Architecture, games, astronomy and medicine have something in common, even if it’s not obvious at first sight. What connects these different areas is called Conic Sections. Where do they come from? Conic Sections are figures formed by the intersection of a plane and a right circular cone. A conic section may be a circle, an ellipse, a parabola, or a hyperbola . They were first discovered by a Greek mathematician, Menaechmus. He wanted to come up with a model that showed all three different conic sections. With the help of Appollonius, they came up with the “Double Napped Cone”, which clearly shows all three different shapes. In this project, I’m going to study and analyze specifically the ellipse. What is an ellipse? It’s the set of points on a plane whose sum of the distance of two fixed points is constant . The main parts on an ellipse are: center, foci and vertices. The focus is the most important and the most used in real life. The foci determine the shape of the ellipse, therefore the vertices, endpoints, major axis and minor axis. The ellipse is found mostly in architecture and astronomy. For example, in London, the St. Paul Cathedral has an elliptical form. Studies have proven that if two people stand at the two foci, and one of them whispers, the other guy can hear it clearly. In astronomy, lots of people confuse ellipse with eclipse; THEY ARE TWO COMPLETELY DIFFERENT THINGS! The ellipse is very useful to astronomers because it defines the distance between the sun
The Scientific Revolution brought a new way of thinking about the universe, and brought an end to Europe’s medieval past. Many scientists have devoted their lives to creating new ideas about the physical universe. These scientists created the assumption that the universe and nature are governed by mathematical laws. Each of the three scientists, Nicolaus Copernicus, Johannes Kepler, and Isaac Newton contributed to the breakdown of the medieval world view. Nicolaus Copernicus thought past the idea of a geocentric universe, and established the idea of a heliocentric theory, or a sun-centered universe. Johannes Kepler presented the idea of an ellipse, otherwise known as the planets following an oval shaped orbit, and not a perfect circle. Finally,
Many great golf players use golf psychology to help them win major tournaments. They knew they were very talented, but needed to score a little bit better and become more consistent to achieve an elite level. Buying more expensive equipment was not the secret and neither was practicing to the point of sheer exhaustion. It has to do with the proven scientific discipline of psychology and changing your way of thinking. It helps you over come the pressure associated with tournament play and coping with a constant barrage of questions from fans and the media. It only takes a short time to change your thinking so you can start winning.
The Athenian Greeks at the height of their power built a temple called the Parthenon which was a monument to their core values of perfectionism, humanism, and rationalism. It is important to understand that the human eye has imperfections which deceive the mind, so one can understand the unique steps that were taken to achieve the illusion of perfection to the human eye. The Greeks loved perfection, and as seen in the Parthenon, the Greek architects purposely made the Parthenon imperfect to account for the imperfections in the human eye. This was done so that when one views the Parthenon with the naked eye, it appears to be perfectly symmetrical, straight, and proportional. The entire Parthenon does not have a single right angle. An example of the Greeks compensating for the imperfections of the human eye is seen in the base of the Parthenon, which from a picture or in real life looks perfectly straight, but in reality it is actually curved slightly upward. It is curved because the Greeks knew that if you have a perfectly flat base for a building, it appears curved to the human eye. To account for that, the Greeks made it so that the base was already curved. The Greeks also curved the columns of the Parthenon inward, because if the columns were straight, it would appear to be curving outward. Again, the Greeks knew about how the human eye deceives the mind, and decided that they must trick the eye to please the mind. This was all done because the Greeks strived for
The Law of ellipses, which means that each planet travels around the sun in an ellipses.
Although, the actual creators of the lines and to what specific reason why they were created remains unknown, the main
Through the history of youth golf people have created youth golf associations which create programs like summer camps and golf teams and leagues. Summer camps are great programs if you are new to the game of golf. They provide the basics of golf and will build you up for the next level. Most summer camps are co-ed (S4). You can find youth summer camps at most golf courses that have interest in youth golf.
When it comes to the existence of objects that have morphed and changed, in part due to their perception throughout the course of history, it does not take long before one begins to consider objects of exceedingly long, cylindrical, and rounded nature. The reader has but to consider the iconically Ionic columns of the Parthenon, the obelisks of ancient Egypt, or the steles of Persia before realizing the true extent to which such objects have been the focus of ancient, and present, attention.
They assume that the person who created the lines had to have diligent attention in order to fight the lines. It also took many hours to get them done well. They also realized that they didn't need great mathematical or engineering skills to create the figures/lines, it was all created because people worked together very carefully with their eyes and hands. There were are theories that the nazcas lines were created not only by ground but maybe on the air but it wasn't proven. It was also questioned the reasoning behind the drawings because they were only really visible when of ground, only in high altitudes, for this reason they believed that the reason for that was so that the gods could see their drawing. Another explanation for the lines were that they use to use them to mark the water source and geological faults that could inform the nazca people where they could reliably find fresh water. Regardless of what this beautiful lines were made for continue to impact us today and make us want to learn more about the past and what people have left behind. As well as it helps us understand what people did before technology existed and how they interpreted the
Blaming your moves, shots and swings for your golf mishits and mishaps? Well, no matter how much time and effort you have been spending over practicing your moves to perfect your game, you still won't achieve your goal if you use unsuitable or defective types of golf equipment, will you?
Efren “Bata” Reyes, Francisco “Django” Bustamante, Dennis Orcollo, and many more. Anyone who watches the sport of Billiards knows the names mentioned above. They helped bring the Philippines on to the world stage of Billiards. They made the Filipinos rejoice with their victories and the Filipinos cry with their setbacks. But one has to wonder, how did this sport once made this country crazy? How did this sport brought the Filipino dream on to greater heights? In this essay, we will talk about the rise of the sport of pool here in the Philippines.
As anyone who has played a round of golf will attest to, the sport is based around many fundamental principals of physics. These basic laws are involved with every aspect of the game from how a player swings the club to how the ball moves through the air on its way toward the pin. It is the challenge that physics presents to the golfer that has allowed the game, and equipment used, to develop so drastically over the past one hundred years. The first golf balls used were called featheries. They were made with a horsehide cover packed with wet goose feathers. When the balls dried they became extremely hard. The major flaw with the featheries was that they could not be used when the conditions were wet because they
Have you ever wondered how ancient civilization built massive structures? Many ancient civilizations built things that served a multitude of purposes. Most of the purposes of these structures are already known but, there still may be unknown uses for the thing these ancient civilizations built. There also many different ancient civilizations like the Greeks, Romans, Chinese, Egyptian, Mayans, and Aztecs. Many of the things built in ancient times influenced the things that we build today. For example, the coliseum influenced the basic designs of modern football stadiums. Also the designs made by these ancient civilizations helped to change the way other civilizations made there monuments. For example, when the romans started to different types of columns and arches the style was adopted, modified, and used in the designs of cathedrals in Europe .There are many parts of these ancient buildings still undiscovered. For example there could still be sealed rooms in the pyramids of Giza. Usually when people start to research architecture made by ancient civilizations, they have to answer how were they built, and what were they built for.
Many people take up Golf thinking that it is easy, after all, how hard can it be to hit a little white ball with a stick? This thinking evaporates the first time they step onto a driving range and attempt to hit that little white ball. Golf is not easy by any stretch of the imagination. My experience with golf began in May of 2005 when friends came to stay with us; my wife informed me that I would have to take Roy, her friend’s husband Golfing. I had not been to a driving range (since I was in my teens) and I had never played golf on a course before. It was quite an experience; the weather was cold, rainy and nasty the three times we played while they where here, the game hooked me badly, even with the bad shots and the nasty weather.
Apollonius was noted for his writings on the conic section (the parabolas, circles and ellipse, and the hyperbola).
Conic sections and conics are use in orbital mechanics to determine the type of orbit and defining the eccentricity of the conic section and the hyperbola or parabola formed within the right cone depending on the angularity of the section.