\input zb-basic \input zb-matheduc \iteman{ZMATH 2013a.00710} \itemau{Klepancov\'a, Michaela; Varga, Marek} \itemti{On Euler's geometrical substitutions. (O Eulerov\'ych substit\'uci\'ach geometricky.)} \itemso{Obz. mat. fyz. inform. 41, No. 4, 5-14 (2012).} \itemab Summary: The article deals with Euler's substitutions as general techniques of integration of irrational functions. Although for finding the indefinite integral of these functions it is sufficient to know their form we go deeper in the understanding of the substitutions and try to interpret their geometrical character. Based on that we derive their form. \itemrv{~} \itemcc{I55} \itemut{substitution; irrational functions; indefinite integrals} \itemli{} \end