Let m be a line, \color{blue}{A} and \color{red}{B} two points. For each point \color{#999900}{Q} on m, find the point \color{purple}{C_Q} on the normal to \color{#999900}{m} at \color{#999900}{Q} such that the length of \color{purple}{\overline{C_QQ} } is the sum of the lengths of \color{blue}{\overline{AQ} } and \color{red}{\overline{BQ} } , i.e.   δ( \color{purple}{C_Q} , \color{#999900}{m})= \color{purple}{|\overline{C_QQ}| = } \color{blue}{|\overline{AQ}| } + \color{red}{|\overline{BQ}| } .
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