Gerardus Mercator

Gerardus Mercator
GerardusMercator
Born Geert de Kremer
(1512-03-05)5 March 1512
Rupelmonde, County of Flanders
(modern-day Belgium)
Died 2 December 1594(1594-12-02) (aged 82)
Duisburg, United Duchies of Jülich-Cleves-Berg
(modern-day Germany)
Nationality Disputed See text below
Education University of Leuven
Known for 1569 World Map
Mercator projection
Atlas of 1595.
Spouse(s) Barbara Schellekens
(m.1534-d.1586)
Gertrude Vierlings (m.1589)
Children Arnold (eldest), Emerentia, Dorothes, Bartholomeus, Rumold, Catharina

Gerardus Mercator (5 March 1512 – 2 December 1594) was a cartographer renowned for creating a world map based on a new projection which represented sailing courses of constant bearing as straight lines—an innovation that is still employed in nautical charts used for navigation. In his own day he was the world's most famous geographer but, in addition, he had interests in theology, philosophy, history, mathematics and magnetism as well as being an accomplished engraver, calligrapher and maker of globes and scientific instruments.

Unlike other great scholars of the age he travelled little and his knowledge of geography came from his library of over one thousand books and maps, from his visitors and from his vast correspondence (in six languages) with other scholars, statesmen, travellers, merchants and seamen. Mercator's early maps were in large formats suitable for wall mounting but in the second half of his life he produced over 100 new regional maps in a smaller format suitable for binding into his Atlas of 1595. This was the first appearance of the word Atlas in a geographical context but Mercator used it as a neologism for a treatise (Cosmologia) on the creation, history and description of the universe, not simply a collection of maps. He chose the word as a commemoration of a King Atlas of Mauretania whom he considered to be the first great geographer. This King Atlas was a son of the Titan Atlas but the two myths very quickly coalesced.

A large part of Mercator's income came from the sales of his terrestrial and celestial globes. For sixty years they were considered to be the finest in the world, and they were sold in such great numbers that there are many surviving examples. This was a substantial enterprise involving making the spheres, printing the gores, building substantial stands, packing and distributing all over Europe. He was also renowned for his scientific instruments, particularly his astrolabes and astronomical rings used to study the geometry of astronomy and astrology.

Mercator wrote on geography, philosophy, chronology and theology. All of the wall maps were engraved with copious text on the region concerned. As an example the famous world map of 1569 is inscribed with over 5000 words in fifteen legends. The 1595 Atlas has about 120 pages of maps and illustrated title pages but a greater number of pages are devoted to his account of the creation of the universe and descriptions of all the countries portrayed. His table of chronology ran to some 400 pages fixing the dates (from the time of creation) of earthly dynasties, major political and military events, volcanic eruptions, earthquakes and eclipses. He also wrote on the gospels and the old testament.

Mercator was a devout Christian born into a Catholic family at a time when Martin Luther's Protestantism was gaining ground. He never declared himself as a Lutheran but he was clearly sympathetic and he was accused of heresy (Lutheranye). He spent six months in prison but he emerged unscathed. This period of persecution is probably the major factor in his move from Catholic Leuven (Louvain) to a more tolerant Duisburg where he lived for the last thirty years of his life. Walter Ghim, Mercator's friend and first biographer, describes him as sober in his behaviour, yet cheerful and witty in company, and never more happy than in debate with other scholars, but above all he was pious and studious until his dying days.[1]

Mercator's life

Early years

Gerardus Mercator (pronounced /ˈrɑːrdəs mərˈktər/[2]) was born Geert (or Gerhard) De Kremer (or Cremer), the seventh child of Hubert De Kremer and his wife Emerance. Their home town was Gangelt in the Duchy of Jülich (present day Germany) but, at the time of the birth, they were visiting Hubert's brother (or uncle[3]) Gisbert De Kremer in the small town of Rupelmonde in the county of Flanders (present day Belgium). Hubert was a poor artisan, a shoemaker by trade, but Gisbert, a priest, was a man of some importance in the community. Their stay in Rupelmonde was brief and within six months they returned to Gangelt and there Mercator spent his early childhood.[4]

Six years later, in 1518, the Kremers moved back to Rupelmonde,[5] possibly motivated by the deteriorating conditions in Gangelt—famine, plague and lawlessness.[6] Mercator would have attended the local school in Rupelmonde from the age of seven, when he arrived from Gangelt, and there he would have been taught the basics of reading, writing, arithmetic and Latin.[7]

The question of nationality

Mercator's nationality is contentious. In 1868, in preparation for the 300th anniversary of the famous world map of 1569, the Belgian Jean Van Raemdonck published a biography of Mercator, the Flemish geographer, in which he presented a speculative Cremer family tree with ancestors in Rupelmonde.[8] In 1869, in Duisburg, Arthur Breusing published a small book on Mercator, the German geographer, in which he claimed that the family was from Jülich, Mercator was conceived there, and consequently his birth during the visit to Rupelmonde didn't invalidate his German nationality.[9] The debate continued in 1914 when Heinrich Averdunk attacked Van Raemdonck's 'fictions' and argued that the many occurrences of the name Kremer in Jülich in the sixteenth century supported Breusing's claim that the family was German.[10] Today, many Belgians and Germans still claim Mercator as their own, despite the lack of any evidence pertaining to the birthplace and background of his father, Hubert. Most modern scholars adopt a neutral position, hesitating to assign a nationality to Mercator, but many popular accounts simply plump for one nation or another without evidence.[11]

School at 's-Hertogenbosch 1526–1530

After Hubert's death in 1526, Gisbert became Mercator's guardian. Hoping that Mercator might follow him into the priesthood, he sent the 15 year old Geert to the famous school of the Brethren of the Common Life at 's-Hertogenbosch[12] in the Duchy of Brabant. The Brotherhood and the school had been founded by the charismatic Geert Groote who placed great emphasis on study of the bible and, at the same time, expressed disapproval of the dogmas of the church, both facets of the new "heresies" of Martin Luther propounded only a few years earlier in 1517. Mercator would follow similar precepts later in life—with problematic outcomes.

During his time at the school the headmaster was Georgius Macropedius and under his guidance Geert would study the bible, the trivium (Latin, logic and rhetoric) and classics such as the philosophy of Aristotle, the natural history of Pliny and the geography of Ptolemy.[13] All teaching at the school was in Latin and he would read, write and converse in Latin—and give himself a new Latin name, Gerardus Mercator Rupelmundanus, Mercator being the Latin translation of Kremer which means merchant. The Brethren were renowned for their scriptorum[14] and here Mercator may have encountered the italic script which he employed in his later work. The brethren were also renowned for their thoroughness and discipline, well attested by Erasmus who had attended the school forty years before Mercator.[15]

University of Louvain 1530–1532

From a famous school, Mercator moved to the famous University of Louvain (or Leuven or Löwen), where his full Latin name appears in the matriculation records for 1530.[16] He lived in one of the teaching colleges, the Castle College, and, although he was classified as a pauper, he rubbed shoulders with richer students amongst whom were the anatomist Andreas Vesalius, the statesman Antoine Perrenot, and the theologian George Cassander, all destined to fame and all lifelong friends of Mercator.

The general first degree (for Magister) centred on the teaching of philosophy, theology and Greek under the conservative Scholasticism which gave prime place to the authority of Aristotle.[17] Although the trivium was now augmented by the quadrivium[18] (Arithmetic, Geometry, Astronomy, Music), their coverage was neglected in comparison with theology and philosophy and consequently Mercator would have to resort to further study of the first three subjects in years to come. Mercator graduated Magister in 1532.

Antwerp 1532–1534

The normal progress for an able Magister was to go on to further study in one of the four faculties at Louvain: Theology, Medicine, Canon Law and Roman Law. Gisbert might have hoped that Mercator would go further in theology and train for the priesthood but Mercator did not: like many twenty year old young men he was having his first serious doubts. The problem was the contradiction between the authority of Aristotle and his own biblical study and scientific observations, particularly in relation to the creation and description of the world. Such doubt was heresy at the University and it is quite possible that he had already said enough in classroom disputations to come to the notice of the authorities:[19] fortunately he did not put his sentiments into print. He left Louvain for Antwerp,[20] there to devote his time to contemplation of philosophy. This period of his life is clouded in uncertainty.[21] He certainly read widely but only succeeded in uncovering more contradictions between the world of the Bible and the world of geography, a hiatus which would occupy him for the rest of his life.[22] He certainly could not effect a reconciliation between his studies and the world of Aristotle.

The Portuguese (Lusitanian) and Spanish hemispheres of the globe of Monachus

During this period Mercator was in contact with the Franciscan monk Monachus who lived in the monastery of Mechelen.[23] He was a controversial figure who, from time to time, was in conflict with the church authorities because of his humanist outlook and his break from Aristotelian views of the world: his own views of geography were based on investigation and observation. Mercator must have been impressed by Monachus, his map collection and the famous globe that he had prepared for Jean Carondelet, the principal advisor of Charles V.[24] The globe was constructed by the Louvain goldsmith Gaspar van der Heyden (Gaspar a Myrica c1496–c1549) with whom Mercator would be apprenticed. These encounters may well have provided the stimulus to put aside his problems with theology and commit himself to geography. Later he would say, "Since my youth, geography has been for me the primary subject of study. I liked not only the description of the Earth but the structure of the whole machinery of the world."[25]

Louvain 1534–1543

Towards the end of 1534, the 22 year old Mercator arrived back in Louvain and threw himself into the study of geography, mathematics and astronomy under the guidance of Gemma Frisius.[26] 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.

The terrestrial globe of Gemma Frisius.[27]

Gemma and Gaspar Van der Heyden had completed a terrestrial globe in 1529 but by 1535 they were planning a new globe embodying the latest geographical discoveries.[28] The gores were to be engraved on copper, instead of wood, and the text was to be in an elegant italic script instead of the heavy Roman lettering of the early globes. The globe was a combined effort: Gemma researched the content, Van der Heyden engraved the geography and Mercator engraved the text, including the cartouche which exhibited his own name in public for the first time. The globe was finished in 1536 and its celestial counterpart appeared one year later. These widely admired globes were costly and their wide sales provided Mercator an income which, together with that from mathematical instruments and from teaching, allowed him to marry and establish a home. His marriage to Barbara Schellekens was in September 1536 and Arnold, the first of their six children, was born a year later.[29]

The arrival of Mercator on the cartographic scene would have been noted by the cognoscenti who purchased Gemma's globe—the professors, rich merchants, prelates, aristocrats and courtiers of the emperor Charles V at nearby Brussels. The commissions and patronage of such wealthy individuals would provide an important source of income throughout his life. His connection with this world of privilege was facilitated by his fellow student Antoine Perrenot, soon to be appointed Bishop of Arras, and Antoine's father, Nicholas Perrenot, the Chancellor of Charles V.

Working alongside Gemma whilst they were producing the globes, Mercator would have witnessed the process of progressing geography: obtaining previous maps, comparing and collating their content, studying geographical texts and seeking new information from correspondents, merchants, pilgrims, travellers and seamen. He put his newly learned talents to work in a burst of productivity. In 1537, aged only 25, he established his reputation with a map of the Holy Land which was researched, engraved, printed and partly published by himself.[30]

A map of Palestine made in 1537. West is at the top.
Palestine (west at the top) 1537. 
A detail showing the path of Moses and the parting of the Red Sea
Detail: the Red Sea parted 

A year later, in 1538, he produced his first map of the world, usually referred to as Orbis Imago.[31] In 1539/40 he made a map of Flanders and in 1541 a terrestrial globe. All four works were received with acclaim[32] and they sold in large numbers. The dedications of three of these works witness Mercator's access to influential patrons: the Holy Land was dedicated to Franciscus van Cranevelt who sat on the Great Council of Mechelen, the map of Flanders was dedicated to the Emperor himself and the globe was dedicated to Nicholas Perronet, the emperor's chief advisor. The dedicatee of the world map was more surprising: Johannes Drosius, a fellow student who, as an unorthodox priest, may well have been suspected of Lutheran heresy.[33] Given that the symbolism of the Orbis Imago map also reflected a Lutheran view point, Mercator was exposing himself to criticism by the hardline theologians of Louvain.[34]

The title page of Literarum Latinarum

In between these works he found time to write Literarum latinarum, a small instruction manual on the italic script.[35] The italic script (or chancery cursive) reached the Low Countries from Italy at the beginning of the sixteenth century and it is recorded as a form of typescript in Louvain in 1522.[36] It was much favoured by humanist scholars who enjoyed its elegance and clarity as well as the rapid fluency that could be attained with practice, but it was not employed for formal purposes such as globes, maps and scientific instruments (which typically used Roman capitals or gothic script). Mercator first applied the italic script to the globe of Gemma Frisius and thereafter to all his works, with ever-increasing elegance. The title page of this work is an illustration of the decorative style he developed.[37]

In 1542, the thirty year old must have been feeling confident about his future prospects when he suffered two major interruptions to his life. First, Louvain was besieged by the troops of the Duke of Cleves, a Lutheran sympathiser who, with French support, was set on exploiting unrest in the Low Countries to his own ends.[38] Ironically it was this same Duke to whom Mercator would turn ten years hence. The siege was lifted but the financial losses to the town and its traders, including Mercator, were great. The second interruption was potentially deadly: the Inquisition called.[39]

Persecution, 1543

At no time in his life did Mercator claim to be a Lutheran but there are many hints that he had sympathies in that direction. As a child, called Geert, he was surrounded by adults who were possibly followers of Geert Groote, who placed meditation, contemplation and biblical study over ritual and liturgy—and who also founded the school of the Brethren of the Common Life at 's-Hertogenbosch. As an adult Mercator had family connections to Molanus, a religious reformer who would later have to flee Louvain. Also he was a close friend and correspondent of Philip Melanchthon, one of the principal Lutheran reformers.[40] Study of the bible was something that was central to Mercator's life and it was the cause of the early philosophical doubts that caused him so much trouble during his student days, doubts which some of his teachers would have considered to be tantamount to heresy. His visits to the free thinking Franciscans in Mechelen may have attracted the attention of the theologians at the university, amongst whom were two senior figures of the Inquisition, Jacobus Latomus and Ruard Tapper. The words of the latter on the death of heretics convey the atmosphere of that time:[41]

It is no great matter whether those that die on this account be guilty or innocent, provided we terrify the people by these examples; which generally succeeds best, when persons eminent for learning, riches, nobility or high stations, are thus sacrificed.[42]
Rupelmonde castle from Flandria illustrata (1641)

It may well have been these Inquisitors who, in 1543, decided that Mercator was eminent enough to be sacrificed.[43] His name appeared on a list of 52 Lutheran heretics which included an architect, a sculptor, a former rector of the university, a monk, three priests and many others. All were arrested except Mercator who had left Louvain for Rupelmonde on business concerning the estate of his recently deceased uncle Gisbert. That made matters worse for he was now classified as a fugitive who, by fleeing arrest, had proved his own guilt.[44]

Mercator was apprehended in Rupelmonde and imprisoned in the castle. He was accused of suspicious correspondence with the Franciscan friars in Mechelen but no incriminating writings were uncovered in his home or at the friary in Mechelen. At the same time his well placed friends petitioned on his behalf,[45] but whether his friend Antoine Perronet was helpful is unknown: Perronet, as a bishop, would have to support the activities of the Inquisition. After seven months Mercator was released for lack of evidence against him but others on the list suffered torture and execution: two men were burnt at the stake, another was beheaded and two women were entombed alive.[46]

Louvain 1543–1552

Mercator never committed any of his prison experiences to paper; all he would say[47] was that he had suffered an "unjust persecution". For the rest of his time in Louvain his religious thoughts were kept to himself and he turned back to his work. His brush with the Inquisition did not affect his relationship with the court and Nicholas Perrenot recommended him to the emperor as a maker of superb instruments. The outcome was an Imperial order for globes, compasses, astrolabe and astronomical rings.[48] They were ready in 1545 and the Emperor granted the royal seal of approval to his workshop. Sadly they were soon destroyed in the course of the Emperor's military ventures and Mercator had to construct a second set, now lost.[49] He also returned to his work on a large up-to-date and highly detailed wall map of Europe[47] which was, he had already claimed on his 1538 world map, very well advanced. It proved to be a vast task and he, perfectionist that he was, seemed unable to cut short his ever-expanding researches and publish: as a result it was to be another ten years before the map appeared.

The final success in Louvain was the 1551 celestial globe, the partner of his terrestrial globe of 1541. From that date they were sold as a pair. Given the relatively large number (22) of pairs still in existence the numbers sold must have been large, as is borne out by the records of the Plantin Press which show that the globes were in demand until the end of the century even though the terrestrial globe was never updated.[50] Celestial globes were a necessary adjunct to the intellectual life of rich patrons[51] and academics alike, for both astronomical and astrological studies, two subjects which were strongly entwined in the sixteenth century.

Duisburg 1552–1594

An updated version of the 1554 map of Europe as it appears in the 1595 atlas

In 1552 Mercator moved from Louvain to Duisburg in the Duchy of Cleves. He never gave his reasons for the move but several factors may have been involved: not having been born in Brabant he could never be a full citizen of Louvain; Catholic intolerance of religious dissidents in the Low Countries was becoming ever more aggressive and a man suspected of heresy once would never be trusted; the Erasmian constitution and the religious tolerance of Cleves must have appeared attractive; there was to be a new university in Duisberg and teachers would be required.[52] He was not alone; over the years to come many more would flee from the oppressive Catholicism of Brabant and Flanders to tolerant cities such as Duisburg.[53]

The peaceful town of Duisberg, untroubled by political and religious unrest, was the perfect place for the flowering of his talent. Mercator quickly established himself as a man of standing in the town: an intellectual of note, a publisher of maps, and a maker of instruments and globes.[54] There, he also gave a globe to John Dee.[55] Mercator never accepted the privileges and voting rights of a burgher for they came with military responsibilities which conflicted with his pacifist and neutral stance. Nevertheless, he was on good terms with the wealthier citizens and a close friend of Walter Ghim, the twelve times mayor and Mercator's future biographer.[56]

Mercator was welcomed by Duke Wilhelm who appointed him as court Cosmographer. There is no precise definition of this term other than that it certainly comprehends the disciplines of geography and astronomy but at that time it would also include astrology and chronology (as a history of the world from the creation). All of these were among Mercator's accomplishments but his patron's first call on his services was as a mundane surveyor of the disputed boundary between the Duke's territory of the County of Mark and the Duchy of Westphalia.[57]

In 1554 Mercator published the long-awaited wall map of Europe, dedicating it to his friend, now Cardinal, Antoine Perronet. He had worked at it for more than twelve years, collecting, comparing, collating and rationalising a vast amount of data and the result was a map of unprecedented detail and accuracy.[58] It "attracted more praise from scholars everywhere than any similar geographical work which has ever been brought out."[59] It also sold in large quantities for much of the rest of the century with a second edition in 1572 and a third edition in the atlas of 1595.[60]

An astronomical clock (by Baldewein) surmounted by rotating globes.

Around this time Mercator also received and executed a very special order for the Emperor: a pair of small globes, the inner ("fist-size") Earth was made of wood and the outer celestial sphere was made of blown crystal glass engraved with diamond and inlaid with gold.[59] He presented them to the Emperor in Brussels who awarded him the title Imperatoris domesticus (a member of the Imperial household). The globes are lost but Mercator describes them in a letter to Philip Melanchthon[61] in which he declares that the globes were rotated on the top of an astronomical clock made for Charles V by Juanelo Turriano (Janellus).[62] The clock was provided with eight dials which showed the positions of the moon, stars and planets. The illustration shows a similar clock made by the German craftsman Baldewein at roughly the same time. Mercator also presented the emperor with a pamphlet on the use of globes and instruments and his latest ideas on magnetism.[63]

The proposed university in Duisburg failed to materialize because the papal licence to found the University was delayed twelve years and by then Duke Wilhelm had lost interest. It was another 90 years before Duisburg had its university.[64] On the other hand, no papal permit was required to establish the Akademisches Gymnasium where, in 1559 Mercator was invited to teach mathematics with cosmography.[57] One year later, in 1560, he secured the appointment of his friend Jan Vermeulen (Molanus) as rector and then blessed Vermeulen's marriage to his daughter Emerantia. His sons were now growing to manhood and he encouraged them to embark on his own profession. Arnold, the eldest, had produced his first map (of Iceland) in 1558 and would later take over the day-to-day running of Mercator's enterprises.[65] Bartholemew, his second son, showed great academic promise and in 1562 (aged 22) he took over the teaching of his father's three year long lecture-course—after Mercator had taught it once only! Much to Mercator's grief, Bartholemew died young, in 1568 (aged 28).[66] Rumold, the third son, would spend a large part of his life in London's publishing houses providing for Mercator a vital link to the new discoveries of the Elizabethan age. In 1587 Rumold returned to Duisburg and later, in 1594, it fell to his lot to publish Mercator's works posthumously.[67]

Abraham Ortelius copy of the 1564 map of Britain

In 1564 Mercator published his map of Britain, a map of greatly improved accuracy which far surpassed any of his previous representations. The circumstances were unusual. It is the only map without a dedicatee and in the text engraved on the map he pointedly denies responsibility for the map's authorship and claims that he is merely engraving and printing it for a "very good friend". The identity of neither the author nor the friend has been established but it has been suggested that the map was created by a Scottish Catholic priest called John Elder who smuggled it to French clergy known to Antoine Perronet, Mercator's friend.[68][69][70][71] Mercator's reticence shows that he was clearly aware of the political nature of the pro-Catholic map which showed all the Catholic religious foundations and omitted those created by Protestant Henry VIII; moreover it was engraved with text demeaning the history of England and praising that of Catholic Ireland and Scotland. It was invaluable as an accurate guide for the planned Catholic invasion of England by Phillip II of Spain.

Lotharingia (Lorraine) as it appeared in the 1595 atlas.

As soon as the map of Britain was published Mercator was invited to undertake the surveying and mapping of Lorraine (Lotharingia). This was a new venture for him in the sense that never before had he collected the raw data for a new regional map. He was then 52, already an old man by the norms of that century, and he may well have had reservations about the undertaking. Accompanied by his son Bartholemew, Mercator meticulously triangulated his way around the forests, hills and steep sided valleys of Lorraine, difficult terrain as different from the Low Countries as anything could be. He never committed anything to paper but he may have confided in his friend Ghim who would later write: "The journey through Lorraine gravely imperiled his life and so weakened him that he came very near to a serious breakdown and mental derangement as a result of his terrifying experiences."[59] Mercator returned home to convalesce, leaving Bartholemew to complete the survey. No map was published at the time but Mercator did provide a single drawn copy for the Duke and later he would incorporate this map into his atlas.[72]

Chronologia title page. Translations[73]

The trip to Lorraine in 1564 was a set back for his health but he soon recovered and embarked on his greatest project yet, a project which would extend far beyond his cartographic interests. The first element was the Chronologia,[74] a list of all significant events since the beginning of the world compiled from his literal reading of the bible and no less than 123 other authors of genealogies and histories of every empire that had ever existed.[75] Mercator was the first to link historical dates of solar and lunar eclipses to Julian dates calculated mathematically from his knowledge of the motions of the sun, moon and Earth. He then fixed the dates of other events in Babylonian, Greek, Hebrew and Roman calendars relative to the eclipses that they recorded. The time origin was fixed from the genealogies of the Bible as 3965 years before the birth of Christ.[76] This huge volume (400 pages) was greeted with acclaim by scholars throughout Europe and Mercator himself considered it to be his greatest achievement up to that time. On the other hand, the Catholic Church placed the work on the Index Librorum Prohibitorum (List of Prohibited Books) because Mercator included the deeds of Martin Luther. Had he published such a work in Louvain he would again be laying himself open to charges of heresy.[77]

The Chronologia developed into an even wider project, the Cosmographia, a description of the whole Universe. Mercator's outline was (1) the creation of the world; (2) the description of the heavens (astronomy and astrology); (3) the description of the earth comprising modern geography, the geography of Ptolemy and the geography of the ancients; (4) genealogy and history of the states; and (5) chronology. Of these the chronology had already been accomplished, the account of the creation and the modern maps would appear in the atlas of 1595, his edition of Ptolemy appeared in 1578 but the ancient geography and the description of the heavens never appeared.[78]

The 1569 Mercator map of the world.  (Higher resolution images.)

As the Chronologia was going to press in 1569, Mercator also published what was to become his most famous map: Nova et Aucta Orbis Terrae Descriptio ad Usum Navigantium Emendate Accommodata (A new and more complete representation of the terrestrial globe properly adapted for use in navigation).[79] As mariners had started to explore the oceans in the Age of Discovery the problem of accurate navigation had become more pressing. Their locations could be a hundred miles out after a long voyage because a course of constant direction at sea (a rhumb line) did not correspond to a straight line on their chart. Mercator's solution was to make the scale of his chart increase with latitude in a very special way such that the rhumb lines became straight lines on his new world map. Exactly how he arrived at the required solution is not recorded in any of his own written works but modern scholars[80] suggest that he used the tables of rhumbs devised by Pedro Nunes.[81] The large size of what was a wall map meant that it did not find favour for use on board ship but, within a hundred years of its creation, the Mercator Projection became the standard for marine charts throughout the world and continues to be so used to the present day. At a later stage this mariner's map became a general purpose map of the world although its distortion at high latitudes was abundantly evident. Usage other than for marine charts is now deprecated and more suitable projections are available.[82]

Around this time the marshall of Jülich approached Mercator and asked him to prepare a set of European regional maps which would serve for a grand tour by his patron's son, the crown prince Johannes. This remarkable collection has been preserved and is now held in the British Library under the title Atlas of Europe (although Mercator never used such a title). Many of the pages were assembled from dissected Mercator maps and in addition there are thirty maps from the Theatrum Orbis Terrarum of Abraham Ortelius.[83]

Mauretania in the 1578 Ptolemy

Apart from a revision of the map of Europe in 1572 there would be no more large wall maps and Mercator began to address the other tasks that he had outlined in the Cosmographia. The first of these was a new definitive version of Ptolemy's maps.[84] That he should wish to do so may seem strange given that, at the same time, he was planning very different modern maps and other mapmakers, such as his friend Abraham Ortelius, had forsaken Ptolemy completely. It was essentially an act of reverence by one scholar for another, a final epitaph for the Ptolemy who had inspired Mercator's love of geography early in his life. He compared the great many editions of the Ptolemy's written Geographia, which described his two projections and listed the latitude and longitude of some 8000 places, as well as the many different versions of the printed maps which had appeared over the previous one hundred years, all with errors and accretions. Once again, this self-imposed diligence delayed publication and the 28 maps of Ptolemy appeared in 1578, after an interval almost ten years. It was accepted by scholars as the "last word", literally and metaphorically, in a chapter of geography which was closed for good.[85]

Mercator now turned to the modern maps, as author but no longer engraver: the practicalities of production of maps and globes had been passed to his sons and grandsons. In 1585 he issued a collection of 51 maps covering France, the Low Countries and Germany. Other maps may have followed in good order had not the misfortunes of life intervened: his wife Barbara died in 1586 and his eldest son Arnold died the following year so that only Rumold and the sons of Arnold were left to carry forward his business. In addition, the time he had available for cartography was reduced by a burst of writing on philosophy and theology: a substantial written work on the Harmonisation[86] of the Gospels[87] as well as commentaries on the epistle of St. Paul and the book of Ezekiel.

In 1589, at the age of 77, Mercator had a new lease of life. He took a new wife, Gertrude Vierlings, the wealthy widow of a former mayor of Duisburg (and at the same time he arranged the marriage of Rumold to her daughter). A second collection of 22 maps was published covering Italy, Greece and the Balkans. This volume has a noteworthy preface for it includes the first mention of Atlas as a mythical king of Mauretania, a son of the globe-bearing Titan of the same name. "I have set this man Atlas," explained Mercator, "so notable for his erudition, humaneness, and wisdom as a model for my imitation." [88] A year later, Mercator had a stroke which left him greatly incapacitated. He struggled with the assistance of his family trying to complete the remaining maps, the ongoing theological publications and a new treatise on the Creation of the World. This last work, which he did succeed in finishing, was the climax of his life's activities, the work which, in his own opinion, surpassed all his other endeavours and provided a framework and rationale for the complete atlas. It was also his last work in a literal sense for he died after two further strokes in 1594.[89]

Epitaph and legacy

Mercator epitaph in the church of St Salvator, Duisburg

Mercator was buried in the church of St. Salvatore in Duisburg where a memorial was erected about fifty years after his death. The main text of the epitaph is a summary of his life lauding him as the foremost mathematician of his time who crafted artistic and accurate globes showing the heaven from the inside and the Earth from the outside ... greatly respected for his wide erudition, particularly in theology, and famous on account of his piety and respectability in life. In addition, on the base of the memorial, there is an epigram:[90]

To the reader: whoever you are, your fears that this small clod of earth lies heavily on the buried Mercator are groundless; the whole Earth is no burden for a man who had the whole weight of her lands on his shoulders and carried her as an Atlas.

Following Mercator's death his family prepared the Atlas for publication—in four months. It was, after all, a hoped for source of the income that was needed to support them. This work entailed supplementing the maps of the 1585 and 1589 with 28 unpublished maps of Mercator covering the northern countries, creating four maps of the continents and a world map, the printing of Mercator's account of the creation and finally the addition of eulogies and Walter Ghim's biography of Mercator. The title itself provides Mercator's definition of a new meaning for the word "Atlas": Atlas Sive Cosmographicae Meditationes de Fabrica Mundi et Fabricati Figura which may be translated as "Atlas or cosmographical meditations upon the fabric of the world and the figure of the fabrick’d, or, more colloquially, as Atlas or cosmographical meditations upon the creation of the universe, and the universe as created." [91][92] Over the years Mercator's definition of atlas has become simply A collection of maps in a volume.[93]

The atlas was not an immediate success. One reason may have been that it was incomplete: Spain was omitted and there were no detailed maps outside Europe. Rumold avowed that a second volume would attend to these deficiencies but it was not forthcoming and the whole project lost momentum; Rumold, who was 55 years old in 1595, was in decline and died in 1599. His family did produce another edition in 1602 but only the text was reset, there were no new maps.[94] Another reason for the failure of the Atlas was the strength of the continuing sales of the Theatrum Orbis Terrarum of Abraham Ortelius. Alongside the sumptuous maps of that book Mercator's un-ornamented new maps looked very unattractive. Despite the death of Ortelius in 1598 the Theatrum flourished: in 1602 it was in its thirteenth Latin edition as well as editions in Dutch, Italian, French German and Spanish. The Mercator atlas seemed destined for oblivion.[95]

The family was clearly in some financial difficulty for, in 1604, Mercator's library of some 1000 books was sold at a public auction in Leyden (Netherlands). The only known copy of the sale catalogue[96] perished in the war but fortunately a manuscript copy had been made by Van Raemdonck in 1891 and this was rediscovered in 1987.[97] Of the titles identified there are 193 on theology (both Catholic and Lutheran), 217 on history and geography, 202 on mathematics (in its widest sense), 32 on medicine and over 100 simply classified (by Basson) as rare books. The contents of the library provide an insight into Mercator's intellectual studies but the mathematics books are the only ones to have been subjected to scholarly analysis: they cover arithmetic, geometry, trigonometry, surveying, architecture, fortification, astronomy, astrology, time measurement, calendar calculation, scientific instruments, cartography and applications.[98][99] Only one of his own copies has been found—a first edition of Copernicus's De revolutionibus orbium coelestium annotated in Mercator's hand: this is held by Glasgow University.[98]

Title page of Mercator-Hondius atlas of 1637 (in English) showing Titan Atlas, Mercator (twice) and personifications of the continents.

The sale catalogue doesn't mention any maps but it is known that the family sold the copper plates to Jodocus Hondius in 1604.[100] He transformed the atlas. Almost 40 extra maps were added (including Spain and Portugal) and in 1606 a new edition appeared under his name but with full acknowledgement that most maps were created by Mercator. The title page now included a picture of Hondius and Mercator together although they had never met. Hondius was an accomplished business man and under his guidance the Atlas was an enormous success; he (followed by his son Henricus, and son-in-law Johannes Janssonius) produced 29 editions between 1609 and 1641, including one in English. In addition they published the atlas in a compact form, the Atlas Minor,[101] which meant that it was readily available to a wide market. As the editions progressed, Mercator's theological comments and his map commentaries disappeared from the atlas and images of King Atlas were replaced by the Titan Atlas. By the final edition the number of his maps in the atlas declined to less than 50 as updated new maps were added. Eventually the atlas became out-of-date and by the middle of the seventeenth century the publications of map-makers such as Joan Blaeu and Frederik de Wit took over.

Mercator's editions of Ptolemy and his theological writings were in print for many years after the demise of the atlas but they too eventually disappeared and it was the Mercator projection which emerged as his sole and greatest legacy.[102] His construction of a chart on which the courses of constant bearing favoured by mariners appeared as straight lines ultimately revolutionised the art of navigation, making it simpler and therefore safer. Mercator left no hints to his method of construction and it was Edward Wright who first clarified the method in his book Certaine Errors (1599)—the relevant error being the erroneous belief that straight lines on conventional charts corresponded to constant courses. Wright's solution was a numerical approximation and it was another 70 years before the projection formula was derived analytically. Wright published a new world map based on the Mercator projection, also in 1599. Slowly, but steadily, charts using the projection appeared throughout the first half of the seventeenth century and by the end of that century chart makers all over the world were using nothing but the Mercator projection, with the aim of showing the oceans and the coastlines in detail without concern for the continental interiors. At some stage the projection made the unfortunate leap to portrayal of the continents and it eventually became the canonical description of the world, despite its manifest distortions at high latitudes.[103] Recently Mercator's projection has been rejected for representations of the world[104] but it remains paramount for nautical charts and its use stands as his enduring legacy.[102]

Museums

There are two museums dedicated primarily to Mercator:

Mercator's works

Statue of Mercator, Jardin du Petit Sablon, Brussels

Globes and Instruments

The globes by Gemma Frisius and Mercator are discussed in Volume 3 of the History of Cartography (Cartography in the European Renaissance).[105] Chapter 6: "Globes in Renaissance Europe" by Elly Dekker. Chapter 44: "Commercial Cartography and Map Production in the Low Countries, 1500–ca. 1672" by Cornelis Koeman, Günter Schilder, Marco van Egmond, and Peter van der Krogt. The definitive work is "Globi neerlandici: the production of globes in the Low Countries" by Peter van der Krogt.[106]

Wholly devised by Frisius who invited Mercator to engrave the text. The only extant example is part of the Schmidt collection held by the Globe Museum (website) of the Austrian National Library. Another example held at the Gymnasium Francisceum of Zerbst was destroyed in the second world war but there is a full description in Stevenson.[107]

The only known example is held by the Royal Museums Greenwich (formerly the National Maritime Museum). On this globe Mercator's name appears on equal footing with that of Frisius. The globe is also described in Stevenson.[107]

Over twenty pairs of globes are still in existence. Both of the globes and their un-pasted gores may be examined in high resolution.[108][109] A full description of the globes may be found online in Stevenson.[110]
The terrestrial globe is significant in conjecturing that North America is separated from Asia, unlike the globe of Monachus. Another feature, the shape Mercator ascribed to Beach and Maletur, later gave rise to speculation that the north coast of Australia had been visited in the early sixteenth century.[111]
Mercator also added a feature of special value to seamen: from the numerous compass or wind roses he drew rhumb lines rather than great circles. The rhumb lines correspond to constant sailing directions but on the spherical globe they appear as spirals. The globe was manufactured in great numbers but it was never updated. The celestial globe was up to date in using the information provided by Copernicus.[112]

Maps

Amplissima Terrae Sanctae descriptio ad utriusque Testamenti intelligentiam. (A description of the Holy Land for understanding both testaments). Dedicated to Franciscus van Cranevelt. Size; 67 cm × 122 cm (26 in × 48 in) in 6 sheets. Two copies are extant: one at the library of Perugia and another at the Bibliotheque Nationale de France (link above). Based on a map by the lutheran Jacob Ziegler. Mercator's map shows the route of the Israelites from Egypt to the Promised Land. The title discloses a hope of helping people in their Bible studies, a Lutheran notion that would have aroused the suspicions of the inquisition.[113]

This wall map has no title but it is normally referred to as Orbis Imago (from the first sentence of the central legend, below). Size: 54.5 cm × 35.5 cm (21.5 in × 14.0 in). Dedicated to Johannes Drosius. Two copies extant: one at the American Geographical Society Library (link above), and another at the New York Public Library. The first map identifying North American and South America. The map was a slightly modified copy of a 1531 world map (and its text) by Oronce Fine. The double cordiform projection,[114] may well have been chosen because of its relationship to aspects of Lutheran beliefs.[115] A notice to the reader (Latin text) at the top of the map says: "Let America, Sarmatia and India bear witness, Dear Reader, that the image of the world you see here is newer and more correct than those that have been circulated hitherto. We propose with regard to the different parts of the world to treat, successively, particular regions more broadly, as we are already doing with Europe, and you may soon expect a universal map, which will not be inferior to that of Ptolemy. Farewell. 1538".

Wall map 96 cm × 125 cm (38 in × 49 in) in 9 sheets. Dedicated to Charles V. This map was commissioned by merchants of Ghent who intended that it should be presented to Charles V in the forlorn hope that it might divert the wrath of the Emperor after their rebellion. It would be a more respectful replacement of a 1538 map by Pieter Van der Beke which had stressed the defiant independence of the Flemish cities.[116] The map is remarkably accurate and it is presumed to be based on a triangulation of Flanders by Jacob van Deventer.[117] A single original is extant and may be inspected in the Plantin-Moretus Museum: it also appeared in the atlas of 1585 and in the Theatrum Orbis Terrarum of Abraham Ortelius.[118]

Europae descriptio. Wall map 165 cm × 135 cm (65 in × 53 in) on 15 sheets. Dedicated to Antoine Perrenot. No known copy of the whole map has been discovered but several copies of the map were cut and re-assembled (by Mercator) for inclusion in the unique Atlas of Europe from 1570–72, for example the map of Spain on pages 7 and 8 but not the map of Europe on pages 1 and 2 which is taken from the 1569 world map. They are available in facsimile.[119] The map used a cordiform projection. It was revised by Mercator in 1572 and again by Rumold for the 1595 atlas.

Anglia & Scotiae & Hibernie nova descriptio. Wall map 92 cm × 122 cm (36 in × 48 in) on 8 sheets. Mercator states that a friend, possibly Antoine Perronet, had requested that he engrave this map from a manuscript copy, possibly by John Elder, a disaffected Scottish Catholic priest.[120][121][122] Several copies of this map were cut and re-assembled for the atlas of Europe. The map is oriented with west at the top. 4 copies known

A map commissioned by Duke René of Lorraine. The single copy of the map was never published[123] but two detailed maps of Lorraine (north and south) appear in the Atlas of 1585.

A unique collection of maps assembled in the early 1570s, many of which are assembled from portions of Mercator's earlier maps: 9 constructed from Europe (1554), 6 from British Isles (1564) and 2 from the world map (1569). The map of Europe on pages 1 and 2 is taken from the 1569 world map. There are also 2 manuscript maps of Mercator and 13 maps are from the Theatrum Orbis Terrarum of Abraham Ortelius.) Note that Mercator did not term this collection of maps an atlas.

Tabulae geographicae Cl. Ptolemaei ad mentem auctoris restitutis ac emendatis. (Geographic maps according to Claudius Ptolemy, drawn in the spirit of the author and expanded by Gerard Mercator) Mercator's definitive version of Ptolemy's 28 maps. A second edition including the revised text of Geographia was published in 1584. Geographiae Libri Octo : recogniti iam et diligenter emendati. Example map: Britain

The first collection of 51 modern maps: 16 of France (with Switzerland), 9 corresponding to Belgium and the Netherlands and 26 of Germany. The three sections, each with a title page, dedication and supporting text, were sold together and separately. (Mercator did not term this collection of maps as an atlas.)

A second collection of 23 modern maps: 16 of Italy (including Corsica), 3 of Styria and the other Balkan countries, 4 of Greece. (Once again Mercator did not term this collection of maps as an atlas but in the preface he introduces Atlas as a mythical King of Mauretania—a learned philosopher, mathematician and astronomer, credited with the making of the first globe.) This collection has a dedication to Prince Ferdinando de' Medici to whom Mercator attributes ancestry from King Atlas.[124]

Atlas Sive Cosmographicae Meditationes de Fabrica Mundi et Fabricati Figura. (Atlas or cosmographical meditations upon the creation of the universe, and the universe as created.) This is the first time that the name Atlas is used as a title of a collection of maps. Many library copies are available worldwide. There are also a number of freely available digital volumes such as those at the Library of Congress and Darlington Library (University of Pittsburg). In addition high resolution facsimiles are available on a CD published by Octavo (OCLC 48878698). This publication is accompanied by an introduction to the atlas by (Karrow 2000) and a translation of all the text (Sullivan 2000) both of which are freely available in an online PDF from the New York Society Library. (archived version)
The atlas includes further 28 maps: 16 of Britain, 4 of Denmark and one each of the polar regions, Iceland, Norway with Sweden, Prussia, Livonia, Russia, Lithuania, Transylvania and Crimea. This collection of maps is dedicated to Queen Elizabeth of England and in the preface Mercator acknowledges the information he received from English mariners through Rumold who had spent much of his working life in London. The full atlas included all the maps of the previous two collections, making in all 102 new maps by Mercator. His heirs added 5 introductory maps before publication: world map and Europe by Rumold, Africa and Asia by grandson Gerard and America by grandson Michael. Nevertheless the atlas was incomplete: Spain was omitted and there were no detailed maps outside Europe. The maps are in a variety of projections.[125]
Less than half the pages in the atlas are maps. The title page shows King Atlas holding a globe, not supporting it, then the portrait of Mercator, a dedication to the Dukes of Cleves (father and son), a eulogy on the portrait, two epitaphs, the biography by Ghim, another epitaph by his grandson, two 'testimonial' letters, an ode on King Atlas by a grandson and Mercators own genealogy of Atlas in which he outlines his intended plans for the rest of the atlas: a description of the creation events, then a description of all that was created in the heavens (astronomy and astrology) and finally a description of the Earth, its geography. Of this grandiose plan all that was completed were the first and last objectives. The first part of the atlas, De mundi creatione ac fabrica liber (The creation of the world and the structure of the book), consists of 27 pages of text on the theology of creation, the events of creation, the elements created (such as animals, plants, sun, moon, stars, man), the Fall of Man and finally the salvation of creation through Christ.
The second part of the Atlas contains the maps but each section has its own title page, dedication and preface, and every country is succinctly supplemented by text describing a mixture of history, royal genealogy, ecclesiastical hierarchies, list of universities and occasionally facets of contemporary economy. Every place mentioned in the text is given its geographic coordinates[126] to the nearest minute.
As an example of the textual content the section on the British Isles mentions (amongst other things): alternative names; the etymology of British and its relation to woad painted tribes; climate; lack of snakes; the seemly manners of the populace; coroners and ecclesiastical courts; lists of counties, bishoprics and universities; the structure of aristocracy; and much more, even a list of recommended reading.[127]

Books

Notes and references

  1. The full text of Ghim's biography is translated in Sullivan (2000).
  2. In English speaking countries Gerardus is usually anglicized as Gerard with a soft initial letter (as in 'giant') but in other European countries the spelling and pronunciation vary: for example Gérard (soft 'g') in France but Gerhard (hard 'g') in Germany. In English the second syllable of Mercator is stressed and sounds as Kate: in other countries that syllable is sounded as 'cat' (/kæt/) and the stress moves to the third syllable.
  3. There is some doubt about the relationship of Hubert and Gisbert. Gisbert was either the brother or uncle of Hubert.
  4. The evidence for Mercator's place of birth is in his letter to Wollfgang Haller (Averdunk (1914), Letter26, and Durme (1959), Letter 152) and in the biography by his personal friend Ghim (1595).
  5. From 1518 the Kremers are mentioned in the archived records of Rupelmonde.
  6. Crane (2003), Chapter 1, pp10–13.
  7. Crane (2003), Chapter 2, pp14.
  8. Raemdonck (1868) and Raemdonck (1869).
  9. Breusing (1869).
  10. Averdunk (1914), Chapter 1 and pp172–177.
  11. Horst (2011) and Crane (2003) give no nationality but Turner (2004) implies (without references) that Hubert was Flemish.
  12. 's-Hertogenbosch (Duke's Forest) is Bois-le-Duc in French and Herzogenbusch in German, colloquially Le Bois or Den Bosch. In the sixteenth century it was the second largest town in the Low Countries.
  13. Crane (2003), Chapter 3.
  14. A scriptorum was where manuscripts were copied by hand. In 1512 such endeavours had not been completely overtaken by printing.
  15. The letters of Erasmus quoted in Crane (2003), p33.
  16. Crane (2003), Chapter 4.
  17. The university statutes stated explicitly that to disbelieve the teaching of Aristotle was heretical and would be punished by expulsion. See Crane (2003), Chapter 4, pp46–47.
  18. The trivium and the quadrivium together constitute the seven liberal arts
  19. The university statutes declared that contradiction of Aristotle was heresy (Crane 2003), p47
  20. There is uncertainty as to whether he was away in Antwerp for a single long period or whether he simply made a number of visits. See Osley (1969), p20, footnote 2.
  21. Ghim (1595) simply states that Mercator read philosophy privately for two years.
  22. Horst (2012), p49.
  23. Crane (2003), p54 and Osley (1969), p20, footnote 2.
  24. See Horst (2012), p49, Crane (2003), p58. The original text is Monachus (1526/7).
  25. From the dedication to the volume of Ptolemy Mercator published in 1578. See Crane (2003), p54.
  26. Crane (2003), Chapters 5 and 6.
  27. Ten images of the terrestrial globe may be inspected on Wikipedia Commons. The fifth image shows the inscription listing the joint makers to the left of the cartouche containing the dedication to Charles V.
  28. Crane (2003), Chapters 7 and 8.
  29. Crane (2003), Chapter 8, pp 86,91.
  30. Crane (2003), Chapter 9.
  31. Orbis Imago is a reference to the text in the legend (cartouche) at the top centre of the map. The first sentence contains the phrase hic vides orbis imaginem which translates as this image of the globe that you see. Text
  32. Ghim (1595) and Crane (2003), Chapter 9.
  33. Crane (2003), Chapter 14, p149.
  34. Crane (2003) Chapter 10, p110.
  35. Mercator (1540).
  36. Osley (1969), p28.
  37. The top line of the title page does spell out a highly decorative form of the word LITERARUM.
  38. Crane (2003), Chapter 14 p142–145.
  39. Crane (2003), Chapter 15.
  40. Some of the correspondence of Mercator and Melanchthon has been preserved. See Van Durme (1959)
  41. The persecution of heretics is discussed in Crane (2003), Chapter 14, 9149.
  42. Brandt & Chamberlayne (1740)
  43. Crane (2003), Chapter 15, p155.
  44. Crane (2003), Chapter 15, p154.
  45. It is known that Pieter de Corte, an ex-rector of the university, wrote to Queen Maria of Hungary, governor of the province. See Crane (2003), Chapter 15, p156.
  46. Crane (2003), Chapter 15.
  47. 1 2 Van Durme (1959) p15. Letter to Antoine Perrenot
  48. Karrow (1993) p383.
  49. Crane (2003) Chapter 16, p167.
  50. Imhof (2012)
  51. Note the globes in Holbein's ambassadors
  52. Crane (2003), Chapter 16, p173
  53. Other refugees in Duisberg included Johannes Oeste (or Otho), Georg Cassander and Cornelius Wouters. See Crane (2003), Chapter 19, p191
  54. Mercator's workshops produced items such as globes in a steady stream. The records of Plantin show that he received 1150 maps and globes from Mercator over a thirty year period (Clair 1987) but at the same time he was selling items at the regular international Frankfurt Book Fair and selling direct from his own workshop.
  55. "Dee Biography".
  56. Crane (2003), Chapter 17, p178.
  57. 1 2 Crane (2003), Chapter 19, p194
  58. For a description see Crane (2003), Chapter 17.
  59. 1 2 3 Ghim (1595)
  60. For example Plantin alone sold 400 copies of the map of Europe in 1566, twelve years later.
  61. Melanchthon is a significant correspondent of Mercator since he was one of the founders of Lutheranism.
  62. A speculative model of the double globe was constructed by Wilhelm Kruecken for the Duisburg commemorations of the 400th anniversary of Mercator's death.
  63. Mercator (1554)
  64. Taylor (2004, p. 139)
  65. Crane (2003), Chapter 19, p193
  66. Crane (2003), Chapter 22, p222
  67. Crane (2003), Epilogue, 320
  68. (Crane 2003), Chapter 19, pp189–205.
  69. (Taylor 2004). Chapter 14, pp156–166.
  70. The British Isles by Peter M. Barber in Watelet (2003)
  71. Chapter 54 of Woodward (1987), The History of Cartography, Volume 3, Cartography in the European Renaissance,
  72. Crane (2003), Chapter 21, p212.
  73. For the title see Mercator (1569). The text over the illustration is in via virtuti nulla est via, meaning no way is impassable to virtue (Ovid).
  74. (Mercator 1569)
  75. Crane (2003), Chapters 23, pp223–228. Taylor (2004), Chapter 17 p185.
  76. See the page showing the birth of Christ.
  77. In the two online copies of the Chronologia listed under Mercator (1569) only one includes the Luther reference whilst in the other all mention of Luther has been erased.
  78. Crane (2003), Chapters 22 and 23, pp217–228. Taylor (2004), Chapter 17 p185.
  79. Crane (2003), Chapter 24. Taylor (2004), Chapter 21.
  80. Gaspar & Leitão (2016)
  81. (De Graeve 2012a) has shown that Mercator's library contained a copy of the Theory of the Loxodrome by Pedro Nuñez. This was published in 1566, three years before Mercator completed the map on the new projection.
  82. See the discussion at Mercator projection.
  83. A facsimile of the Mercator contributions in the Atlas of Europe has been published by Watelet (1997).
  84. Crane (2003) Chapter 26.
  85. Crane (2003), Chapter 26. Taylor (2004), Chapter 19.
  86. For an (online) exegesis of the Harmonisation see Jonge (1990).
  87. See Mercator (1592)
  88. Crane (2003) Chapter 30, p308.
  89. Crane (2003) Chapter 31, p318
  90. The text of Mercator's memorial is given in Raemdonck (1868) p227 and a translation may be found at Wikisource.
  91. (Sullivan 2003) pdf p2.
  92. See Karrow (2000) for a discussion of concept of the term atlas.
  93. Oxford English Dictionary.
  94. Crane (2003), Epilogue, p320.
  95. Crane (2003) Epilogue p323
  96. Basson (1604)
  97. Penneman (1994)
  98. 1 2 De Graeve (2012a)
  99. De Graeve (2012b)
  100. Crane (2003) Epilogue p324
  101. The Atlas Minor may be viewed online at the Bavarian State Library
  102. 1 2 Crane (2003) Epilogue p325.
  103. The distortions of Mercator's map are discussed in the article on the Mercator projection.
  104. See the critique of the Mercator and other projections in Gall–Peters projection
  105. Woodward (1987)
  106. van der Krogt (1993)
  107. 1 2 Stevenson (1921) p102.
  108. The terrestrial and celestial globes may be examined in high resolution at the Harvard Map Collection
  109. The gores for both Mercator globes held by the Bibliothèque Royale (Brussels) have been published in facsimile with a preface by Antoine de Smet ((Mercator & de Smet 1968). High resolution images are available at the National Library of Australia (click on Browse).
  110. Stevenson (1921) pages 124–135
  111. Crane (2003), Chapter 13, p.346, n14.
  112. Crane (2003) Chapter 16 p170.
  113. Crane (2003) Chapter 9 p103.
  114. For a discussion of cordiform projections see & Snyder (1993) p37, Figure 1.27
  115. Crane (2003) Chapter 10, p110.
  116. Crane (2003) Chapter 11
  117. Crane (2003) Chapter 11 p119.
  118. The Theatrum Orbis Terrarum may be viewed online. It includes the Mercator maps of the Holy Land, Flanders, Britain and the world (1569).
  119. Watelet (1997)
  120. See Crane (2003) Chapter 19
  121. The British Isles by Peter M. Barber in Watelet (2003). Most of this article is available as an excerpt
  122. Chapter 54 (by Peter Barber) in Woodward (1987), The History of Cartography, Volume 3, Cartography in the European Renaissance,
  123. See Crane (2003) Chapter 21 p213.
  124. (Sullivan 2003) pdf-page 458.
  125. Projections used in the 1585 atlas: seeKeuning (1947)
  126. Longitudes in the atlas are referred to the prime meridian of Ptolemy and differ from present day values by approximately 18 degrees (notwithstanding the errors in Mercator's data).
  127. (Sullivan 2003) pages 165–190, pdf-pages 235–260.

Bibliography

See also

Wikiquote has quotations related to: Gerardus Mercator
This article is issued from Wikipedia - version of the 11/23/2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.