Coordinate geometry in scientific experiments
Coordinate geometry is mostly used by the scientists to analyze the results of experimental data.
In scientific experiments, data collected for the independent and dependent variables is usually plotted on a graph.
This graph uses Cartesian coordinates.
On the x–axis, independent variable is plotted whereas on y–axis, dependent variable is plotted.
By examining and analyzing the patterns on a graph, scientists can easily draw conclusions about the relationship between two variables.
In 1637, Rene Descartes (1596 – 1650), a French mathematician introduced a system called the Cartesian coordinate system
by providing the first systematic link between Euclidean geometry and algebra.
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane called Cartesian plane.
The Cartesian plane is formed by using two directed real number lines intersecting at right angles, as shown in below figure.
Each directed line is called a coordinate axis.
The horizontal directed line is called the x–axis and the vertical directed line
is called the y–axis. The point of intersection of these two axes is called the origin
and is denoted by the letter ‘O’.
Each point in the Cartesian plane corresponds to an ordered pair (x, y) of real numbers x and y, called coordinates of the point.
The x–coordinate, also known as abscissa, represents the directed distance from the y–axis
to the point and the y–coordinate, also known as ordinate, represents the directed distance
from the x–axis to the point, as shown in above figure.