Let \(\vartheta_{\mu,m}\) denote the classical Thetanullwerte \((\mu=0,1,\dots,(2m-1))\) and \(\vartheta_{\mu,m}^{(\nu)}\) their \(\nu\)- th derivative. The author considers the Wronskian \(D_ m(\tau)=2^{m- 1}\text{det}(\vartheta^{(\nu)}_{\mu,m})\), \(0\leq\mu,\nu\leq m\) and the classical \(\Delta\)-function \(\Delta(\tau)\) and then deduces, in an elegant way, from one of the Macdonald's identities the identity \[ D_ m(\tau)^{24}=C_ 1\;\Delta(\tau)^{(m+1)(2m+1)}. \]