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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Geometric constructions involve drawing geometric shapes that satisfy certain requirements (onlinemathlearning.com). The main focus in construction is on equidistance and co-linearity. This is done through the use of certain tools namely the compass and the straight edge. It is used to construct angles‚ planes figures and segments. This mathematical skill is applicable in many fields such as architecture‚ engineering and construction just to name a few. Base on the fact that geometric construction
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Geometry Manipulatives Kedra Smith MAT/157 October 23‚ 2014 Leslie Blackerby Geometry Manipulatives The geometry manipulative activity that I have come up with is one that will be rather informative and intriguing at the same time. The concept of the game will be for children to become familiar with all of the geometry shapes there are so that when future assignments are given they will be able to identify the shape and be successful in their learning. The activity that I have created is called
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1 (a) Show that = tan θ. (b) Hence find the value of cot in the form a + ‚ where a‚ b . 2 If x satisfies the equation ‚ show that 11 tan x = a + b‚ where a‚ b +. 3 The graph below shows y = a cos (bx) + c. Find the value of a‚ the value of b and the value of c. 4 The diagram below shows two concentric circles with centre O and radii 2 cm and
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Geometry is important for many reasons. It is used in almost all bases of life‚ including shopping‚ driving‚ work‚ and especially school. It is used most all the time too‚ not just every now and then‚ more like all the time. Geometry is used while shopping at the store. You use it to pick out an item that is not dented. Geometry is used to tell whether a fruit or vegetable is rotten‚ or out of shape. Knowing geometry‚ you can pick out the most plump and nutritious items to eat. When you choose a
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Geometry is simply the study of space. There are Euclidean and Non-Euclidean Geometries. Euclidean geometry is the most common and is the basis for other Non-Euclidean types of geometry. Euclidean geometry is based on five main rules‚ or postulates. Differences in these rules are what make new kinds of geometries. There is Euclidean‚ Elliptic‚ and Hyperbolic Geometry. Euclidean geometry is the study of flat space and was invented by Euclid‚ a mathematician from Alexandria‚ in 330 B.C. Euclid described
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"The applications of geometry in real life are numerous. Nearly everyday people are faced with major and minor issues that require the use of geometry. Some of these include finding the square footage of a home‚ determining the volume a container or deciding how much tile is needed to put in a new kitchen floor. The square footage in a home is often determined by length and width of each room combined from the exterior walls. Without geometry we would never know how much square footage of paint to
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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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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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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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