The Book of Lemmas Proposition 6 - Maple Help

The Book of Lemmas: Proposition 6

 Main Concept Let AB, the diameter of a semicircle, be divided at point C so that . If DE is the diameter of the circle inscribed in the arbelos which is tangent to all three semicircles, then  .

Adjust the slider, or click and drag on the plot to change the ratio of $\frac{\mathrm{AC}}{\mathrm{AB}}$. Observe the values on the right which validate this proposition.

  AB = 2 AC = CB = DE =      k = =   Therefore: $\frac{k}{{k}^{2}+k+1}$ = $\frac{\mathrm{DE}}{\mathrm{AB}}$ = ratio $\frac{\mathrm{AC}}{\mathrm{AB}}$ = 

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