Month: November 2011

Free Fiction — and apologies

Free Fiction — and apologies

I want to apologize for missing last week’s posting  of new chapters in Jaymee and David’s story, but a family emergency kept me away from the right material on my computer, I hope this week’s installment keeps you reading. Click here to read chapter 17 and 18.

Powell’s Books: A glimpse inside the cartographer’s mind

Powell’s Books: A glimpse inside the cartographer’s mind

Gondolas, Venice (2004) Photo (c) Karen Abrahamson

The other day at Powell’s Books (Portland), I came across a wonderful little book called “The Mapmaker’s Dream” by James Cowan. The book is the translation of the diary of Fra Mauro, a sixteenth century Venetian monk and cartographer who set out to make a perfect mappamundi (map of the world) though he had never stepped outside the confines of his cloisters. Instead he gathered travelers’ tales through exchanges of letters or interviews of missionaries, merchants and soldiers travelling through Venice. His task became well known and he received envoys from as far afield as the court of the Chinese Emperor. Not only was this book astounding for the fact that word of his venture travelled so far in the 16th century, but the information he collected and the workings of his mind fascinated me.

Yes, his travelers brought stories of the Cyclopedes, beings in the southern hemisphere with only one huge foot that they used for hopping and also for shade when the sun in the antipodes became too fierce, but envoys also brought other tales that caused good Fra Mauro much reflection. This was what captured my attention for they showed a keenness of mind and a shifting view of the world much like new age philosophers. This seemed strange for his time; given Fra Mauro was a devout Catholic.

His encounters left him pondering whether the soul could possibly transmigrate into another person upon the death of the body and whether we are ‘all drifting towards a more complete life in someone else’. The visit of an old Jewish merchant from Rhodes left him contemplating how the loss of place (in the holy land) ‘condemned the man to inhabit his loss forever’ and how the rootless person came to inhabit a region of his own mind instead.

Schwedigon pagoda
Holy Schwedigon pagoda at sunset, Yangon, Myanmar (Photo (C) Karen Abrahamson)

Visits from others left him considering how venerated holy relics become something more because of that veneration, and how those objects take on their own life because they unite an idea that men aspire to. They left him wondering at cultures that worshiped Satan and yet were not evil, and others that determined their actions and their future through the calls of seven forest birds.

But most of all he wrote of the minds of travelers. He was struck by the notion that travelers not only travelled with their bodies, but also that they travelled in their minds and were transformed by that travel or, alternatively, transformed the place they had been. He wrote of the journeys of envoys sent to find the mythic kingdom of Prestor John and looked at the evidence of such a kingdom – the long letter still held in the Vatican archives that describes a kingdom so perfect it could not possibly exist. Fra Mauro concluded that the reason the search for Prestor John’s kingdom became all consuming, was not just the desire for aid against the Moslem hordes, but the desire to know that it was possible for paradise to exist on earth. Travelers longed to become ‘slaves’ to Prestor John’s perfection and bounty. But the country of Prestor John would never be found because it was only built on dreams.

Buddha face, Sukhothai
Buddha face, ruins of the ancient capital of Sukhothai (1997) Photo (c) Karen Abrahamson

Ultimately, Fra Mauro realized the challenge of creating a perfect map arose because each man’s perceptions of place were different and any ‘perfect’ map must capture not only the land forms, but also the forms of the world created by men’s minds.

The lowly monk of Venice completed his life’s work, but today no trace of his perfect mappamundi exists, except in references in the pages of his journal. Perhaps, like the worlds he described, it faded away to become the world as we know it today, but more importantly what his journal shows is a man of deep thought who’s Sixteenth Century perspectives still resonate with readers today.

Thank you, Powell’s, for this gift.

A Question of Balance

A Question of Balance

We have a lot to thank the ancient Greeks for. They gave us Greek culture, mythology, the Odyssey and the Iliad. They developed drama and many of the arts and sciences and gave us some of the best early approaches to understanding the world – including its cartography. But the Greeks got some things downright wrong, too, like the circumference of the world. Unfortunately the rest of the European world held onto these errors as gospel simply because it WAS the Greeks who initiated the theories.

Case in point was the Greek philosophers’ belief in symmetry which, in cartography, surmised that because there was a large landmass in the northern hemisphere (Europe and Asia and North Africa), there must be a similar large land mass in the south. This led to world maps carrying the weight of a large continent south of the equator. In earlier maps this continent encircled the Indian Ocean, but when Vasco da Gama sailed the Cape ofGood Hope to circumnavigate Africa, the great continent receded a little, and simply reached out from the limits of Antarctica. It became known as Terra Australis.

The myth of the Antipodean continent caused cartographers to override the information brave explorers brought back from their ventures. When Magellan made the dangerous crossing from Atlantic to Pacific off the tip of South America, they spotted Tierra del Fuego and surmised it was an island. Cartographers, however, chose to override those who had been there, and drew Tierra del Fuego as an outcropping of the great continent. More mapmakers embellished their maps with prominent features like the land of Parrots, the Cape of Good Signal and the River of Islands, all lending credence to the existence on the continent. But exploration in the Pacific continued to chip away at the continent’s size, but it was only in the 1770s, when Captain James Cook was instructed to search for the southern continent, that he sailed farther south than 71 degrees to a land of fog and snow mists, that cartographer’s gave up on their belief in the super-sized southern continent.

So they turned their notion of symmetry northward.

If South America and Africa both had southern straights that gave passage from one ocean to another, then surely there must be something similar in the north. This led to the search for the Northwest Passage that scattered the names of many an explorer across Canada’s north. Think Frobisher Bay. Think Baffin Island and Hudson Bay, just to name a few.

Explorers from Spain, France and England sent explorers up and down the coast of North America and deep inland through the great lakes, seeking that passage. The English sent exploration teams one after another into Canada’s north, many never to be heard from again.

Driftwood at Longbeach, B.C. (2005) Photo (c) Karen Abrahamson
Driftwood at Longbeach, B.C. (2005) Photo (c) Karen Abrahamson

When the search from east to west brought no results, they sent famed Captain Cook, and then Captain Vancouver, exploring and mapping the Pacific coast of North America still seeking that elusive fjord that would spread out and become a fulsome channel all the way to England.

It was not to be, but such legends died hard. And today perhaps the ancient Greeks are laughing, as global warming opens up the northern passage they prophesized. Symmetry exists at last.

 

The World Has Three Points

The World Has Three Points

I mentioned last week how the ancient Egyptian, Eratosthrenes, used a column and a shadow as two sides of a triangle to estimate the size of the earth, which shows the importance of geometry to cartography. Nowhere was this more evident than in mapping the earth, where triangulation, (the process of determining the location of a point by measuring angles to an unknown point from known points at either end of a fixed baseline), was literally used to measure the location of everything in relation to everything else.

Geometry and triangulation had actually proven themselves previous to Eratosthrenes. They’d been used to measure the heights of the pyramids and had also had been highlighted by the ancient Chinese as an important principle of mapmaking. Unfortunately this wasn’t well known in Europe even though the Arabic influence brought such surveying methods into old Spain. Instead, Europe was still transcribing tourist tales and fanciful stories onto paper and selling these for parlor display based on their beautiful illuminations, rather than spending their time surveying the landscape.

Apparently the first European to get serious about the use of triangulation was a Dutchman named Gemma Frisius who suggested using triangulation as a means to pinpoint the location of places on maps. The technique gradually spread through the 1500s, but it wasn’t until the 1600s that Europe got serious. A Dutchman named Snell began the process of surveying the landscape with a chained line of triangles (much like the triangles the American flag is folded into)across the countryside for a distance of 70 miles. The use of Snell’s process led to a rise in the quality of the Dutch maps and, in comparison, the decline of French maps into dependence upon engraving and elegant color as their selling feature – all well and good as a parlor adornment, but not what you want if you actually want to do something with the map you made.

Enter Guillaume Deslisle: In the late 1600s this young Frenchman began to change maps from things of the arts to matters of science. At a time when the great rulers such as Louis XIV knew little about the countries they ruled, he began to use triangulation surveys to permanently shift and fix continents and islands on the map, and even settled the age-old argument about the length of the Mediterranean Sea (41 degrees). The work of Deslisle and his kin led to the first mapping of Russia, or Muscovia as it was known at the time, and eventually influenced the French Minister for Home Affairs and advisor to Louis the XIV, Jean Colbert, to push for the mapping of France.

In 1663, Colbert ordered that each French province’s maps be examined to see if they were of sufficient quality. If they were not, qualified surveys were to be undertaken. This eventually led to Abbe Jean Picard overseeing the first precisely measured chain of triangles and topographical surveys around Paris – the two preliminary foundations to accurate mapping. The extension of this process led to France being mapped and became the standard practice for scientific mapmakers. It was used in the cartographic expeditions used in Lapland and Peru discussed in my last cartographic blog, in mapping the Himalayas, the English countryside and, the Grand Canyon and everywhere else in the world.

But the work of Deslisle and Picard had unforeseen impacts. Like the magic in my books, the new maps seriously revised France’s boundaries and coastal outline. The world’s shape was changed again – all because of three points.

Myths, Latitude and the Financial Shape of the Earth

Myths, Latitude and the Financial Shape of the Earth

Despite the myths and rumors of a flat earth promulgated during the Middle Ages, most scientific minds over the centuries have known the world was a sphere. Clues to this came from the fact that boats sailing away disappeared gradually as if they sank from view, and did not simply diminish in size. The Greek philosopher and mathematician, Pythagoras, hypothesized that earth was a sphere based on the fact that the sphere is ‘the most perfect of forms’. If the sun and moon were such a shape, why not the earth? It was Pythagoras and other Greeks such as Plato and Aristotle who cemented the idea of a spherical earth in European culture.

So people knew the world was round, they just didn’t know the size of it, nor did fully understand its shape.

Estimating the size of the earth also harkens back to the Greeks. Both Aristotle and Archimedes had erroneous estimates of the earth’s circumference, but history hasn’t left any clues as to what those estimates were based on. The

Going to market, Kashgar, China (1998) Photo (c) Karen Abrahamson

Chinese apparently sent two men to measure the earth and they walked it from north to south and east to west before coming up with the result of 134,000 kilometers (hopelessly in error).

The first (known) scientific measurement of the earth’s circumference came from an Egyptian named Eratosthenes during the time of the Ptolemy Kings. He knew of a water well in Southern Egypt where at noon on a certain day of the year the sun shone straight down to the bottom. He also had made observations that on the same day in Alexandria, at noon, there was still a shadow. He hypothesized that if he could measure the angle of the shadow on that day, he should be able to estimate the size of the earth. Using a vertical column he did just that, measuring the distance of the shadow from the base of the column. Then, with the length of the column, and the length of the shadow, he could calculate the third side of the triangle and determine the angel of the sun’s rays. Using basic geometry he was able to hypothesize that the earth was 46,000 kilometers in circumference – too large since we know today that the circumference is about 40,000 kilometers – but not too shabby for a man working with only a shadow and a column.

The debate about the actual size and shape of the earth continued over the centuries, with various other size estimates coming to prominence at different times. Contributing to the issue was the debate over the actual length of a degree, a debate that raged for centuries. This led to numerous ‘thinking men’ attempting to determine the length of a degree through methods ranging from counting the turns of a carriage wheel as it travelled between two points, to taking laborious chain measures of distance across the English countryside. It took debates of Newtonian and Cassini theories to help scientists realize that they were – in a word – wrong – about there being a definitive length of a degree.

You see, Newton formulated the theory of universal gravitation and that centrifugal force would mean that the earth could not be perfectly round. If he was right, due to the earth’s spin, the earth would be flattened at the poles and would bulge at the equator. Refuting this was the work of French scientist, Jacques Cassini, who had found that the length of a degree seemed to get slightly shorter at the poles compared to the equator. He theorized that this meant that the earth was shaped more like an egg, with poles drawn out and the equator flattened.

It took two expeditions in the 1700s, one to Peru and Ecuador, and other to Lapland, to settle the issue. While the trip to Peru dealt with altitude sickness, unfriendly Indians and disease, the expedition to Lapland had to race winters to take measurements. The team in Lapland completed their measurements after two years and found that the length of a degree was significantly longer in the north than a degree measured in France, thus proving that the earth was indeed compressed on the poles and bulging towards the equator. The poor Peruvian team spent nine years completing their mission, and confirming Newton’s theory, only to discover that their work was redundant.

But what they showed was that the length of a degree will depend on the latitude:

  • The east-west degree at the equator = 111.321 kilometers, however the circumference along a meridional circle is 67.2 kilometers shorter.
  • The north-south degree at the equator = 110.567 kilometers and the
  • The north south degree at the poles = 111.9 (or 1.4 km longer)

All of which may be where the phrase ‘giving someone some latitude’ comes from: What they do (and how far they go) will depend on where they’re standing.

Which could explain the disparity in approach the Germans and Greeks are espousing to deal with the Eurozone financial crisis. It’s all latitude.

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