Archibald, one of the founders of the Cambridge Mathematical Journal, studied Law at Glasgow University from 1828, and then at Trinity College, Cambridge, where he was Senior Wrangler (the top mathematics undergraduate at Cambridge University in England).
The cause of the Analytical Society had now triumphed, and the Cambridge Mathematical Journal had been instituted by Gregory and Robert Leslie Ellis. To this journal, at the age of twenty, Cayley contributed three papers, on subjects that had been suggested by reading the Mecanique analytique of Lagrange and some of the works of Laplace. 
