Some remarks are made on Cormack's method and on the possibility of its application to two‐dimensional angular correlation of positron annihilation radiation data. The fulfilment of the consistency condition is studied on the example of the experimental data. It is shown that this condition, imposed on the experimental data, improves them making additional advantage of Cormack's method. Some remarks concerning a way of practical using this method are given. Test reconstructions for two anisotropic models and for positron annihilation data are presented. It is demonstrated that even strongly anisotropic model densities can be reproduced from a small number of their linear projections.