Greeks. The ancient Greek mathematician Euclid influenced mathematics in a large way after developing the Pythagorean theorem. His theorem (written around 300 B.C.) stated that “If two straight lines cut one another‚ the vertical‚ or opposite‚ angles shall be the same” (Doc. 5). Euclid wrote this theorem to set a base rule to help find the sum of the angles of a triangle. The Pythagorean theorem is still used today in mathematics thanks to Euclid’s contribution to society. Perhaps the most famous
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* Deductive Reasoning – * making a specific conclusion based on a collection of generally accepted assumptions. * There are no counterexamples * Premises – undefined terms‚ definitions and postulates (or previously proven theorems) * Fallacy: A conclusion that does not necessarily follow from the premises. * Proof by Negation – Indirect Proofs – * Start with the Givens * Assume the negation of the Conclusion/Proof * The conclusion of the
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2000-1800 BC)[3] and the Moscow Mathematical Papyrus (Egyptian mathematics c. 1890 BC). All of these texts concern the so-called Pythagorean theorem‚ which seems to be the most ancient and widespread mathematical development after basic arithmetic and geometry. The study of mathematics as a subject in its own right begins in the 6th century BC with the Pythagoreans‚ who coined the term "mathematics" from the ancient Greek μάθημα (mathema)‚ meaning "subject of instruction".[4] Greek mathematics
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the Euclidean Summary of Proclus. This contains an outline of the development of Greek geometry from early times until Euclid (Allen‚ 1997). Thales is often considered to be one of the first Greek mathematicians. The proposition known as the “Theorem of Thales” states‚ “The diameter of a circle always subtends a right angle to any point on the circle” (Thomas‚ 1991‚ p. 119). There are few primary sources that are able to describe early Greek Mathematics‚ hence the reliance on Proclus‚ but it is
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A mathematician is a person whose primary area study is the field of mathematics. Mathematicians are concerned with logic‚ space‚ transformations‚ numbers and more general ideas which encompass these concepts. Some notable mathematicians include Archimedes of Syracuse‚ Leonhard Paul Euler‚ Johann Carl Friedrich Gauss‚ Johann Bernoulli‚ Jacob Bernoulli‚ Muhammad ibn Mūsā al-Khwārizmī‚ Georg Friedrich Bernhard Riemann‚ Gottfried Leibniz‚ Euclid of Alexandria‚ Jules Henri Poincaré‚ Srinivasa Ramanujan
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Geometry is typically the second math course taken by high school students. Major topics discussed include introductory logic; coordinate geometry; congruence‚ similarity and proof; right triangle trigonometry; transformations; locus; constructions; circles; and three-dimensional objects. Students will garner reasoning skills and learn how to form logical and coherent arguments. This course is aligned with the Common Core Learning Standards and integrates the eight Standards for Mathematical Practice
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Geometry (Ancient Greek: γεωμετρία; geo- "earth"‚ -metron "measurement") is a branch of mathematics concerned with questions of shape‚ size‚ relative position of figures‚ and the properties of space. A mathematician who works in the field of geometry is called a geometer. Geometry arose independently in a number of early cultures as a body of practical knowledge concerning lengths‚ areas‚ and volumes‚ with elements of a formal mathematical science emerging in the West as early as Thales (6th Century
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Chidambaram Ramanujam | | | Top of FormBottom of Form | | | | | Before we look at the life and work of Chidambaram Padmanabhan Ramanujam we must warn the reader that this article is on Ramanujam‚ NOT Ramanujan the number theorist who worked with G H Hardy (there is only a difference of one letter in their names!). Ramanujam’s father was C S Padmanabhan who was an advocate working in Madras‚ India‚ at the High Court. C P Ramanujam was educated in Madras‚ first at Ewart’s School‚ where
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References: Internet Encyclopedia of Philosophy‚ Last updated: April 21‚ 2001 | Originally published: April/21/2001. Retrieved from http://www.iep.utm.edu/pythagor/ Fey‚ James. Looking for Pythagoras: The Pythagorean Theorem. (1997). White Plains‚ NY: Dale Seymour Publications‚. O ’Connor‚ J. J.‚ Robertson‚ E. F. January (1999). Pythagoras‚ Phoenician/Greek Mathematician. Retrieved from: http://phoenicia.org/pythagoras.html Pythagoras of Samos. Retrieved from
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powerful in Croton in southern Italy‚ where Pythagoras had established a school for his newly formed sect‚ or group of followers. It is probable that the Pythagoreans took positions in the local government in order to lead men to the pure life that was directed by their teachings. Eventually‚ however‚ a rival group launched an attack on the Pythagoreans at a gathering of the sect‚ and the group was almost completely destroyed. Pythagoras either had been forced to leave Croton or had left voluntarily shortly
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