Towards the end of 1534, the twenty-two-year-old Mercator arrived back in Leuven and threw himself into the study of geography, mathematics and astronomy under the guidance of Gemma Frisius. Mercator was completely out of his depth but, with the help and friendship of Gemma, who was only four years older, he succeeded in mastering the elements of mathematics within two years and the university granted him permission to tutor private students. Gemma had designed some of the mathematical instruments used in these studies and Mercator soon become adept in the skills of their manufacture: practical skills of working in brass, mathematical skills for calculation of scales and engraving skills to produce the finished work.
