{2(\gamma-1)}}{Mth_0}$$

    The ratios for <i>Mth<sub>1</sub></i> are determined using the same equations, with
    <i>Mth<sub>1</sub></i> instead of <i>Mth<sub>0</sub></i>. The error between the actual area ratio
    and these values is determined by the following:

    $$err_0 = \textit{Ath_o_Acr - Ath_o_A}cr_0$$

    Likewise, the error between <i>Ath_o_Acr</i> and <i>Ath_o_Acr<sub>1</sub></i> is determined
    by the same equation, using <i>Ath_o_Acr<sub>1</sub></i> in place of <i>A_th_o_Acr<sub>0</sub