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on a straight line. We imagine a line, and choose one point on this line, which we call the origin. We also decide which direction we call \left" and hence which we call \right." Some draw the number line vertically and use the words \up" and \down." To plot any real number xone marks o a distance xfrom the origin, to the right (up) if x>0, to the
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•find the equation of a straight line, given its gradient and one point lying on it; •find the equation of a straight line given two points lying on it; •give the equation of a straight line in either of the forms y = mx+c or ax+by +c = 0. Contents 1. Introduction 2 2. The equation of a line through the origin with a given gradient 2 3.
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slides is a transformation that a figure across a plane or through space. With translation all points of a figure move the same distance and the same direction. Basically, translation means that a figure has moved. An easy way to remember what translation means is to remember... TRANSLATION IS A CHANGE IN LOCATION.
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Sometimes vectors are referred to a fixed point, an origin. Such a vector is called a position vector. So we might refer to the position vector of a point P with respect to an origin O. In writing, might put OP for this vector. Alternatively, we could write it as r. These two expressions refer to the same vector. r O P 4. Some notation for vectors
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In mathematics, the origin of a Euclidean space is a special point, usually denoted by the letter O, used as a fixed point of reference for the geometry of the surrounding space. In physical problems, the choice of origin is often arbitrary, meaning any choice of origin will ultimately give the same answer.
1 Brief course description Complex analysis is a beautiful, tightly integrated subject. It revolves around complex analytic functions. These are functions that have a complex derivative.
•find the equation of the tangent to a circle through a given point on its circumference; •decide whether a given line is tangent to a given circle. Contents 1. Introduction 2 2. The equation of a circle centred at the origin 2 3. The general equation of a circle 4 4. The equation of a tangent to a circle at a given point 7 www.mathcentre ...
