THE CIRCLE

 

A circle is a simple shape of Euclydean Geometry that is the set of all points in a plane that are at a given distance from a given point, the center. The distance between any of the points and the centre is called the radius. It can also be defined as the locus of a point equidistant from a fixed point. 

A circle is a simple closed curve which divides the plane into two regions: an interior and an exterior.A circle may also be defined as a special ellipse in which the two foci are coincident and the ccentricity is 0, or the two-dimensional shape enclosing the most area per unit   perimeter, using calculus of variations.

 
As proved by Archimedes, the area enclosed by a circle is equal to that of a triangle whose base has the length of the circle's circumference and whose height equals the circle's radius,which comes to π multiplied by the radius squared.

Parallels Lines

Definition of Parallels Lines
Lines are parallel if they are always the same distance apart (called "equidistant"), and will never meet.

The red line is parallel to the blue line in both these cases:

Example 1		Example 2

Parallel lines also point in the same direction.

PARABOLA

Definition of a Parabola

The parabola is defined as the locus of a point which moves so that it is always the same distance from a fixed point (called the focus) and a given line (called the directrix).

In the following graph,

• The focus of the parabola is at (0,p).
• The directrix is the line y=−p.
• The focal distance is |p| (Distance from the origin to the focus, and from the origin to the directrix. We take absolute value because distance is positive.)
• The point (x, y) represents any point on the curve.
• The distance d from any point (x, y) to the focus (0,p) is the same as the distance from (x, y) to the directrix.

 

The parabola has many APPLICATIONS in situations where:

• Radiation often needs to be concentrated at one point or radiation needs to be transmitted from a single point into a wide parallel beam (e.g. headlight reflectors).

Here is an animation showing how parallel radio waves are collected by a parabolic antenna. The parallel rays reflect off the antenna and meet at a point (the red dot, labelled F), called the focus.

THINGLINK! CHECK IT OUT!

<img style="max-width:100%" src="//cdn.thinglink.me/api/image/522749972450377729/1024/10/scaletowidth#tl-522749972450377729;1043138249" class="alwaysThinglink"/><script async charset="utf-8" src="//cdn.thinglink.me/jse/embed.js"></script>

WELCOME TO OUR BLOG!

Hello, we are three students from the school SEK-ATLÁNTICO in Pontevedra,Spain.
Our theme in this project of ITEC is to invistigate the geometry in some sports.
We had created this blog to comunicate our classmates, teacher and the rest of the world our steps in this work.
In a few days we will puclicate more post.

Hope you enjoy!