FINAL PROJECT Conic Sections Real Life Applications Valeria

FINAL PROJECT Conic Sections: Real Life Applications Valeria Ruiz A 01194067

Introduction In this project I will introduce the topic of conics, I would show you how to know if a figure is an Ellipse or a parabola and what characteristics they have. I will put some images with the same shapes of them as examples. As the presentation passes the topic would be getting more information i the next slide you can see.

Ellipse ( Everyday life) Ellipse: A regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant, or resulting when a cone is cut by an oblique plane that does not intersect the base. This image is a shampoo called herbal essences is the one that I use and I tooked the picture at my home. In this picture the top of shampoo has the shape of an ellipse because it is like an oval or longed circle, And that shape of an oval is the main characteristc of a ellipse. In the other slide of the other example for the other ellipse its more clear how an ellipse is done.

Parabola (Everyday life) Parabola: It is a curve where any point is at an equal distance from a fixed point (the focus) and a fixed straight line (the directrix). This image it´s a mcdonalds french fries box and the M form the name mcdonald's shows a parabola. This image is in the restaurant mcdonald's I was having dinner with my friends. In the sign of mcdonald's we can see two vertical parabolas they are facing downward, so if we found the equation of this parabola 4 p will be negative. A vertical parabola can go up or down.

Parabola (Monument-Eiffel Tower) The Eiffel Tower is a tower of skeletal iron construction found in Paris. Here we can see an example of a parabola, because the lower part of the tower shows the exact shape of it. And it has a vertex and axis of symmetry.

Ellipse (Monument-Colosseum) In an ellipse there is always a mayor axis and a minor axis, and we can see this in the Colosseum located in Rome, Italy the shape looks like a compressed circle. In the image in the side you can see where is the mayor axis, minor axis, ellipses and center.

Conclusion I think this final project was great I really liked it, it was fun for me to take picture to many things at my home to describe them and analyze them. But mostly I learned how to do parabolas and ellipses and their characteristics and how they work. I never thought before this project about that most of the more famous monuments like the Colosseum and the Eiffel Tower would have the shape of a conic. I never before analyzed so many objects, before I didn't pay them attention and its interesting to observe them.

References "Roman Colosseum. " Rome. info , Coliseum of Rome. N. p. , n. d. Web. 19 Nov. 2015. <http: //www. rome. info/colo" "Parabola. " Parabola. N. p. , n. d. Web. 19 Nov. 2015. <https: //www. mathsisfun. com/geometry/parabola. html>