Monday, July 26, 2010

Introduction to Ellipse



Let us study Ellipse formula,
An ellipse is the locus of a point which moves so that its distance from a fixed point is in a constant ratio, less than one, to its distance from a fixed line.
The fixed point is called the focus of the ellipse. The fixed line is called the directrix of the ellipse. The constant ratio is called the eccentricity of the ellipse and is denoted by e.
Equation of an Ellipse
Let S(h,k) and ax+by+c=0 be the focus and directrix of an elipse respectively. Let e be the eccentricity of the ellipse.
Let P(x,y) be a general point on the ellipse.

I hope the above explanation was useful, now let us study maths symbols

Friday, July 23, 2010

What is Graph Theory


Let us study What is Graph Theory,

Graph Theory:

In learn online representations, the graph theory is used. The selected area shows the isomerism’s common area between graphs and other forms. In spectral graph theory, the graphs can be denoted by algebraic structures.
Order Theory:
In learn online representations, the order theory is also used. From the experiments, each graph is shaped by the intersection of the graphs in an ordered set called as containment or inclusion relation. The containment instructions for a class of normal objects are Boolean pattern of dimensional order n.
I hope the above explanation was useful.

Thursday, July 22, 2010

Explain Solution set



Let us study about Solution set,

The set of ordered pairs (x,y), which satisfy the given inequation, is called the solution set of the inequations.
Graphical representation of linear inequations on the real number line

A real number line can be used to represent the solution set of an inequation (Linear).
The convention is that O (a hollow circle) marks the end of a range with a strict inequality (i.e. <>) and (a darkened circle) marks the end of a range involving equality as well as inequality.

Examples:




I hope the above explanation was useful.

Tuesday, July 20, 2010

What do you call a six sided shape


What do you call a 6 sided shape ?

Hexagon is one of the polygon type. In polygon different shapes contains different sides. Each of the polygon shape is named as different based on the shape and size. One of the six sided shape is the hexagon. Hence, the polygon contains the 6 sided and 6 vertices. Schlafli symbol present in the regular hexagon. The interior angle of any degree is 720 degree. Let we see about many information about hexagon.

Properties of Six Sided Shape Hexagon:

From the above definition we can define many properties.

Property 1: Amount of triangles used in hexagon

Property 2: Amount of diagonal used in the hexagon

Property 3: Total number of the internal angles used in the hexagon shape.

I hope the above explanation was useful.

Saturday, July 17, 2010

Arc Length and Arc Length Formula


Arc Length and Arc Length Formula: Arc refers to a part of a circle or a curve. In case of the circle contains the minor arc and major arc. The arc length of minor is the multiplication of circumference of a circle and fraction of an angle (0/360).The length of an arc is called arc length. Radius of a circle and angle (o) can be making a formula of length.The arc length can be either small or large.Let us learn some key points of Arc Length Problems. The length of arc of the circle is given by the central angle divided by 360 degree which is multiplied by the circumference. If the circumference of the circle is given by 2pr then the length of arc of the semicircle is pr.


Let us now look at Arc Length Of Circle Theorem.The given axes be AB and CD .Take the region in Centre e and foci, mark points in any way as you like as shown in the figure.Describe arcs at g, g, g, and g then these points of intersection will be in the curve of the ellipsis upon f and f, with b 1 for radius.In similar way we will find other points. We can find h by taking 2 for one radius and b2 for another radius. By taking b 3 for one radius, and a 3 for the other i is found , always using the foci for centres. Trace the points c, g, h, i, b, etc.,Then we will be getting an ellipse shape as shown in the figure.Hope you like the above example of Arc Length and arc Length Formula.Please leave your comments, if you have any doubts.