... angles severally equal and the sides about the equal angles proportional. The Proof From the given triangle ABC which has a right angle of BAC, a perpendicular AD is drawn from point A to point B. Now because angle A is a right angle like angle BDA, and the angle B is common to ... listed below. The meanings explain their unique purposes in relation to one another. Let's explore how Euclid defines comparison and ratio of like figures. Perpendicular - This occurs when a given line is cut at a point by another line creating two parts and also two right angles. Equiangular - When ... the ...

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... use calculators during tests have no mathematical concept of the criteria given to them. In order to make sure a math problem is sufficiently precise, a calculator is a common tool used to "double-check" the answer for the problem. On a math test, there may be several difficult problems that ... using calculators on tests due to their lack of understanding of the mathematical concepts is unwarranted. Since tests are mostly based on precision, the calculator is a common tool used to demonstrate precision. Most students are incapable of being a hundred percent accurate; if the student is n...

• Word Count: 517
• Approx Pages: 2
• Grade Level: Undergraduate

... use calculators during tests have no mathematical concept of the criteria given to them. In order to make sure a math problem is sufficiently precise, a calculator is a common tool used to "double-check" the answer for the problem. On a math test, there may be several difficult problems that ... using calculators on tests due to their lack of understanding of the mathematical concepts is unwarranted. Since tests are mostly based on precision, the calculator is a common tool used to demonstrate precision. Most students are incapable of being a hundred percent accurate; if the student is n...

• Word Count: 523
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• Grade Level: Undergraduate

... the x -value of the first point from the x-value of the second point. This will be the "run". For the example points, the slope is one. Parallel and Perpendicular Lines For parallel and perpendicular lines, the slopes have to be in certain relation to each other. To get a parallel line, the slopes of two lines have to be the same. Yes, that ... 's all! If the slopes of two lines are two, then they are both parallel. On the other hand for perpendicular lines the slopes have to be total opposites. If one line has a slope of two, then the slope of a line perpendicular to it would be the rec...

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• Grade Level: High School

... those things end up being positive. If you take a vote the majority of the students would prefer calculators over a pencil, paper, and the use of their brains. First of all, a calculator saves time by allowing a student to answer a problem faster. The reason of this, is because, if a teacher assign a student about twenty to thirty minutes to complete only thirty problems the ... and multiply, divide, or convert it into a smaller number quicker and easier. By contrasting the mind of a student and a chip of calculator, a calculator thinks a hard problem is easy while we are thinking it is...

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... machine was finally reconstructed in working fashion in 1960. It was however, in 1642 that Blaise Pascal was credited for building the first commercial calculator, a hand powered adding machine, the Pascaline. Although it was more limited than the calculating clock it became better known. It was then ... were several multiplying calculators built each a little different and a little better. It was in 1889 that Dorr E. Felt built the first printing desk calculator. Then came the 1890 US census which was projected to take more than 10 years to tabulate thus running into another census peri...

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• Grade Level: High School

... it could not have come any sooner, but I didn't mind I knew I was ready for this test. I had all the materials I needed three sharpen pencils, calculator, and my brain. As I sat patiently waiting for my math teacher to pass out the test, I began to repeat formulas and steps in my head. My ... a rush I wrote down the answer and the same with the second problem. When I came upon a more difficult problem I turned to my calculator for the answer, I typed the numbers but something wasn't quite right, I punched in the numbers again and nothing was showing up, my ... calculator had gone dead. ...

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... spread his feet apart so that there was equal weight distributed on the feet. The patient's arms were both on the lateral side of the body. The central ray was perpendicular to the center of the image receptor and entering to one inch inferior to coracoid process. The patient's left arm was rotated externally with the hand supinated. This was done ... spread his feet apart so that there was equal weight distributed on the feet. The patient's arms were both on the lateral side of the body. The central ray was perpendicular to the center of the image receptor and entering to one inch infe...

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... now able to fit in the palm of your hands. Also calculators are able to do a lot more complicated problems today, and display them on much larger screens (example: graphic calculator) One of the early calculating tools were called "The Abacus". It was a simple instrument for working on math problems. It was used by many cultures and dates back to ancient ... man called William Oughtred invented it in the early 1600's. The slide rule made multiplication and division much easier. Engineers and scientists used the slide rules until the invention of calculator in the early 1970's. Until the...

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... classes. Most classes require textbooks and additional material to be purchased. For a class like Algebra, a graphing calculator is required. The tablet would be the single source for all the students information. Instead of buying a calculator, the tablet has a application that has the same functions as a graphing calculator. There are thousands of applications and books available that would save the student time and money ... ...

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... , 1997). Gottfried Leibnitz and Blaise Pascal were the next two people in the history of artificial intelligence. Pascal was 19 years old in 1642 when he invented an eight-digit calculator, the Pascaline. (Mechanical Calculator, n.d.). In 1694 Gottfried Liebnitz invented the Liebnitz Computer, which multiplied by repetitive addition, an algorithm still in use today. Leibnitz also conceived of a reasoning ... calculator for interpreting an evaluating concepts. (Step Reckoner, n.d.) Jumping forward a few hundred years to Joseph-Marie Jacquard. In 1805 Jacquard invented the first truly prog...

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... to programming rules memory. The abacus made an idea for created a computer. Blaise Pascal was the one the credit for building the first digital computer. He invented the numerical wheel calculator that adds entered with dials to help his father with his duties. Pascaline also created by him which used eight movable dials to add sum up to eight figures long ... Leibniz invented a computer that had a special step system gear mechanism for the addend digit, and it was build in the 1694. When Thomas of Colmas created the first successful mechanical calculator that could add, subtract, mult...

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... nearly 12 centuries for the next remarkable advance in computing to appear. In 1642, Blaise Pascal (1623-1662), the 18-year-old son of a French tax collector, invented a numerical wheel calculator to help his father at work. This rectangular box, also called a Pascaline, used eight movable dials to add sums up to eight figures long. The weakness of Pascal's device was ... kept secret until decades after the war. It was the American who produced some achievement. Howard H. Aiken (1900-1973), a Harvard engineer working with IBM, succeeded in producing an all-electronic calculator by 1944 ...

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... for the equivalency point. First, drawing two tangent lines to the flat portions of the pH curve can determine the equivalency point. Next, draw perpendicular lines to the two previous tangent lines. Find the midpoint on the perpendicular lines and then connect them by a line. The point where the line intersects the pH curve is the equivalence point. To find the half ... ...

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... the ears, remembering the kick drill to keep your head connected with your spine. Make the same smooth rolling motion only this time making sure your fingers are always pointing perpendicular to the wall of the pool, beginning with the back of your arms and head slightly out of the water. Continued down your back and to your feet. When trying ... and pectoral muscles more flexible. While flutter kicking, keeping your head connected with your spine, with you arms out in front of you, with one arm, point your hand down perpendicular to the bottom of the pool. Pull back with your elbow ben...

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... of the arguments against the rotation of the earth were in the form of experiments. Such as one experiment was that a ball, when dropped from a tower, would appear to follow a perpendicular path to the surface of the earth and land directly in line with the point from which the ball was released. This was taken to conclude that the earth was ... no noticeable change when the ship is in motion. That is animals and insects will fly the same as they would normally, smoke would still rise, water will still drip perpendicular to the earth's surface and the force required to throw an object w...

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• Grade Level: Undergraduate

... the SIMM into the socket at a 30 degree angle. If adding a DIMM, insert the DIMM straight in so that it is perpendicular to the motherboard. Use slight pressure to keep a SIMM from backing out while rotating it to an upright position perpendicular to the motherboard. With a SIMM, make sure that the small holes on each side fit into the holders. Also, feel ... ...

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... added to the throw for more power. This requires lots of practice. Next is the Hammer Throw. The left foot should be in front of the right and the shoulders perpendicular to the target. The disc is held with the thumb on the top of the disc and the index finger on the inside rim of the disc. It should look ... ever-difficult right dogleg. A Strattle Putt is the final throw I will be demonstrating for you today. The right foot should be slightly in front of the left and the shoulders perpendicular to the target. Hold the disc flat with both hands while aiming. The index finger should be ...

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Force ñ The two forces acting on a skier are air resistence and gravity. Gravitational force on an inclined plane is directed toward the center of Earth. The perpendicular force to the mountain is the weight of the skier, and the parallel force is the net force of the force of the acceleration of terminal velocity and the skier ... tail of another vector. The third vector is the sum of the two vectors, or the resultant. Once the skier knows the velocity of the point when they are either perpendicular or diagonal to the slope of the mountain and the angle of their turn, the skier can then us...

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... complete the assignment. After putting my head down in my book for another five minutes I find my self bored enough to play my prehistoric video games on my calculator. Immediately after pulling my calculator out, my friend who is suffering from the same boredom begs me if he can play some games. I really don't want to, but he is my partner in ... ...

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... parallel wires on which beads are strung. All ordinary math operation could be done on it. Blaise Pascal invented the first mechanical computer in 1642 at the 19. It was a calculator that you fed numbers by turning dials. Pascal built 50 copies of his machine. Only the wealthy owned them. A German man, Gottfried Leibniz added a gearing system to enable multiplication on ... Pascal's computer. Charles Babbage of Great Britain invented the first desktop calculator. It used the same principles of the modern day computer. He worked on it for 10 years, it. The desktop computer was very elabo...

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... so it's time to turn the lights on. Since all my papers and such must be typed I have to use the computer. My math homework doesn't require a computer but definitely a calculator. We aren't doing simple equations so it becomes less a question of laziness and more "I have no idea how to do this type of math without ... a calculator." If I even knew what I slide rule looked like I probably could not imagine using one. Anyway, with my homework completed I thankfully hop into bed for the night. Tomorrow I will finally be ... ...

• Word Count: 1200
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• Grade Level: High School

... from simple addition problems to the most hardest math problems. Student's used their brain power to solve problems rather than just punching few keys either on a calculator or a computer. The problems that took couple minutes without a calculator now only take a couple of seconds because kids just press few keys and get the right answer to a problem. Then came spell checkers which notify ... ...

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... in projective geometry that contained a theorem on conic sections that was named after him. At the age of eighteen Pascal invented the adding machine, which is now known as the calculator. Pascal's main purpose was to help his father out when he was selected to be the representative of the king regarding all of the financial matters in upper Normandy. The ... principles of this adding machine were extended into a hand-cranked calculator during the 18th and 19th century, and by the 20th century, the electronic computer began to replace the adding machines. Another significant branch of m...

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... the pace with technology and modernisation. For example, the fact that in the Civil Engineering department at UCL, technical drawings are still made by hands or calculations with a basic scientific calculator, it is a sign of the discouragement of a will to keep up with modern instruments. If we consider the fact that a graduate student in engineering might not know how to operate ... AutoCAD or a graphing calculator, it is not that hard to imagine in how much trouble he/she is going to be once "ready" to get into a professional environment. Another reason of inefficiency might be ... ...

• Word Count: 675
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• Grade Level: High School