History: The Cartesian coordinate system is named after René Descartes(1596-1650)‚ the noted French mathematician and philosopher‚ who was among the first to describe its properties. However‚ historical evidence shows that Pierre de Fermat (1601-1665)‚ also a French mathematician and scholar‚ did more to develop the Cartesian system than did Descartes. The development of the Cartesian coordinate system enabled the development of perspective and projective geometry. It would later play an intrinsic
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CET11 Mathematics Question Bank – Straight Lines‚ Pair of Lines & Circles A straight line through the point A 3‚ 4 is such that its intercept between the axes is bisected at A . It’s equation is 1. (a) 4 x 3 y 24 Ans: a (b) 3x 4 y 25 (c) x y 7 (d) 3x 4 y 7 0 Sol: By formula required equation is given by x y 2 4 x 3 y 24 3 4 2. The equation of the line which is the perpendicular bisector of the line joining the points 3‚ 5 and 9‚3 is (a)
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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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Little is know about Euclid‚ the father of geometry. Records show that he lived somewhere around 300 B.C. He was a Greek mathematician and is probably best known for his work Elements. Since little is known about the personal life of Euclid‚ it is difficult to do a biography on him. His chief work‚ entitled Elements‚ is a comprehensive essay on mathematics. It includes 13 volumes that entail such subjects as plane geometry‚ dealing with the properties of flat surfaces and of planar figures
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need to be made aware of the fact that the study of geometry arose in response to certain human needs. They should know about the use of geometry in our daily or real life. In this project‚ students will discover situations in daily life where geometrical concepts can be used effectively. In particular we find situations where the properties of similar triangles are useful and how to find height and distance of any object with the help of geometry and trigonometry. Objective
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Elliptic geometry (sometimes known as Riemannian geometry) is a non-Euclidean geometry‚ in which‚ given a line L and a point p outside L‚ there exists no line parallel to L passing through p. Elliptic geometry‚ like hyperbolic geometry‚ violates Euclid’s parallel postulate‚ which asserts that there is exactly one line parallel to L passing through p. In elliptic geometry‚ there are no parallel lines at all. Elliptic geometry has other unusual properties. For example‚ the sum of the angles of any
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How is geometry used in everyday life? When you’re studying a subject‚ the science of lines and angles can seem like nothing more than a dull exercise in formulas and predictability. In reality‚ geometry is at work everywhere you go. Whether you’re aware of it or not‚ geometry quite literally shapes our lives. An Ancient Science‚ how long has geometry been around? To answer that question‚ let’s take a look at where geometry gets its name. Geometry is derived from the Greek words for Earth (Geo)
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Geometry III 1st Grading Period I. Undefined Terms 1. Point- though we represent a point with a dot‚ the point has no length‚ width‚ or thickness. A point is usually named with a capital letter. In the coordinate plane‚ a point is named by an ordered pair‚ (point A) . A 2. LINE –In geometry‚ a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends
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Non-Euclidean geometry is any form of geometry that is based on axioms‚ or postulates‚ different from those of Euclidean geometry. These geometries were developed by mathematicians to find a way to prove Euclid’s fifth postulate as a theorem using his other four postulates. They were not accepted until around the nineteenth century. These geometries are based on a curved plane‚ whether it is elliptic or hyperbolic. There are no parallel lines in non-Euclidean geometry‚ and the angles of triangles
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Structured program list. First unit: Sets. In this unit the fundamental concepts of the theory of sets is addressed to provide the tools and the language of operation for subsequent units. Second unit: numbering systems. In this unit‚ we address numbering systems of different cultures until the one’s used current day‚ highlighting the importance of ten based numbering system (decimal)‚ which will be developed in depth by tackling its properties through the next unit. Unit Three: The field
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