Geometry Segment 1 Notes . POLYGONS All of the figures you saw in the slideshow were polygons. A polygon is a closed figure with three or more sides. The prefix poly- means “many” while -gon means “angle.” So a polygon is a many-angled figure. 5 Sides : Pentagon 6 Sides : Hexagon 7 Sides : Heptagon 8 Sides : Octagon 9 Sides : Nonagon 10 Sides : Decagon 11 Sides : Hendecagon 12 Sides : Dodecagon A regular polygon is a many-sided figure where
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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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HYPERBOLIC GEOMETRY AND OMEGA TRIANGLES Hyperbolic geometry was first discovered and explored by Omar Khayyam in the 9th century and Giovanni Gerolamo Saccheri in the 15th century. Both were attempting to prove Euclid’s parallel postulate by proving the concept of hyperbolic geometry to be inconsistent‚ and ironically they discovered it to be a new type of geometry. It wasn’t until the 19th century that it became fully developed with help from Karl Friedrich Gauss‚ Janos Bolyai‚ and Nikolai
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Question:An architect designs two houses that are shaped and positioned like a part of the branches of the hyperbola whose equation is 625y^2 - 400x^2=250‚000‚ where x and y are in yards. How far apart are the houses at their closeset point? Answers:625y^2 - 400x^2=250‚000 y^2 / 20^2 - x^2 / 25^2 = 1 The closest two points on separate branches are the vertices‚ and their separation is 2 * 20 = 40yd. I find the question a little confusing‚ though. Question:LORAN (long distance radio navigation)
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Studying artifacts is like looking through a keyhole into the past. Although artifacts themselves cannot speak‚ a lot can be learned from studying primary documents and artifacts. For thousands of years‚ historians have been using primary documents and artifacts to make inferences about the people‚ places‚ and events that surrounded the time period. In our study of the Rixford Cemetry‚ we were able to use primary documents and artifacts to make analyses about the surrounding area. There are many
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Performance Task in GEOMETRY * Computation of the surface area‚ amount and type of needed material and the volume of the package. Volume V= L x H x W = (23 cm) (4 cm) (12cm) = (276) (4) = 1 104 cm Area A= L x W = (23cm) (12cm) = 276cm Surface Area A= 2(Lh) + 2(Lw) + 2(Wh) / 2( lh + lw + wh) = 2(23*4) + 2(23*12) + 2(12*4) = 2(92) + 2(276) + 2(48)
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Question One a) “I paid $1500 for this economics course. Therefore‚ I am going to attend the lectures even if they are useless and boring.” This is not an example of sound economic thinking. The person has stated the lectures are “useless and boring”‚ implying that there are much more “useful” and “interesting” activities which could be foregone instead of attending the lectures. In other words‚ the speaker is not achieving maximum utility by attending the lectures. In this situation‚ the economic
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RELATED KEYWORDS: unemployment|silver|Gold|Federal Reserve|bullion market|bullion Gold down by Rs 40 on poor demand Email this article Print this article Share on Reditt Newsvine Google Bookmarks Live Bookmarks Technorati Yahoo Bookmarks Blogmarks Del.icio.us ApnaCircle Tweet The author has posted comments on this articlePTI | Oct 6‚ 2012‚ 03.20PM IST NEW DELHI: Gold continued it downward spiral for the fourth straight day in the bullion market here on Saturday by losing Rs 40 to
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is not a problem! Geometry (Ancient Greek: γεωμετρία; geo- "earth"‚ -metri "measurement") "Earth-measuring" is a branch of mathematics concerned with questions of shape‚ size‚ relative position of figures‚ and the properties of space. Geometry is one of the oldest mathematical sciences. Initially a body of practical knowledge concerning lengths‚ areas‚ and volumes‚ in the 3rd century BC geometry was put into an axiomatic form by Euclid‚ whose treatment—Euclidean geometry—set a standard for many
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C OORDINATE GEOMETRY COORDINATE GEOMETRY 155 7 7.1 Introduction In Class IX‚ you have studied that to locate the position of a point on a plane‚ we require a pair of coordinate axes. The distance of a point from the y-axis is called its x-coordinate‚ or abscissa. The distance of a point from the x-axis is called its y-coordinate‚ or ordinate. The coordinates of a point on the x-axis are of the form (x‚ 0)‚ and of a point on the y-axis are of the form (0‚ y). Here is a play for you. Draw a set
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