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Greek mathology science and literature
Greek mathology science and literature
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In my paper I’m going to describe the highlights of the life of Thales of Miletus. Thales of Miletus was a seventh century materialist philosopher as well as a great mathematician. Thales is considered to be one of the most distinguished figures in the history of mathematics. He is considered the true father of Greek math, science, and even philosophy. Thales was born around 624 BC. He was born in the city of Miletus which is located on the western coast of Turkey. He died at the age of 78 in 545 BC. There is very little known about him due to the loss of records. The records did not state anything about his wife, but it did say that he had an adopted son that was his nephew. It is known though, that he traveled early in life …show more content…
Also, during this time he was able to craft his own discoveries. One of those discoveries was the Thales Theorem, which noted that a circle had three points: A,B, and C. The diameter would be between the points A and C and points ABC would be a right triangle. He invented his own theorem. Thales is credited with the following five theorems of geometry:
A circle is bisected by its diameter.
Angles at the base of any isosceles triangle are equal.
If two straight lines intersect, the opposite angles are formed equal.
If one triangle has two angles and one side equal to another triangle, the two triangles are equal.
Any angle inscribed in a semicircle is a right angle. This is known as the Thales theorem. He created the height and distance in geometry. He also invented another theorem called the intercept theorem. Thales intercept theorem states that DE = AE = AD BC AC AB In many ways Thales changed the world, but what makes him so popular is the theorems he made in math. I have not used this type of math yet, but I am sure I will use it in one of my future geometry classes. I may have used one or two of these things in my geometry class, but just can’t recall them. The intercept theorem is the ratio of line segments that are created if two intersecting lines are intercepted by a pair of
Geometry, a cornerstone in modern civilization, also had its beginnings in Ancient Greece. Euclid, a mathematician, formed many geometric proofs and theories [Document 5]. He also came to one of the most significant discoveries of math, Pi. This number showed the ratio between the diameter and circumference of a circle.
Through history, as said before, many philosophers have supported and developed what Pythagoras first exposed to the world. One of the most important philosophers to support Pythagoras’s ideas was Plato. In some of his writings he discusses the creation of the unive...
"The Foundations of Geometry: From Thales to Euclid." Science and Its Times. Ed. Neil Schlager and Josh Lauer. Vol. 1. Detroit: Gale, 2001. Gale Power Search. Web. 20 Dec. 2013.
Pythagoras of Samos is a man who was more than just a mathematician. A Greek philosopher, founder of the Pythagorean brotherhood, he was an extremely important political figure for his time. He invented vegetarianism and created one of the first secret organizations. Not much is known about his mathematical achievements because he never wrote anything down. It is unsure where his views end and his disciple’s views began. He influenced Plato and Aristotle and made contributions to the development of mathematics and western philosophy.
Carl Gauss was a man who is known for making a great deal breakthroughs in the wide variety of his work in both mathematics and physics. He is responsible for immeasurable contributions to the fields of number theory, analysis, differential geometry, geodesy, magnetism, astronomy, and optics, as well as many more. The concepts that he himself created have had an immense influence in many areas of the mathematic and scientific world.
Pythagorean Theorem is a relationship of the length of three sides of a triangle containing a right angle and is often written as a² + b² = c². It states that “The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides" , which can be shown as the picture below.
Even though Aristotle’s contributions to mathematics are significantly important and lay a strong foundation in the study and view of the science, it is imperative to mention that Aristotle, in actuality, “never devoted a treatise to philosophy of mathematics” [5]. As aforementioned, even his books never truly leaned toward a specific philosophy on mathematics, but rather a form or manner in which to attempt to understand mathematics through certain truths.
In order to find the various heights of pyramids and how far ships were from the shore, Thales used geometry. Additionally, Thales is known to be the first person to use deductive reasoning applied to geometry and also to have a mathematical discovery attached to their name. Thales theorem states that an inscribed angle in a semicircle is a right angle. One interesting thought I have gathered from Thales is that he believed the earth was flat. Pythagoras and his followers held the belief that “all things are numbers”.
Around Two thousand five hundred years ago, a Greek mathematician, Pythagoras, invented the Pythagorean Theorem. The Theorem was related to the length of each side of a right-angled triangle. In a right-angled triangle, the square on the hypotenuse, the side opposite to the right angle, equals to the sum of the squares on the other two sides. (148, Poskitt) To know more about this famous theorem, we can look at the other forms of the Pythagorean Theorem, such as it can also be written as c^2-a^2=b^2 which is for reverse operations like finding side b with the data of a and c. Meanwhile, the proofs of the theorem can make us understand more about the invention of the theorem and how Pythagoras figured it out. And with the invention of this theorem, we shall look into where this theorem was used in these days and how important it is.
named Pythagoras, but is he really the one who discovered the theorem? It?s kind of like the
Euclidean Geometry is a type of geometry created about 2400 years ago by the Greek mathematician, Euclid. Euclid studied points, lines and planes. The discoveries he made were organized into different theorems, postulates, definitions, and axioms. The ideas came up with were all written down in a set of books called Elements. Not only did Euclid state his ideas in Elements, but he proved them as well. Once he had one idea proven, Euclid would prove another idea that would have to be true based on what he had just discovered. Euclid was the first person to create this type of mathematical deduction. Out of all the mathematical discoveries Euclid made, one of the most famous would have to be the parallel postulate. The parallel postulate states that there is only one line that can be drawn through a point so that is parallel to another line not containing that point. To this day, the ideas that Euclid proposed are still relevant and taught in classrooms everywhere.
Carl Friedrich Gauss is revered as a very important man in the world of mathematicians. The discoveries he completed while he was alive contributed to many areas of mathematics like geometry, statistics, number theory, statistics, and more. Gauss was an extremely brilliant mathematician and that is precisely why he is remembered all through today. Although Gauss left many contributions in each of the aforementioned fields, two of his discoveries in the fields of mathematics and astronomy seem to have had the most tremendous effect on modern day mathematics.
There are many people that contributed to the discovery of irrational numbers. Some of these people include Hippasus of Metapontum, Leonard Euler, Archimedes, and Phidias. Hippasus found the √2. Leonard Euler found the number e. Archimedes found Π. Phidias found the golden ratio. Hippasus found the first irrational number of √2. In the 5th century, he was trying to find the length of the sides of a pentagon. He successfully found the irrational number when he found the hypotenuse of an isosceles right triangle. He is thought to have found this magnificent finding at sea. However, his work is often discounted or not recognized because he was supposedly thrown overboard by fellow shipmates. His work contradicted the Pythagorean mathematics that was already in place. The fundamentals of the Pythagorean mathematics was that number and geometry were not able to be separated (Irrational Number, 2014).
Aristotle uses mathematics and mathematical sciences in three important ways in his systematic expositions of a certain subjects (in this case mathematics and/or logic) principles, also called treatises . His treatises displayed some of the most difficult mathematics found before the Greco-Roman age, and his mistakes were only involved in conceptually difficult areas such as infinite lines and non-homogenous magnitudes. His philosophy of mathematics was said to provide important alternatives to Platonism. Platonism is the belief that physical objects are impermanent representations of unchanging ideas, and that these ideas alone give true knowledge as they are known by the mind. The developments in Greek mathematics around the late fifth and fourth century (B.C.E.) included organization of basic elements and conceptions of proof, number theory, proportion theory, sophisticated uses of construction, and the application of geometry and arithmetic in the formation of other sciences. He has...
The 17th Century saw Napier, Briggs and others greatly extend the power of mathematics as a calculator science with his discovery of logarithms. Cavalieri made progress towards the calculus with his infinitesimal methods and Descartes added the power of algebraic methods to geometry. Euclid, who lived around 300 BC in Alexandria, first stated his five postulates in his book The Elements that forms the base for all of his later Abu Abd-Allah ibn Musa al’Khwarizmi, was born abo...