Note On The Relation Between The Rectangular Coordinate System And Spherical Coordinate System

The Cartesian coordinate system guides the determination of the exact position of a point in a graph and from a mathematical perspective, this particular system is very important as it provides a solution to the equations by identifying the position of the point in the series of graphs. The equation that is mostly used in the Cartesian coordinate system depends on two different variables X-axis and the Y-axis. The horizontal axis refers to X-axis and the vertical axis indicates the Y-axis. Each equation of this system depends on these two variables with this system the growth of population along with the period is explained through this coordinate system.                    

Cartesian coordinate system and its features 

An eminent French mathematician Rene Descartes proposed the basic theory of the Cartesian coordinate system during the 1700s. This system c consists of a close relation between algebra and the geometry of mathematics and this is the revolutionary system to formulate different analytical geometry. Euclidean geometry is influenced by the concerned system as it assists in the graphical representation of graphical lines, and curves along with geometric figures in terms of the n-dimensional plane. 

• The two different types of perpendicular lines include X-axis as well as Y-axis in the graphical paper. 
• The two axes of this system divide graph paper into four different sections and each part is called a quadrant. 
• In the graphical paper, in case, the X-axis moves towards the right sight then the value of the X-axis is decorated and it can be negative if the point situates under the X-axis. On the other hand, in the case of the Y-axis moving downwards then the value of this axis is decreased. 

Cartesian coordinate system examples

The phenomenal system that is mainly applied for label points in reference to a plane is regarded as a cartesian system. The concerned system is mainly derived from the number line to make out the actual position of a point.

As an example of the Cartesian coordinate system, it can be said that if a point is positioned in the II section then the value of the point will be negative while in I section the entire point values will be positive as it is positioned on the X-axis. The quadrants of this graphical paper are rounded in the anticlockwise motion that starts with OX.

Spherical coordinate system example

In the context of one-dimensional space, the Cartesian coordinate system mainly consists of lines that originated from 0. The unit of length, as well as the orientation process of the line, is determined by the value of 0 and if it moves towards the right side then it is valued positively. In other cases, the negative value can be calculated if the Y-axis moves downwards towards the horizontal axis. A number line is another important component of the Cartesian coordinate system that determines the values of the point. Each line in the graphical paper has its unique value as per the location of the point and every point that is positioned over the number line is interpreted as a value or number.                                             

Conclusion 

The cartesian coordinate system commonly looks like graph paper with two axes that cross in a mode of perpendicular to each other. The meeting point of the two axes is regarded as 0 and each axis can be extended forever with no limitation. Both axes of this coordinate system progress with increasing value of the number. The points of this system on the graph paper have a close relationship with both axes and the plotting points is the most important element of this system that signifies the labeling process to easily calculate the distance between yeo factors or the proportional ratio of the two variables.