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| \end{array} | | \end{array} |
| </math> | | </math> |
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− | ==Translating a line==
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− | Suppose we are given a line <math>Ax + By + C = 0</math> and we wish to find a line parallel to it such that the distance between these two lines is <math>h</math>. To do this, we suppose that the new line has equation <math>Ax + By + D = 0</math>. Since the two lines have the same <math>A</math> and <math>B</math> value, they must be parallel (or coincident of <math>C = D</math> also). Then, the distance between them will be given by <math>\frac{|C-D|}{\sqrt{A^2+B^2}}</math>, as the previous section suggests. To obtain a value of <math>h</math> for this expression, it is not hard to see that we should choose <math>D = C \pm h\sqrt{A^2+B^2}</math>.
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| =Line segments= | | =Line segments= |