Meaning of Analytical Geometry (What it is, Concept and Definition)

What is Analytical Geometry:

Analytical geometry consists of the study of the characteristics, measurements and properties of geometric figures using algebraic expressions of formulas and numbers using set of axes and coordinates.

Analytical geometry as a branch of Mathematics combines geometry together with algebra in a coordinate plane or also called Cartesian plane.

Analytical geometry was created by the French mathematician and philosopher René Descartes (1596-1650) and the French mathematician and scientist Pierre Fermat (1601-1665) at the beginning of the 17th century, which allows geometric figures to be represented using functions (f), formulas or expressions. math.

The idea that a point can be corresponded to a pair of numbers on a coordinate plane led the analytical geometry of Descartes and Fermat to express all the points of a figure in this coordinate system to analyze their characteristics, measurements and properties.

Analytical geometry can, for example, calculate the midpoint of the distance between a coordinate of points (x,y) with x: 4 and y: 6 expressed as (4,6). In the coordinate of points we can draw a line, therefore to find the midpoint we only have to divide the two points as follows: (4 + 6) /2 = 5. The midpoint of the coordinate (4,6) it would be 5.

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