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Mercator projection

Mercator projection is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Mercator projection rather than just read about it. In short: The Mercator projection () is a conformal cylindrical map projection first presented by Flemish geographer and mapmaker Gerardus Mercator in 1569. In the 18th century, it became the standard map projection for navigation due to its property of representing rhumb lines as straight lines.

Mercator projection — main illustration
Mercator projection — illustration

Key takeaways

  • Mercator projection belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Mercator projection to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Mercator projection from memory before moving on to harder problems.

Reference excerpt

The Mercator projection () is a conformal cylindrical map projection first presented by Flemish geographer and mapmaker Gerardus Mercator in 1569. In the 18th century, it became the standard map projection for navigation due to its property of representing rhumb lines as straight lines. When applied to world maps, the Mercator projection inflates the size of lands the farther they are from the equator. Therefore, landmasses such as Greenland and Antarctica appear far larger than they actually are relative to landmasses near the equator. Its use for maps other than marine charts declined throughout the 20th century, but resurged in the 21st century due to characteristics favorable for World-Wide-Web maps.

History Joseph Needham, a historian of China, speculated that some star charts of the Chinese Song dynasty may have been drafted on the Mercator projection; however, this claim was presented without evidence, and astronomical historian Kazuhiko Miyajima concluded using cartometric analysis that these charts used an equirectangular projection instead. In the 13th century, the earliest extant portolan charts of the Mediterranean sea, which are generally not believed to be based on any deliberate map projection, included windrose networks of criss-crossing lines which could be used to help set a ship's bearing in sailing between locations on the chart; the region of Earth covered by such charts was small enough that a course of constant bearing would be approximately straight on the chart. The charts have startling accuracy not found in the maps constructed by contemporary European or Arab scholars, and their construction remains enigmatic; based on cartometric analysis which seems to contradict the scholarly consensus, they have been speculated to have originated in some unknown pre-medieval cartographic tradition, possibly evidence of some ancient understanding of the Mercator projection. German polymath Erhard Etzlaub engraved miniature "compass maps" (about 10×8 cm) of Europe and parts of Africa that spanned latitudes 0°–67° to allow adjustment of his portable pocket-size sundials. The projection found on these maps, dating to 1511, was stated by John Snyder in 1987 to be the same projection as Mercator's. However, given the geometry of a sundial, these maps may well have been based on the similar central cylindrical projection, a limiting case of the gnomonic projection, which is the basis for a sundial. Snyder amended his assessment to "a similar projection" in 1993. Portuguese mathematician and cosmographer Pedro Nunes first described the mathematical principle of the rhumb line or loxodrome, a path with constant bearing as measured relative to true north, which can be used in marine navigation to pick which compass bearing to follow. In 1537, he proposed constructing a nautical atlas composed of several large-scale sheets in the equirectangular projection as a way to minimize distortion of directions. If these sheets were brought to the same scale and assembled, they would approximate the Mercator projection.

… excerpt ends here. Continue reading the full article.

Illustrations

Mercator projection: Mercator projection of the world between 85°S and 85°N. Note the size comparison of Greenland and Africa, and the massive inflation of Antarctica's landmass
Mercator projection of the world between 85°S and 85°N. Note the size comparison of Greenland and Africa, and the massive inflation of Antarctica's landmass
Mercator projection: The Mercator projection with Tissot's indicatrix of deformation.
The Mercator projection with Tissot's indicatrix of deformation.
Mercator projection: Mercator's 1569 world map (Nova et Aucta Orbis Terrae Descriptio ad Usum Navigantium Emendate Accommodata) showing latitudes 66°S to 80°N.
Mercator's 1569 world map (Nova et Aucta Orbis Terrae Descriptio ad Usum Navigantium Emendate Accommodata) showing latitudes 66°S to 80°N.
Mercator projection: Rhumb lines on Mercator's 1541 globe
Rhumb lines on Mercator's 1541 globe
Mercator projection: Comparison of tangent and secant forms of normal, oblique and transverse Mercator projections with standard parallels in red
Comparison of tangent and secant forms of normal, oblique and transverse Mercator projections with standard parallels in red

Worked examples

Example 1 — a first encounter with Mercator projection

Start with the simplest possible case. Write down what Mercator projection claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Mercator projection before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Mercator projection ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Mercator projection

In research
Mercator projection appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Mercator projection in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Mercator projection is common in secondary-school and first-year university syllabi. It links to neighbouring topics 16th-century inventions, Conformal projections, Cylindrical projections, so understanding it makes those chapters shorter.
In everyday life
Look for Mercator projection outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Mercator projection in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Mercator projection means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Mercator projection out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Mercator projection in simple terms?

The Mercator projection () is a conformal cylindrical map projection first presented by Flemish geographer and mapmaker Gerardus Mercator in 1569. In the 18th century, it became the standard map projection for navigation due to its property of representing rhumb lines as straight lines.

Why does Mercator projection matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Mercator projection?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Mercator projection.

Tags

  • 16th-century inventions
  • Conformal projections
  • Cylindrical projections
  • Early modern Netherlandish cartography

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