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Short essay on euclid's geometry
A short article on euclid
What was Euclid's contribution to mathematics in ancient times
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The Famous Mathematician
Euclid
Abstract
Euclid, otherwise known as “The Father of Geometry”, is who I shall be talking about in this paper. Place of birth? Place of death? Living conditions; child life, family backgrounds, etc? Educational background? What are his most significant contributions to the mathematical field? What is the relevance of those contributions to mathematics today? One interesting fact? Additional biographical information? Destiny Kirby is the only participant that’s writing this paper. My methods include; mostly online research and if I must, I will go to the library and check out a book about this mister Euclid. My results from researching will hopefully be useful information that I can use to complete
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He also made ten statements that are truths, also known as Axioms. Euclid called his ‘postulates, which he dived into groups depending if they could be use for all mathematics or if they were better suited for only geometry. He included twenty-three definitions of common mathematical words to go with his Axioms just to make sure that there would be no interpretation errors, and he also was the first known person to prove that there is no such thing as the ‘largest prime number’ because if you one to the product of all of the previous prime numbers you’ll get a large prime number. Thus, the process goes on forever and ever so there can be no one, true ‘largest prime number (“Euclid, the Father of …show more content…
Despite the fact that pundits have expressed that Euclid 's thoughts in Elements are all in light of prior, more improved standards, until he created the work there was not at all like it as far as simple and sorted out reference (“Euclid Facts.”). Euclid utilized a methodology called the "manufactured methodology" to present his hypotheses. Utilizing this technique, one advances in a progression of intelligent strides from the known not obscure ("FASCINATING FACTS OF MATHEMATICS."). It is conceivable to draw a straight line from any point to any
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.
Hippocrates taught in Athens and worked on squaring the circle and also worked on duplicating the cube. He grew far in these areas and although his work is not lost, it must have contained much of what Euclid later included in Books One and Two of the Elements.
Thucydides is known as the father of scientific history and this is reflected in the ratio of strengths vs. weaknesses in his work. The first strength of his work is the accuracy of his historical chronicling. As opposed to Herodotus who wrote in a more literary, dramatic style in order to construct a sensationalised narrative. Thucydides on the other hand stuck to the facts as closely as possible regardless of how this would affect the delivery of the work to the reader. This is shown in this passage from the first chapter of the first
Euclidean distance was proposed by Greek mathematician Euclid of Alexandria. In mathematics, the Euclidean distance or Euclidean metric is the distance between two points, which is shown as a length of a line segment and is given by the Pythagorean theorem. The formula of Euclidean distance is a squ...
"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.
By the time Euclid's Elements appeared in about 300 BC, several important results about primes had been proved. In Book IX of the Elements, Euclid proves that there are infinitely many prime numbers. This is one of the first proofs known which uses the method of contradiction to establish a result. Euclid also gives a proof of the Fundamental Theorem of Arithmetic: Every integer can be written as a product of primes in an essentially unique way.
Euclid, who lived from about 330 B.C.E. to 260 B.C.E., is often referred to as the Father of Geometry. Very little is known about his life or exact place of birth, other than the fact that he taught mathematics at the Alexandria library in Alexandria, Egypt during the reign of Ptolemy I. He also wrote many books based on mathematical knowledge, such as Elements, which is regarded as one of the greatest mathematical/geometrical encyclopedias of all time, only being outsold by the Bible.
On the European continent, rationalists like Descartes, Spinoza and Leibniz were plato’s natural heirs. They emphasised the importance of reason, as opposed to sensory experience in obtaining knowledge. The rationalist model for knowledge-gathering is mathematics - mathematical demonstration in particular. Demonstrating this, Spinoza’s Ethics has the same format as Euclid’s Elements, containing ‘propositions’ and ‘demonstrations’. It is thought science is supposed to be founded on philosophical first-principles.
However, his greatest contribution to mathematics is considered to be logic, for without logic there would be no reasoning and therefore no true valid rules to the science of mathematics.
yet we know relatively few facts of his life. We are not exactly sure of his birth
...bsp;Using Analytic Geometry, geometry has been able to be taught in school-books in all grades. Some of the problems that are solved using Rene’s work are vector space, definition of the plane, distance problems, dot products, cross products, and intersection problems. The foundation for Rene’s Analytic Geometry came from his book entitled Discourse on the Method of Rightly Conducting the Reason in the Search for Truth in the Sciences (“Analytic Geomoetry”).
Russell was, early on in life, fascinated by geometry -- in fact, he found an inherent beauty in it. He approached everything in life analytically, and of course mathematics ...
Burton, D. (2011). The History of Mathematics: An Introduction. (Seventh Ed.) New York, NY. McGraw-Hill Companies, Inc.
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...