Many results in geometry can be shown or demonstrated by construction and measurement. For example‚ we can draw a triangle and measure the angles to show or demonstrate that the angle sum of a triangle is 180 ° . However this does not prove that the angle sum of any triangle is 180 ° . To prove this and other geometrical results we use a process called deduction ‚ in which a specific result is proved by reasoning logically from a general principle or known fact. When setting out proofs
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monkeys‚ birds and other innocent animals endure physical and verbal abuse in labatories for animal medical research and experimentation. Their rights and freedom are seized‚ they weaken in pain as well as being carelessly handled to have unfamiliar products tested on them. These occurrences could well and truly lead to animal cruelty. Firstly‚ animals’ rights and freedom are breached when they are used in research. Any animal should receive respectful treatment. Animals and people are alike in many
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There I was laying on the field‚ during the second half of my football game‚ tossing and turning as I held my right shoulder in agonizing pain. I looked up only to see the trainer looking down at me with a concerned look. “What’s wrong?” he asked. Repeatedly I tapped my shoulder as I was struggling to get the words out. He helped me up and walked me back to the sideline. I waited for what seemed like hours for the game to end. A few days later‚ I went to a local doctor to get an X-ray. The doctor
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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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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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Geometry Honors Component I know you need to know how to read a write for life‚ but how in the world does math come into play anywhere in life? Believe it or not math is actually very important‚ it’s kinda like a third language. You need math so you can see how much groceries are or to even make or design a building. This math is also known as algebra and geometry. No you may not uses algebra and geometry in the store but you will use it in sport and jobs like Civil Engineer or Architecture. Architecture
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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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Geometry in Everyday Life Geometry in everyday life Geometry was thoroughly organized in about 300bc‚ when the Greek mathematician‚ Euclid gathered what was known at the time; added original work of his own and arranged 465 propositions into 13 books‚ called Elements. Geometry was recognized to be not just for mathematicians. Anyone can benefit from the basic learning of geometry‚ which is to follow the lines reasoning. Geometry is one of the oldest sciences and is concerned with questions
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The term ’burnout’ was first introduced by the American psychologist Herbert Freudenberger in 1974‚ to describe the state of physical and mental exhaustion among people in ’’helping professions‚’’ whose work requires contact with people in need (Sęk 7). Since this term was introduced‚ burnout research has been continued by many investigators all over the world to examine this phenomenon‚ and diverse definitions flourished as a result. One of these individuals was Christina Maslach who gathered empirical
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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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