Эндрю Тэйлор – The World of Gerard Mercator: The Mapmaker Who Revolutionised Geography (страница 13)
Historic Cities Research Project http://historic-cities.huji.ac.il, The Jewish National and University Library of the Hebrew University of Jerusalem
Despite the hard work of his childhood, Mercator found he lacked basic knowledge in his early days at the university. He struggled at first in Gemma’s lectures on astronomy, he admitted later, because he lacked the mathematical knowledge to grasp the arguments, so he went off alone with his geometry textbooks to follow through the logic of the classical mathematicians.
He started by teaching himself elementary geometry from the books of Gemma’s Friesland countryman Johannes Vögelin, which he said he easily mastered. He then tackled the first six books of Euclid, beginning with the simple, basic definitions – that a line has length but no breadth, for instance, or that a surface has only length and breadth – and gradually building up his understanding of Euclid’s theoretical arguments about lines, points, circles, triangles, and the relationships between them. Mercator’s method was to take a complex geometric proposition and follow it logically, stage by stage, continually referring back to earlier theorems as he went. In Book IV, for instance, he worked painstakingly through Euclid’s seventeen-hundred-year-old instructions for fitting a straight line into a circle, and in Book VI, he followed through the proof that a straight line drawn through a triangle parallel to one side will cut the other two sides in equal proportions. Each proposition built upon the ones before it, so that by the time he had finished, he had mastered the technique of theoretical reasoning to the point where he could follow Gemma’s lectures and understand the principles of triangulation. Mercator shrugged off this minor achievement: “In a few days, I got to the point where there was nothing in the six books that I had not diligently studied and learned,” he wrote later.6
He worked alone but turned to Gemma for help and advice whenever he found himself puzzled by Euclid. In a mark of singular favor, he was invited for private tuition in Gemma’s house as one of
His influence over the young student went farther. Euclid was entirely theoretical – the study of logical argument as much as lines, triangles, and circles – but Mercator’s interest, like that of Gemma, was engaged from the start in its practical use. “In geometry, I only pursued those studies that were to do with measuring, the location of places, the laying out of maps, the dimensions of territories, and finding the distances and sizes of celestial bodies,” he reminisced when he was sixty-nine years old in a letter to a Swiss Protestant pastor, offering advice on how a child might be taught geometry. “In mathematics, I directed my studies to cosmography alone.”7 His aim throughout was to improve his skills as a geographer, surveyor, cartographer, and astronomer.
He had other interests as well – interests that went far beyond the apparently innocent theories of geometry and took him into areas on which Aristotle and the Church had laid down unshakable rules. Ever since his boyhood in Rupelmonde, Mercator had been fascinated by the natural world, but at Leuven his interest was piqued by nature in its widest sense – not just in plants and animals but in the shape of the world and the universe. He built on his studies of Euclid to understand the movements of the stars and planets, as he described years later: “The contemplation of Nature delighted me marvellously, because she teaches us the causes of all things, the sources of all knowledge. But I delighted particularly in the study of the creation of the world, which shows us the beautiful order, the harmonious proportion, and the singular beauty which is there to be admired in all created things.”8 He saw no clash with his religious belief; to study Creation was a way to understand and appreciate its wonder, not a challenge to divine power.
The university authorities, though, were not as confident that such contemplations were free of heresy. For them, the Earth was the focus of the universe, the unequivocal center of everything, and arguments about order, proportion, and beauty were at best irrelevant and at worst a direct challenge to Holy Writ.
Aristotle had also taught that the
For several hundred years, the physical reality of Aristotle had been accepted as fitting most closely with the Christian belief in an all-powerful, eternal Creator; experimentation, measurement, and empirical questioning that might throw Aristotle’s conclusions into doubt were not allowed by the Church. The challenge to Aristotle was as much part of the Reformation as were the attacks on corruption in the Church. Luther’s delight when he declared triumphantly, “Aristotle is going downhill, and perhaps he will go all the way down into hell,”9 reflected Aristotle’s position as one of the Catholic Church’s central pillars against reform. Revolution was no less threatening to the authorities because it was in the mind; pull one brick from the towering building of medieval philosophy, faith, and theology, they believed, and the whole structure might come tumbling down.
FOR TWO YEARS Mercator continued quietly with his studies, avoiding any clash with the authorities, until he was awarded his
Many years later, Mercator admitted that as a young man at Leuven, he had begun to have his first doubts about the wisdom of the philosophers, and to believe that the contemplation of nature, science, and the natural world might offer a better insight into God’s will. “When I understood how the world of Genesis and Moses did not agree in many ways with Aristotle and the rest of the philosophers, then I began to doubt the truth of all the philosophers, and to test it against the mysteries of nature.”10 Those words about his youthful doubts, taken from a treatise on Genesis published after his death, seem calm and judicious, but his actions at the time suggested that they hid an agonizing mental struggle.
Almost certainly, it was with these cogitations on the incompatibility of Aristotle and Genesis that the first seeds of Mercator’s lifelong interest in synthesizing the various ancient and medieval accounts of history were sown. Whether his thoughts were written down for eventual publication or not, they were to develop more than thirty years later into his
The reasons behind his decision to leave Leuven will never be known for certain, nor will the reaction of his great-uncle, who had spent so many years building his own career in the Church and keeping quiet about his reformist ideas. Mercator was not expelled – he claimed later11 that he left “alone, and of my own volition” – and he kept open the option of returning to the university. Perhaps he had no clear idea at the time of what he would do or how he would live outside the walls of the College of the Castle. Yet in choosing Antwerp as his destination, he threw his religious belief, his academic future, even his life into jeopardy.