Pierre de Fermat earlier.

Descartes procedure in geometry was to begin with a geometry problem to convert it into an algebraic equation simplify it and then solve the equation geometric.

However, even the usual formula for distance between two points, slope and angle between two straight lines are not to be found in this work of Decartes.

These are due to later mathematicians like Clairaut, Monge and Larcoin. Newton used several types of co-ordinates including polar and bipolar.L'Hospital had written a famous text book.

- Plotting the given points in the coordinate plane.
- Identify the points in the coordinate plane
- Distance between two points
- How to check if given four points form a square
- How to check if the given four points form a rectangle
- How to check if given four points form a rhombus
- How to check if the given four points form a parallelogram
- How to check if the given four points form a equilateral triangle
- How to check if the given four points form a right triangle
- How to check if the given points are collinear
- Area of triangle when vertices are given
- How to find area of quadrilateral with given vertices
- Reflection in the coordinate plane
- Distance and area in the coordinate plane
- Exploring dilations on the coordinate plane
- Area and perimeter in the coordinate plane
- Pythagorean theorem in the coordinate plane
- Graph a linear inequality in the coordinate plane

- Equation of the line.
- Equation of a trend line
- Equation of the line parallel to x-axis
- Equation of the line parallel to y-axis
- Different forms equation of straight line
- Equation of the line with slope and y-intercept
- Equation of the line with two points
- Equation of the line with x and y-intercept
- Equation of the line with slope and point
- Slope of the line
- Slope of the line with angle inclination
- Slope of the line from slope intercept form
- Slope of the line with two points
- Slope of the line from intercept form
- Slope of the line parallel to x-axis
- Slope of the line parallel to y-axis
- Parallel and perpendicular lines
- Relating unit rate to slope
- How to graph the equation of the line
- How to find equation of the line from graph
- Slope and y-intercept from graph

- Section formula
- Midpoint of the line segment
- Centroid of the triangle
- How to find the trisection of the points of the line
- How to find the missing coordinate of the parallelogram
- How to find the point in which divides the line
- How to find the points that divide the line segment into fourths
- How to find the length of a median of a triangle with vertices
- How to find the altitude of a triangle with coordinates

- Locus
- Perpendicular distance
- Angle between two straight lines
- Equation of a circle
- With center and radius
- With endpoints of a diameter
- Equation of a circle passing though three points
- Length of the tangent to a circle
- Equation of the tangent to a circle
- Family of circles
- Orthogonal circles
- Parabola
- Ellipse

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