Euclidean Geometry
Geometry was thoroughly organized in about 300 BC, when the Greek mathematician Euclid gathered what was known at the time, added original work of his own, and arranged 465 propositions into 13 books, called 'Elements'. The books covered not only plane and solid geometry but also much of what is now known as algebra, trigonometry, and advanced arithmetic.
Through the ages, the propositions have been rearranged, and many of the proofs are different, but the basic idea presented in the 'Elements' has not changed. In the work facts are not just cataloged but are developed in a fashionable way.
Even in 300 BC, geometry was recognized to be not just for mathematicians. Anyone can benefit from the basic learning of geometry, which are how to follow lines of reasoning, how to say precisely what is intended, and especially how to prove basic concepts by following these lines of reasoning.
Taking a course in geometry is beneficial for all students, who will find that learning to reason and prove convincingly is necessary for every profession. It is true that not everyone must prove things, but everyone is exposed to proof.
Politicians, advertisers, and many other people try to offer convincing arguments. Anyone who cannot tell a good proof from a bad one may easily be persuaded in the wrong direction. Geometry provides a simplified universe, where points and lines obey believable rules and where conclusions are easily verified.
By first studying how to reason in this simplified universe, people can eventually, through practice and experience, learn how to reason in a complicated world.
Geometry in ancient times was recognized as part of everyone's education.
Early Greek philosophers asked that no one come to their schools who had not learned the 'Elements' of Euclid. There were, and still are, many who resisted this kind of education. It is said that Ptolemy I asked Euclid for an easier way
For instance, one of the first steps in creating an argument is convincing the audience to listen to you, and then convincing them there is a problem that requires a solution.
Although some of the elements have been known for thousands of years, our understanding of many elements is still young. Mendeleev’s first Periodic Table contained only 63 elements, and about that many were discovered in the following 100 years. Just like countries, emperors, philosophers, and cities, elements have histories, too.“The Disappearing spoon” by Sam Kean, is a detailed history of the elements on the Periodic Table. Kean does a important job of telling every single element’s journey throughout the history of mankind: from the earliest times, when chemistry was intermingled with alchemy, to these days of modern chemistry. For example: Thallium is considered the deadliest element, pretending to be potassium to gain entry into our cells where it then breaks amino acid bonds within proteins. The CIA once developed a plan to poison Fidel Castro by dosing his socks with thallium-tainted
The airline industry not only transports passengers across the country and world but it also moves cargo from location to location. The largest segment for the airlines is general commercial passengers and business travelers. In 2004, there were 15 major airlines with 12 of those being mainly passenger carriers, the remaining three being cargo carriers. In addition to the large airlines (Delta, United, American, Southwest, Northwest), there are numerous low-cost regional carriers that have tapped into the larger carriers’ customer base. These smaller companies generally fly from smaller airports and serve a smaller amount of destination cities. Calling them a no-frills air carrier would not be far from the truth. Their goal is to move customers f...
As Frontier approached its 10th year of operation, Frontier officials realized an image shift was in order. The airline had established a reputation for friendly and reliable service, and reasonable airfares, mainly appealing to leisure travelers. But they reali...
.... For argument is not about who is right, but what is learned as a
Making a good and persuasive argument is very much an acquired skill. It requires much practice and perfecting. It takes more than just having passion and making good points. Just because a person is passionate about the topic or has supporting details does not mean they can make a successful argument. Much more thought and skill is required. Gordon Adams, in his letter to the Arizona State University standards committee, demonstrates this quite well. Gordon Adams writes a passionate argument, yet his argument lacks several critical aspects.
and can provide evidence to support itself. Each view also has a large number of
supporting that either side of the argument has a strong lead over the other. “Previous
It has stayed relevant to the market through its propelled philosophy of relationships to generate profits in the business. Since its establishment in Monroe, Louisiana the once tiny airline has stretched to greater heights serving in 6 continents. It has also established a distinguishable name among its competitors with a reputation of leading customer services. However, even as an established venture, the company needs to maximize its profits in order to stay in business and expand in to new territories beyond its conquered boundaries. A strategic analysis was carried out by our team to establish the company’s current situation. A SWOT analysis was performed to come up with three referenced, strategic alternatives. This alternatives are meant to act as a strategic guidance to the company in order to enhance growth. The strategic recommendation provided will improve and enable the business to cope with the competitors while the implementation of the strategy section will outline the way to go about achieving these alternatives in the business setting. Lastly, we put up a discussion on the evaluation procedures and necessary controls for the
The Periodic table of elements is an extremely important and useful scientific tool, mostly in the area of chemistry, but also in many other scientific areas. It has been around for hundreds of years and over time has been continuously added to and develop by many different scientists. The Periodic table contains over 100 elements, each one with varying physical and chemical properties. The Periodic table has not been simply one person creating and discovering all the elements, it has been the combined work of many different scientists. Although, Dimitri Mendeleev is often considered the creator or even father of the Periodic system.
I have conducted my research through interview with someone familiar with construction and development as how geometry is used in these fields.
The Periodic Table of Elements is commonly used today when studying elements. This table’s history begins in ancient times when Greek scientists first started discovering different elements. Over the years, many different forms of the periodic table have been made which set the basis for the modern table we use today. This table includes over 100 elements and are arranged by groups and periods. Groups being vertical columns and periods being horizontal columns. With all of the research conducted over the years and the organization of this table, it is easy to use when needed.
John Dalton�s Periodic Tables. 2014. John Dalton�s Periodic Tables. [ONLINE] Available at:http://www.sussexvt.k12.de.us/science/The%20History%20of%20the%20World%201500-1899/John%20Dalton's%20periodic%20tables.htm. [Accessed 12 May 2014].
"A periodic table is an arrangement of elements in which the elements are separated into groups based on a set of repeating properties." Basically it shows us all known elements in the world. For one to read the periodic table he should beware that the atomic number comes first in the square , and referring to the atomic number its the number of protons found in the nucleus of an atom. Following the atomic number is the symbol, which is usually the abbreviation of the element's name. For example Carbon is referred to as " C". Then, the element’s name is shown right after the symbol. Lastly, there's the mass number, which is the number of protons and neutrons in the nucleus of an atom. So simply for us to find the number of protons we automatically
Introduction to online 3 dimensional shapes. In geometry, the three dimensions are known as length, width and height or any three perpendicular directions can act as 3D. The basic three-dimensional shapes are listed below. Online students can get the help about three dimensional shapes.