Why the math ellipse

Why the math ellipse In continuation of the "Why the math" series of articles, here we are in a conical section, the ellipse. The four conic sections, so that most known for the minimum, the circle, the ellipse, the parabola and hyperbola. Remember that these forms may be obtained by slicing a right circular double-napped cone with a plan. As visual perception, the image a cone ice cream - no ice - his head standing on a table. This is a single right circular cone of cloth. (For a double-napped cone, another membrane on the right side up, balanced on this point.) In a circle, the imaginary surface (photo of a piece of paper) and cut the cone at right angles to the base. The plan was simply a circle on the cone. Moreover, the slope of the ellipse level slightly above or below, and cut with the membrane. What you have then is a circle or ellipse elongated. Probably the best known application of mathematics is an ellipse curve name in the description of planetary orbits. Johannes Kepler, the famous German mathematician and astronomer, used the position of the planet Mars on Sunday and to orbit the Earth. After twenty years of hard work and analysis, Kepler was able to continue his three laws of planetary motion. The first of these laws correctly states that the planets around the sun in elliptical orbits. This was a revolutionary who finally put an end to the Copeican idea of circular orbits. Although some may know that the planets revolve in elliptical orbits around the Sun, much less frequent application of this conical section is in the car. The ellipse is found widely in the manufacture of cameras, the rotating parts of machines that are used for movement in up-and rotary-down or forward and backward movement. Examples of these are in the sewing machine, based on the CAM for the generation of up and down movement of the sewing needle. The press strike is another example of CAM. This machine is the production of dies for the manufacture of metal objects. Thanks to the properties of the ellipse, the punch press can work for all types of complex objects made of metal with the arc of the barrel gun trigger, to screws and nuts to the wire. Of course, we must not forget the use of CAM in the car engine. The engine must be one of the most important inventions of all time. Thanks to the knowledge of the ellipse, was the development of the engine, based on the cams and camshafts up and down motion of the elliptic curves in a way of rotation. The up-and-down movement is complicated in the complex tasks of the inteal combustion engine. Not bad for a simple idea of mathematics, as the ellipse! So the next time you hop in the new Mercedes spit shined and you start the engine revolutions, had forgotten that it was not for research and application of the ellipse, you could be getting your sexy on a date on a horse and buggy . Until next time ...