He gave a full treatment of the equation a x 2 + b y 2 + c z 2 = 0 {\displaystyle ax^{2}+by^{2}+cz^{2}=0} and worked on quadratic forms along the lines later developed fully by Gauss.
Deu un tratamento completo á ecuación a x 2 + b y 2 + c z 2 = 0 {\displaystyle \scriptstyle ax^{2}+by^{2}+cz^{2}=0} e traballou nas formas cadráticas seguindo as liñas que máis tarde foron desenvolvidas completamente por Gauss.