to the other two sides and its corresponding angle: Relate that either of these relations reduce to simpler forms for the case of right triangles‚ particularly: 1. Law of Sines reduces to c = c = c. 2. Law of Cosines reduces them to the Pythagorean Theorem. Solving Oblique Triangles Explore the types of triangles and how to solve them. All oblique triangles make full use of the sum of angles rule that A + B + C = 180º in all triangles. All other elements require select application of the
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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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MTH 405 Midterm 16/3/2011 1. A specific area for the area of various polygons is the one for the area of a regular polygon. The setup and initial steps to creating the proof require a geometric approach that would otherwise make proving a big challenge. For example‚ a polygon with n sides is broken up into a collection of n congruent triangles‚ this geometric setup is key in reaching an easy solution for the area. The algebraic aspect comes into play when it comes to deriving the equation
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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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The life and brutal death of Hypatia of Alexandria has been a topic of debatable discussion since the 4th century C.E. She lived Alexandria‚ Egypt (the center of ancient knowledge) and while it is assumed that she learned the study of mathematics from her father‚ “Theon of Alexandria” it is known that she was the head geometry teacher of the Neo-Platonist school (Belenky‚ 2010). Hypatia is regarded as one of the first women that contributed in many ways to the field of mathematical findings that
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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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Indian mathematician Aryabhata used the notion of infinitesimals and expressed an astronomical problem in the form of a basic differential equation.[4] This equation eventually led Bhāskara II in the 12th century to develop an early derivative representing infinitesimal change‚ and he described an early form of "Rolle’s theorem".[5] Around AD 1000‚ the Islamic mathematician Ibn al-Haytham (Alhazen) was the first to derive the formula for the sum of the fourth powers‚ and using mathematical induction‚
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Saturday is a day I try to spend in the nature’s company. I like the cool breeze when the day is sunny and warm. I looked at the sky. It seemed so blue and so close‚ and just by climbing the little hill in front of me‚ it seemed I could reach the sun‚ which looked no bigger than the ring on my hand. After a few hours of walking over the hill‚ the sun seemed to be the same distance from me‚ and it was the same size‚ just like the moon that soon replaced it‚ surrounded by thousands of little stars
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Greek mythology is the myth that the ancient Greeks centered their lives and beliefs around. Monsters‚ gods and heroes are just a part of the myth that all the world heard for decades. Myths have been passed down by world of mouth for decades‚ usually to explain an unexplainable event or often to tell a story of a Greek God. These myths started in Greece culture has an influence on our culture today. The Greek culture impacts our daily life. The Greek culture has an impact on the western culture
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