Why study mathematics The Hyberbola

Why study mathematics The Hyberbola How to continue the "Why Study Math" series of articles we have here is a look at the conic section called hyperbole. The hyperbola is obtained by the intersection of the double cone removed (see the other articles in this series at this point), with a plan that both sides of the cone are cut. Those who know the parable can be seen that this curve seems almost like two parables glued back to back with a space between them. Mathematically, the hyperbole is not a parable, so that these two conics have the same appearance. The hyperbola is the least known of the four conics. It is also the most difficult to draw any algebraic curve. Probably for this reason, students who study the conic sections, such as hyperbole, the least. However, when the students see why we have this tu of study, changes in attitudes significantly. For this reason, time to examine some of the questions relating to hyperbole. All at one time or another has thrown a pebble into a still pond. Photos to launch not one but two stones in the pond at the same time. The development of that form concentric circles intersect each other points, to draw the curve known as hyperbole. This application is used in radar stations. LORAN, the terrestrial navigation system, radio transmitters using a low frequency to identify objects. The objects are located by sending audio signals from two sources to a receiving station, as found on a boat or airplane. The constant time difference between signals from two stations is represented by a hyperbola. As we have discussed with the ellipse of applications, most of the celestial bodies follow elliptical orbits. In the case of comets, however, a hyperbolic path is followed as drawing in space. The hyperbola is the shadow on a wall by a lamp with a roller shade. And something a little 'over the earth, the shape of the saddle you drive in on an interesting curve is called hyperbolic paraboloid. So, you see, the conic sections - even hyperbole - may be closer than you think.