Geometry and its dimensions

'Geometry' as referred to by a student might be a subject to be studied, for a common man geometry of anything might be the dimensions or the perspectives that he/she refers to.

 











By this post I would like to introduce a student to the basic terms that are most commonly used in geometry.

1.Point:  A point is a location in space. It is represented by a dot. Point are usually named with a upper case letter. For example, we refer to the following as "point A"

 2.Line:

• A line can be defined as a straight set of points that extend in opposite directions
• has no ends in both directions(infinite)
• has no thickness
• it is one-dimensional

 3.Line segment

• A line segment is part of a line
• It has a beginning point and an ending point

 4.Ray

• A ray is a part of a line that has one endpoint (i.e. starting point)
• Extends in one direction endlessly.

5.An open number line:

So what will be a closed number line ?

  6.Angle: Two rays with the same endpoint is an angle. The following is an angle.

  7.Plane:  A plane is a flat surface like a piece of paper. It extends in all directions. We can use arrows to show that it extends in all directions forever. The following is a plane.

8.Parallel lines:  When two lines never meet in space or on a plane no matter how long we extend them, we say that they are parallel lines The following lines are parallel.

9.Intersecting lines: When lines meet in space or on a plane, we say that they are intersecting lines The following are intersecting lines.

10.Vertex: The point where two rays meet is called a vertex.     These are basic terms which helps us in defining shapes and their dimensions and properties.

Branches of Mathematics

Branches of Mathematics.

 I would like to view everything as a discipline rather a mere subject. So as the disciplines evolved over time, the facts which already exists evolved with specificity and it came out with its branches. 

Before the advent of the modern age, the study of mathematics was very limited. But over the period of time, mathematics has developed as a vastly diverse topic, and this is definitely not the limit. 

Developments still continue making large contributions to the field of technology. Hence, it is better termed as the Queen of Science. 

From the early number system to the modern research areas of computational sciences and probability, a number of new areas have evolved with the base of mathematics. 

With the expansion of the scope and usage of the subject, there is a corresponding need to classify different branches of mathematics.

Some of the basic branches of Mathematics are enlisted in this post.

1.Arithmetic:  It is the oldest and the most elementary among other branches of mathematics. It deals with numbers and the basic operations- addition, subtraction, multiplication, and division, between them.

2.Algebra :  It is a kind of arithmetic where we use unknown quantities along with numbers. These unknown quantities are represented by letters of the English alphabet such as X, Y, A, B, etc. or symbols. The use of letters helps us to generalize the formulas and rules that you write and also helps you to find the unknown missing values in the algebraic expressions and equations.
 
 

3.Geometry: It is the most practical branch of mathematics that deals with shapes and sizes of figures and their properties. The basic elements of geometry are points, lines, angles, surfaces, and solids.
 





There are some other branches of mathematics that you would deal with in the higher classes.
 
 
4.Trigonometry: Derived from two Greek terms 'trig-non' (meaning a triangle) and 'me-tron' (meaning a measure), it is the study of relationships between angles and sides of triangles.
 
5.Analysis: It is the branch that deals with the study of the rate of change of different quantities. Calculus forms the base of analysis.

Mathematics is everywhere

Mathematics in our daily life.

As a human being we need three basic necessities to survive : food, water and shelter. A common man can survive with the adequacy of these three. 

The thinking capacity of a man made him different from other animals. And it succeeded with the evolution of disciplines such as science, mathematics, sociology, arts or any other. These disciplines are rather termed as subjects by a student.

Every discipline is related to any other or we can refer to them as interdisciplinary.

The Mathematics discipline has has always wondered me and I am passionate towards it and I would like to view it in a perspective of how it is important to a common man.

Maths is very useful in everyday life. Math can help us do many things that are important in our everyday lives.

We usually recognize every object around us as it's round or square shaped or any other recognition. Isn't that Maths ?

 To calculate how much amount we need to get as balance in a shop or how much profit or loss we have made.. Aren't we using Mathematics?

  Managing money
  
Balancing the check book
  
Shopping for the best price

Preparing food

Figuring out distance, time and cost for travel

Understanding loans for cars, trucks, homes, schooling or other purposes

Understanding sports (being a player and team statistics)

Playing music



Home decorating

Sewing
Gardening and landscaping .......... and so on.