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Titlebook: Geometry; A High School Course Serge Lang,Gene Murrow Textbook 1988Latest edition Springer Science+Business Media New York 1988 Area.DEX.Ma

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Coordinates,In more elementary courses you have already studied the number line, and so you already know that once a unit length is selected, we can represent points on a line by numbers. In Figure 2.1 we have drawn such a line and a few points.
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The Distance Formula,We shall apply the Pythagoras theorem to give us a formula for the distance between two points in terms of their coordinates. We are given a coordinate system, which we draw horizontally and vertically for convenience.
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Congruent Triangles,In previous chapters we have considered triangles which have special features like isosceles triangles or equilateral triangles. Now we come to studying arbitrary triangles.
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Vectors and Dot Product,Consider an airplane flying through a crosswind.
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Isometries,Some mappings which we have discussed have a special property which will first be illustrated in the Experiment.
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https://doi.org/10.1007/978-1-4757-2022-8Area; DEX; Mathematica; Microsoft Access; Volume; algebra; boundary element method; form; geometry; mathemati
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978-1-4419-3084-2Springer Science+Business Media New York 1988
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