The 4-jet events collected by the DELPHI experiment at LEP1 in 1992LEP1 in , 1993LEP1 in and 1994 are analysed to determine the contribution of the triple-gluon vertex. Two of the four jets are tagged as jets from b-o r c -quarks using lifetime and lepton transverse momentum information. The 4-jet contributions from doublegluon bremsstrahlung, the triple-gluon vertex, and secondary quark-antiquark pair production then yield signi cantly di erent t w o-dimensional distributions in the generalized Nachtmann Reiter angle versus the opening angle of the two secondary jets. These distributions are used to t C A =C F , the ratio of the coupling strength of the triple-gluon vertex to that of gluon bremsstrahlung, and N C =N A , the ratio of the number of quark colours to the number of gluons, giving