| 摘要 |
A coordinate system defines the length of the curve of a parabola used in constructing a parabolic trough reflector. The origin (0,0) of the coordinate system is at the bottom center of the coordinate system. The two upper points of the coordinate system define the width, height of the parabola. These points are defined as (X1,Y1)=(-width,height), and (X2,Y2)=(width,height). The equation defining the parabola is f(x)=a.x2, where a=height/width2. The plot of this equation produces a parabola that fits into the coordinate system. Two small blocks are used as anchor points for the ends of the parabola. The length of the curve of the parabola is defined in the equation: length(x)=a.[x.(√{square root over (x2+b2)})+b2.ln(x+√{square root over (x2+b2)})] where b=1/2.a. An inexpensive trough reflector is constructed out of flexible material. It is used to build a much more complicated six reflector system to concentrate parallel radiation like sunlight much like a magnifying glass. This system also forms the basis for building a much more powerful telescope.
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