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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1. Interests “Sixthly‚ he would be surprised to hear that the mechanism of the watch was no proof of contrivance‚ only a motion to induce the mind to think so.” (Page 56) William Paley confidently suggests that there must have been a designer to make such a complex piece of machinery due to the undeniable fact that‚ to make something so complex‚ a well thought out plan is needed. A watch has intricate components that have a distinct shape and position within the watch. According to Paley‚ all
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Active Water-Wave Absorber Matthew Carney ME236: Control & Optimization of Distributed Parameters Professor Alex Bayen University of California‚ Berkeley 04.30.2007 UC Berkeley‚ Spring 2007 1 Contents • • • • • • Motivation Initial Idea Literature Search Focus Current Work Future Work www.emec.org.uk UC Berkeley‚ Spring 2007 2 Motivation • Significant amounts of energy is stored in the ocean • Large potential for extracting energy from waves • Control is the key to optimizing
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Is Hamlet’s distress understandable? Why does he fail to act until too late? Is his inaction due to a tragic flaw? Until relatively recently‚ critics tended to assume that the causes of tragic misfortune resided in some moral defect of the protagonist. Aristotle’s term hamartia (derived from “fault‚” “failure‚” guilt” but literally meaning to “miss the mark”) was often translated as “tragic flaw‚” leading critics to seek the chink in the hero’s armour (such as pride or ambition) which leads to
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PART A It is hypothesised the strongest method for curing eye defect is Gas permeable contact lenses (GP lenses). These lenses are able to maintain their shape instead of adapting to the shape of the cornea due to its firm oxygen permeable material. The lenses can provide improved vision‚ deposit resistance and are inexpensive as they are long lasting. PART B Myopia and Hyperopia are both conditions caused by refractive errors in the eye and possess an array of symptoms PART C Vision is able to
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center of Moscow. – was the city’s tallest building until the completion of the Ivan the Great Bell Tower in 1600. – Built on orders from Ivan the Terrible Ottoman • "Star Ushak" carpet – Made of wool – influenced by northwest Persian – The blue medallions on the red ground are the traditional colors of these carpets. Mughal • Nilgai (blue bull): Leaf – Ink‚ watercolor‚ and gold on paper – As Jahangir wrote in his diary‚ his great-grandfather Babur had only described what he saw‚ while he himself
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same creaking sound that seemed to never stop reverberating through the house. The same heavy footsteps pounded in the foyer; a sigh escaped from Louise Millard’s lips‚ knowing she’d have to clean up the stains her husband’s filthy shoes left on the carpet‚ despite her repeatedly telling him not to wear his shoes in the house. Brently Mallard had never been very good at listening to her anyway. She was standing in the kitchen when he slammed the front door shut‚ shaking the family pictures that hung
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Place When I was a little girl I dreamed of the most extraordinary room in my mind. Being one of the four kids having my own was just a fantasy I imagined to escape reality. The reality of my little room shared with my younger sister. The room had carpet‚ wood panel walls‚ and a white ceiling with bright lights. The room had two windows the length of a chair. The closet was small and pointless. The worst feature was no door. But as a child I understood that this was all my parents could afford at
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Remember ‘Remembrance Day?’ I sat cross-legged on the blotchy carpet‚ splattered with an abstract painting. My elbow rested on the dent in my knee. My fingers touched the fluffy texture beneath me‚ tracing the scattered shapes. Beside me‚ Jenny sat with her legs unfolded‚ her body was leant back‚ making her amber hair droop across her shoulders‚ with her arms propping herself up. Her skin contrasted with the dark orange carpet; her eyes fluttered around the room‚ where a group of girls sat in
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International Carpet Wholesalers Literature: C. Sawyer-Lauçanno‚ Case Studies in International Management‚ Prentice Hall‚ 1987 Case 9: International Carpet Wholesalers Objective: To acquaint students with a problem frequently present in dealing with developing countries‚ i.e. worker exploitation‚ and the response of developed countries to it. Time and activities plan: 1. week 1 1. Read and study Background‚ Dialogue‚ Exhibits and Supporting
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