Total nuclear reaction cross-sections are determined by means of a 4 re-7 method. The results cover a wide span of targets for various stable beams. The validity of the method is shown in a combined systematics including also the results of transmission-type experiments. The data are very well described by the formula developed by Kox et al. The same method is applied to secondary fragment beams produced from a 44 MeV/u 22Ne beam on a 332 mg/cm 2 181Ta target. Using the LISE spectrometer the fragments 4'6He, [6][7][8][9][7][8][9][10][11][12] are analyzed and transported to interact with a 199.4 mg/cm 2 Cu target surrounded by a 4rc-7 counter. The measured total reaction cross-sections oR are discussed in terms of the reduced strong absorption radius ro and compared with other experimental results.