... well known all over the world for formulating the Pythagorean Theorem although its fundamental principles were already recognized earlier. The theorem states that the square of the hypotenuse of a right angle triangle is equal to the sum of the squares of the other two sides. Pythagoras was an extremely skilled young man, who was influence by three main philosophers as a young ... also developed some important ideas in astronomy. He believed that the earth might be round. How was he so sure about his hypothesis? Because he was very advanced at arithmetic, geometry in particular he was a...

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... the center of the universe and all planetary motions, the displacement was minimal and was considered a slight bending of the rule rather than a violation. Ptolemy devised new geometrical proofs and theorems. Ptolemy constructed many major works about mathematical theories about the universe and planets. His most important and earliest works is called the Almagest, which gives detail of the mathematical theory ... ...

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... the center of the universe and all planetary motions, the displacement was minimal and was considered a slight bending of the rule rather than a violation. Ptolemy devised new geometrical proofs and theorems. Ptolemy constructed many major works about mathematical theories about the universe and planets. His most important and earliest works is called the Almagest, which gives detail of the mathematical theory ... ...

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... pull of the sun. It would then leave the solar system. Parabolas are the orbital paths of objects in the form of an open curve. If one cuts out an angle in a circular cone, it would follow this path parallel to the sides of the cone. Hyperbolas occur when a plane cuts across two parallels half-cones. Kepler's laws applies to any ... with aluminum coating. I would make the mirror concave in order to collect light to a point and then reflect it to a secondary mirror. I would turn the secondary mirror to a 45-degree angle and would build the eyepiece onto the side so that the light will co...

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• Grade Level: High School

... in the fact that heat is produced when air is compressed in front of the meteor. Sometimes the intense heat vaporizes the meteors creating a shooting star. Composition, speed, and the angle of entry are three characteristics that decide whether the meteor will break or hold together. A meteor coming at an intense speed and an oblique ... angle suffers tremendous stress (amsmeteors.com). A meteor made of iron (91% iron, 8.5% Nickel and 0.6 Cobalt) can hold its shape easier than one created by stone (36% Oxygen, 26% Iron, 18%Silicon, ... ...

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... twin compasses are described as two only in the sense that there are two legs joined permanently at the top. Here Donne is referring to the mathematical instrument used in geometry. One leg, "the fixed foot-, is planted firmly in the center (27). The other "travels,"" describing a perfect circle, returning to its point of origin. The "fixed foot- of the center ... ...

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... of the earth as the center of the universe. Ptolemy rejected Pythagoras" theory, and claimed that the sun was the center of our universe. Hipparchus created a theory based on the geometry of circles. He believed that the sun and moon moved around Earth in a circle, and the Earth was not the center of the universe. Ptolemy was the most influential philosopher ... ...

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... red," and the passengers are instantly convinced, immediately changing the colors of their tracksuits to red. Blue and red are the colors of BnL's logo. By using a low camera angle, Stanton empowers the Autopilot, removing power from the captain, showing BNL's control over its 'staff'. Another technique used is camera movement, portrayed when the camera pans across photos of ... ...

• Word Count: 1222
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• Grade Level: Undergraduate

... red," and the passengers are instantly convinced, immediately changing the colors of their tracksuits to red. Blue and red are the colors of BnL's logo. By using a low camera angle, Stanton empowers the Autopilot, removing power from the captain, showing BNL's control over its 'staff'. Another technique used is camera movement, portrayed when the camera pans across photos of ... ...

• Word Count: 1222
• Approx Pages: 5
• Grade Level: Undergraduate

... , enter your opening into the earth. Go down through the opening and enter the tunnel. At first the tunnel might be dark and dim. It might go underground at a slight angle, or it might descend steeply. Sometimes the tunnel appears ribbed, and often it bends. Occasionally one passes through the tunnel so fast that it is not even seen. In following ... ...

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... tide. Neap tides are weak, the variation in water depth is smaller than average. These tides occur when the gravitational forces of the sun and moon are at a 90-degree angle with respect to the earth and during quarter moons. Proxigean spring tides are very extreme and rare tides when the new moon is unusually close to the earth, this happens ... ...

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... time. There are numerous geological similarities between eastern South America and western Africa. Paleomagnetism tells us how far from the poles rocks were when they formed, by looking at the angle of their magnetic field. Apparent contradictions can only be explained if we assume the continents have moved over time. In 1620, Francis Bacon noted that the west coast of Africa ... ...

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... (as cited in Branley 1988 p. 43). All comets begin their journey as long- period types. Gravitational fields of planets then capture long- period comets. Comets can have orbits at any angle because they can come from any region. Once comets are captured, they fall into line with the movement of planets, staying close to the ecliptic, orbiting the sun in the ... ...

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... -fueling robots, robots that have the capability to fuel them selves, to harness the heat of the core, ice asteroids from the asteroid belt sent through the atmosphere at an angle where it would not hit the surface, but it would burn up in the atmosphere creating hydrogen, oxygen, and water. All these things needed for the terraforming process. There are ... ...

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... orbit around the sun in exactly the same position as Copernicus', yet persisted the traditional earth-centered view by introducing parallax "i.e. the sun revolves around the earth in a different angle from the rest of the planets. One can argue the role Tycho played, since, today's technology has proven earth is not the center of anything. However, many later scholars favored ... ...

• Word Count: 620
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• Grade Level: Undergraduate