Showing posts with label Geometry. Show all posts
Showing posts with label Geometry. Show all posts

Friday, March 15, 2013

Study About Study Geometry


Introduction to study about study geometry:

Let us study about geometry,

Geometry can be defined as the system of concepts, in which a few ideas were initialized to derive the big ones. These kinds of systems are said to be deductive systems. It tells you the deduction concepts and consequence logic's, which can be applied throughout your life time. In this article, you can learn about the basic terms of geometry. I like to share this Surface Area Cube with you all through my article.

This definition is used in study of geometry.


Study about Basics of Geometry:


Some basics are there to study geometry,

Point:

A point can be defined as the basic object of geometry.

Line:

A line can be defined as the connection of many points. The line having only one dimension, i.e. length. It doesn't have any other dimensions. The two end points name can be used as the line name. Otherwise, it can be named by a single lower case alphabet.

Collinear points:

Collinear points are the points, which lie on the same line. If the point doesn’t lie on the line, then those points are said to be non collinear points.

Plane:

In study of geometry, a plane can be defined as the infinite set of points combined to form a flat surface; it can be extended infinitely in any directions. A plane having infinite length and width, but no height. It’s normally a four side geometric figure. It can be represented by a single upper case letter.

Some basics are there to study geometry,

Point:

A point can be defined as the basic object of geometry. It can be represented by a capital letter or a dot. A point have no dimensions, it just denote a position.

Line:

A line can be defined as the connection of many points. The line having only one dimension, i.e., length. It doesn't have no other dimensions. The two end points name can be used as the line name. Otherwise, it can be named by a single lower case alphabet.

Collinear points:

Collinear points are the points, which lie on the same line. If the points doesn't lie on the line, then those points are said to be non collinear points.

Plane:

In study of geometry,  a plane can be defined as the infinite set of points combined to form a flat surface, it can be extended infinitely in any directions. A plane having infinite length and width, but no height. Its normally a four sided geometric figure. It can be represented by a single upper case letter.

Understanding solve your math problem is always challenging for me but thanks to all math help websites to help me out.

Study about Other Important Geometry Terms


Some geometry terms are used in study of geometry,

Midpoint:

A midpoint can be defined as a point, which separates a line segment equally from both the end points.

Ray:

A ray can be defined as a line having one fixed end point and an infinite extension on the other end. It is denoted by two upper case letters with an arrow mark on top.

Angles:

An Angle can be formed by two rays having common end point. These rays are said to be the sides of an angle. An Angle is measured by a unit called as degrees. An Angle varies from 0° to 180°.

Right angle:

If an angle is 90°, then the angle is said to be right angle.

Obtuse angle:

If an angle is more than 90° but less than 180°, then the angle is said to be an obtuse angle.

Straight angle:

If an angle is 180°, then the angle is said to be a straight angle.

Monday, July 12, 2010

Postulates and Theorems




Let us study about postulates and theorems,

A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven. Listed below are six postulates and the theorems that can be proven from these postulates.

* Postulate 1: A line contains at least two points.

* Postulate 2: A plane contains at least three noncollinear points.

* Postulate 3: Through any two points, there is exactly one line.

* Postulate 4: Through any three noncollinear points, there is exactly one plane.

* Postulate 5: If two points lie in a plane, then the line joining them lies in that plane.

* Postulate 6: If two planes intersect, then their intersection is a line.

* Theorem 1: If two lines intersect, then they intersect in exactly one point.

* Theorem 2: If a point lies outside a line, then exactly one plane contains both the line and the point.

* Theorem 3: If two lines intersect, then exactly one plane contains both lines.

I hope the above explanation was useful