Table 1.

Reflection design points. Note that $\varphi =({\gamma }_B\text{/}{\gamma }_A{)}^{\beta }$ and that the following percentage pairs are such that they sum to one: $({\pi }_{A1},{\pi }_{A2})$, $({\pi }_{B1},{\pi }_{B2})$, $({\pi }_{A3},{\pi }_{B4})$, $({\pi }_{A4},{\pi }_{B3})$.

Point on Figure 2	Abscissa ( $x$)	Percent ( $\pi$)
$A_1$ (obtained via lower cut line)	$x_{A1}={\gamma }_A\times (t^{\ast }{)}^{1/\beta }$	${\pi }_{A1}={\displaystyle \frac{t^{\ast }}{1+t^{\ast }}}$
$A_2$ (obtained via upper cut line)	$x_{A2}={\displaystyle \frac{{\gamma }_A}{{(t^{\ast })}^{1/\beta }}}$	${\pi }_{A2}={\displaystyle \frac{1}{1+t^{\ast }}}$
$B_1$ (obtained via lower cut line)	$x_{B1}={\gamma }_B\times (t^{\ast }{)}^{1/\beta }$	${\pi }_{B1}={\displaystyle \frac{t^{\ast }}{1+t^{\ast }}}$
$B_2$ (obtained via upper cut line)	$x_{B2}={\displaystyle \frac{{\gamma }_B}{{(t^{\ast })}^{1/\beta }}}$	${\pi }_{B2}={\displaystyle \frac{1}{1+t^{\ast }}}$
$A_3$ (reflection point)	$x_{A3}=x_{B1}$	${\pi }_{A3}={\displaystyle \frac{\varphi t^{\ast }}{1+\varphi t^{\ast }}}$
$A_4$ (reflection point)	$x_{A4}=x_{B2}$	${\pi }_{A4}={\displaystyle \frac{\varphi }{\varphi +t^{\ast }}}$
$B_3$ (reflection point)	$x_{B3}=x_{A1}$	${\pi }_{B3}={\displaystyle \frac{t^{\ast }}{\varphi +t^{\ast }}}$
$B_4$ (reflection point)	$x_{B4}=x_{A2}$	${\pi }_{B4}={\displaystyle \frac{1}{1+\varphi t^{\ast }}}$