**Table 2:** Estimates of critical angles, ${\theta }_{\rm cs}$ and ${\theta }_{\rm cf}$ and their errors in equal subsamples binned by $L_{[\rm O~III] }$ . The first line of the table refers to the two sets of binned data, and the second line shows results of three sets of binned data.
$\begin{table} \begin{displaymath} \begin{array}{ccccccccccc} \hline\hline \no... ...4 & \\ \noalign{\smallskip } \hline \end{array} \end{displaymath}\end{table}$

Columns: (1) - the number of bins; (2) - [O III] luminosity bin width; (3) - logarithm of the central value of the $L_{[\rm {O III}]}$ in the bin; (4, 5) - number of radio galaxies and quasars in the $\log L_{[{\rm O III}]}$ bin; (6) - the half opening angle of the torus estimated by fraction of quasars (Eq. (1)), and its standard error $\sigma_{{\theta}_{{\rm cf}}}$ is calculated assuming that $\sigma_{N_{\rm G+Q}} = \sqrt{N_{\rm G+Q}}$ and $\sigma_{N_{\rm Q}}=\sqrt{N_{\rm Q}}$ ; (7) - the confidence level of rejecting the null hypothesis that half opening angles ${\theta }_{\rm cf}$ of the torus estimated in different $L_{[\rm O~III] }$ bins are equal. The variance analysis (the Fisher test) is used with two degrees of freedom, $N_{\rm bin}-1$ and $N_{\rm bin}(N_{\rm G+Q}-1)$ ; (8, 9) - the mean linear sizes of all sources (radio galaxies and quasars) and quasars, and their standard errors; (10) - the half opening angle of the torus and its standard error from Eqs. (7) and (8); (11) - the confidence level for rejecting the null hypothesis that half opening angles ${\theta }_{\rm cs}$ of the torus are equal in different $L_{[\rm O~III] }$ bins.

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	1 Introduction
	2 Equations for the opening angle of the torus
	3 The sample and selection criteria
	4 Relations for the torus opening angle
	5 Discussion and conclusions
	Appendix: Equation for estimating the critical viewing angle
	References