  We report the magnetic properties of two Eu based compounds, single
crystalline EuIrGe$_3$ and EuRhGe$_3$, inferred from magnetisation, electrical
transport, heat capacity and $^{151}$Eu M\"{o}ssbauer spectroscopy. These
previously known compounds crystallise in the non-centrosymmetric, tetragonal,
$I4mm$, BaNiSn$_3$-type structure. Single crystals of EuIrGe$_3$ and EuRhGe$_3$
were grown using high temperature solution growth method using In as flux.
EuIrGe$_3$ exhibits two magnetic orderings at $T_{\rm N1}$ = 12.4 K, and
$T_{\rm N2}$ = 7.3 K. On the other hand EuRhGe$_3$ presents a single magnetic
transition with a $T_{\rm N}$ = 12 K. $^{151}$Eu M\"{o}ssbauer spectra present
evidence for a cascade of transitions from paramagnetic to incommensurate
amplitude modulated followed by an equal moment antiferromagnetic phase at
lower temperatures in EuIrGe$_3$, the transitions having a substantial first
order character. On the other hand the $^{151}$Eu M\"{o}ssbauer spectra at 4.2
and 9 K in EuRhGe$_3$ present evidence of a single magnetic transition. In both
compounds a superzone gap is observed for the current density $J\parallel$
[001], which enhances with transverse magnetic field. The magnetisation
measured up to 14 T shows the occurrence of field induced transitions, which
are well documented in the magnetotransport data as well. The magnetic phase
diagram constructed from these data is complex, revealing the presence of many
phases in the $H-T$ phase space.
