Cipher seals

  1. 42
  2. 69
  3. 420
  4. 690

Anchor year

1569

A round world, a flat page.

In 1569 Gerardus Mercator, a Flemish mapmaker living in Duisburg, published a large world map 'for the use of navigators.' On it, a ship that holds a steady compass bearing traces a straight line. The cost is paid at the poles, which swell. The map does not tell the truth about area. It tells a usable truth about direction.

How do you make a round world steerable on a flat page?

HearRead the year

Gerardus Mercator’s 1569 world map, a composite of the eighteen original sheets: meridians vertical, rhumbs as straight lines, polar regions stretched.
Gerardus Mercator, Nova et Aucta Orbis Terrae Descriptio ad Usum Navigantium Emendate Accommodata, Duisburg, 1569. Composite of the eighteen sheets. A constant compass course is a straight line. Area toward the poles is the price. How do you make a round world steerable on a flat page?Wikimedia Commons. Public domain. Basel copy, composite of the 1569 copperplates.
A rhumb as a straight line on a stretched gridA teaching atlas plate. Meridians stay vertical. A diagonal rhumb crosses them as a straight line. Parallels open toward the top to stand for polar stretch. Not Mercator’s 1569 copperplate. Not to geographic scale.A RHUMB AS A STRAIGHT LINEPolar stretch is the price. Not to scale.
Claim-diagram of the same bargain: direction kept, area spent. Abraham Ortelius’s atlas of 1570 is the neighbor that keeps the year honest.
  1. 69
  2. 169
  3. 269
  4. 369
  5. 469
  6. 569
  7. 669
  8. 769
  9. 869
  10. 969
  11. 1069
  12. 1169
  13. 1269
  14. 1369
  15. 1469
  16. 1569
  17. 1669
  18. 1769
  19. 1869
  20. 1969

Spacing is equal because the interval is equal: one century. Quiet years are not compressed. Scroll the spine if needed.

MAP

A map for sailors

Mercator published Nova et Aucta Orbis Terrae Descriptio ad Usum Navigantium Emendate Accommodata, a world map on a conformal projection that renders rhumb lines as straight lines. He did not publish the full mathematical method in 1569. That explanation came later, notably with Edward Wright (1599).

Before

Sea charts, globes, Ptolemy, and the 1500s explosion of Atlantic and Indian Ocean knowledge. Mercator had already made a globe (1541) and been imprisoned for suspected heresy in 1544.

Why

Portolan charts were locally superb and globally awkward. Ptolemaic maps were learned and not made for compass steering. Mercator tried to give navigators a sheet on which direction did not have to be constantly recomputed as a curve.

Who

Gerard de Kremer, born 1512 in Rupelmonde, trained at Louvain, instrument-maker, engraver, and cosmographer. In 1569 he was in Duisburg, not in a ship’s cabin. Sailors were the intended users, not the makers.

Gerardus Mercator (Gerard de Kremer) · Abraham Ortelius (contemporary, different project)

What

A wall-sized engraved world map that keeps angles locally true so that a constant compass course (a rhumb, or loxodrome) appears straight. Areas and distances distort, more and more toward the poles.

How

A projection that stretches meridians toward the poles. Mercator described the use more clearly than the construction. The later analytic form is not what 1569’s readers held in their hands.

The hinge

The hinge is the 1569 sheet itself: a claim that a particular distortion is the right distortion for a particular task.

Where, and when

A workshop in Duisburg. The map’s geography is the world as European compilation then had it: Atlantic, Indian Ocean, incomplete Pacific, invented or guessed polar zones. 1569, as printed on the map. It is a publication year, not a voyage year.

1569 · Duisburg, Duchy of Cleves

What they knew

He knew rhumbs were the sailor’s practical path, not great circles. He knew his map was for steering, not for comparing the true size of continents.

What they could not know

How completely later schoolrooms would treat his projection as 'the' world. How badly Greenland and high-latitude empires would look oversized. GPS, aviation great-circle routes, or the political arguments of the twentieth century about map justice.

Source object

Mercator world map of 1569

Original impressions are rare museum objects. Later copies and facsimiles circulate. This project does not pretend to display the copperplate. It describes the surviving map.

The object survives.

First record

The 1569 map is the first record of this projection in print.

After

Adoption was not instant. Wright’s mathematical treatment (1599) and later tables made it more usable. It became the default nautical and then classroom image of the world.

Later retelling

People say Mercator 'drew the world wrong.' He drew it for a job. The later crime, if there is one, is using a sailors’ tool as a political picture of who is large.

Limit

The projection’s later cultural life is not evidence that 1569 hid a philosophy of empire in a formula. Motive and later use are different questions.

What it does not prove

Does not prove that 69 favors maps, or that Mercator caused later colonial cartography in a single act.

Why it entered

It entered the test because a dated object solves a precise problem of direction, the same problem 1269 had posed with a stone.

Question

How do you make a round world steerable on a flat page?

How we know

  1. 1. Gerardus Mercator. Nova et Aucta Orbis Terrae Descriptio ad Usum Navigantium Emendate Accommodata. Duisburg, 1569.
  2. 2. Edward Wright. Certaine Errors in Navigation. London, 1599. Mathematical treatment of the projection Mercator had used.

Method

independent firsthard

The aperture

NAVIGATION, MATHEMATICS. Independent first. The map is the source object.

Regions checked

  • Europe
  • the Americas
  • South Asia (Mughal Akbar)
  • East Asia (Ming, Japanese unification wars)
  • Africa
  • Middle East (Ottoman)
  • Oceania

Included / excluded

  • Included: Mercator map as primary pattern object
  • Excluded: Union of Lublin as a second co-equal science hit. Independently major political history. Not forced into NAVIGATION. Recorded in global context.

68 | 69 | 70

Same century. Same research threshold. Matched frames. Neither pane brighter except that the middle year is the selected aperture.

1568

Neighbor

Dutch Revolt begins. The Eighty Years’ War is often dated from 1568. A neighbor of enormous political weight.

1569

Aperture

NAVIGATION, MATHEMATICS. Independent first. The map is the source object.

1570

Neighbor

Ortelius’s Theatrum Orbis Terrarum, often called the first modern atlas, is 1570. Abraham Ortelius, Antwerp. A neighbor map-object of equal seriousness.