Introduction of coordinate systems geometry:
Geometry is one of the basic and oldest topics in the mathematics. Geometry is used to study the characteristics and properties of the figure. Let every point on a straight line is associated with exactly one real number only. Rene Descartes, a mathematician who is the first man to introduce an algebraic geometry of coordinate systems. A plane is a collection of points in a space of the coordinate systems of geometry.Is this topic Lateral Area of a Rectangular Prism hard for you? Watch out for my coming posts.
About the coordinate systems:
Let us consider a sheet of the paper as the plane and draw two fixed perpendicular straight lines in that plane of the paper which will be intersecting at a point.
We always draw a straight line in horizontal direction and the other line will be a vertical line. These two lines which will meet at a common point and it is named as O and called the origin.
We represents that the horizontal as x–axis and the vertical line as y–axis.
The two lines which divides the plane into four parts namely quadrants. These quadrants are named as I quadrant, II quadrant, III quadrant and IV quadrant in geometry systems.
I have recently faced lot of problem while learning Volume of Cube, But thank to online resources of math which helped me to learn myself easily on net.
Constructing co-ordinates system geometry:
Consider any point P in the plane. This point P lies in a quadrant.
From P, draw a straight line parallel to the y–axis to meet the x–axis at the point L, and draw a straight line parallel to the x–axis to meet the y–axis at the point M.
Let 'a' representing the point L on x–axis and 'b' representing the point M on y–axis.
If P lies on the x– axis, then b = 0.If a = 0, then a> 0 and b > 0. If a < 0 and b > 0, then P lies within the II quadrant.
If P lies within the III quadrant, then a< 0 and b < 0. If a > 0 and b < 0, then P lies within the IV quadrant If P is the point O, then a = 0 and b = 0. The number a is called the x–coordinate of the coordinate system of point P and the number b the y–coordinate of the coordinate systems of geometry.
The plane now is called the rectangular coordinate plane systems or the xy–plane.
Geometry is one of the basic and oldest topics in the mathematics. Geometry is used to study the characteristics and properties of the figure. Let every point on a straight line is associated with exactly one real number only. Rene Descartes, a mathematician who is the first man to introduce an algebraic geometry of coordinate systems. A plane is a collection of points in a space of the coordinate systems of geometry.Is this topic Lateral Area of a Rectangular Prism hard for you? Watch out for my coming posts.
About the coordinate systems:
Let us consider a sheet of the paper as the plane and draw two fixed perpendicular straight lines in that plane of the paper which will be intersecting at a point.
We always draw a straight line in horizontal direction and the other line will be a vertical line. These two lines which will meet at a common point and it is named as O and called the origin.
We represents that the horizontal as x–axis and the vertical line as y–axis.
The two lines which divides the plane into four parts namely quadrants. These quadrants are named as I quadrant, II quadrant, III quadrant and IV quadrant in geometry systems.
I have recently faced lot of problem while learning Volume of Cube, But thank to online resources of math which helped me to learn myself easily on net.
Constructing co-ordinates system geometry:
Consider any point P in the plane. This point P lies in a quadrant.
From P, draw a straight line parallel to the y–axis to meet the x–axis at the point L, and draw a straight line parallel to the x–axis to meet the y–axis at the point M.
Let 'a' representing the point L on x–axis and 'b' representing the point M on y–axis.
If P lies on the x– axis, then b = 0.If a = 0, then a> 0 and b > 0. If a < 0 and b > 0, then P lies within the II quadrant.
If P lies within the III quadrant, then a< 0 and b < 0. If a > 0 and b < 0, then P lies within the IV quadrant If P is the point O, then a = 0 and b = 0. The number a is called the x–coordinate of the coordinate system of point P and the number b the y–coordinate of the coordinate systems of geometry.
The plane now is called the rectangular coordinate plane systems or the xy–plane.
