The concept of Analytical Geometry was given by Mr. Percey F. Smith and Mr. Arthur Sullivan Gale. Mr. Percey F. Smith was a professor of mathematics in Sheffield scientific school, Yale University and Arthur Sullivan Gale was an assistant professor of mathematics in the University of Rochester. Now, we will see introduction to analytical geometry.
analytic geometry and Algebra both are similar, they are used to design the geometric objects in the mathematics, and these geometric objects are points, straight line, and Circle etc. In the plane of geometry the points are represented as Ordered Pair and in case of Straight Line it is represented as Set of points which satisfy the linear equation and the analytic geometry which satisfies linear equation are known as linear algebra. There are some different names for analytic geometry like Cartesian geometry is also known as analytic geometry. This plane analytic geometry is based on the coordinate system and the principal of algebra and analysis. Now, we will see how to find the distance and angle in analytic geometry. Suppose we have coordinates m1, m2 and n1, n2 for the plane of geometry:
Then we will see how to find the distance of plane of analytic geometry by using above coordinates:
d = √ (m2 - m1)2 + (n2 - n1)2;
Where ‘d’ is distance of analytic geometry.
We use pythagoras theorem for finding the distance of analytic geometry;
Now we will find the angle of plane of geometry:
The angle of geometry is:
∅ = arctan (p);
Where ‘p’ is the Slope of line;
Using this formula we can find the distance of plane of analytic geometric. This is all about analytical geometry introduction.
A line can be plotted on a graph, and when we plot any line of the graph, it is inclined at certain angle in a coordinate plane. This plotting of the line on the Cartesian plane and the angle formed by the line on the axis is called inclination of the line and is represented by the angle Ө. Here, we define Inclination of a Line. By the term Inclination of a...Read More
Most of us would not be familiar with the term analytical Geometry in the context of the Math. So in this article we will try to define Analytical Geometry in a very precise way to have a good understanding. The analytical geometry is also sometimes called as analytic geometry.
Before we define analytical geometry we should mention that the analytical geo...Read More
We all study Geometry in the Math and find it quite interesting but as we go further deep in study of geometry we find another type of geometry that is the Analytical Geometry. Before understanding analytical geometry first becomes familiar with history of analytical geometry.
The analytical geometry history starts from the Period when a great mathematici...Read More
Inclination is an angle that a path of a plane makes with the axis. The minimum positive angle drawn form the positive x – axis to the line is known as Inclination of a Line.
The angle which lies between a line and x...Read More
The Angles between two lines is defined as shown below:
If the lines are parallel then the angles between both lines is zero.
Suppose we have angle ‘∅’in between two lines then it always satisfy the inequalities ...Read More