Cartography · Antiquity to Renaissance · 240 BCE–1600 CE

Ancient & Renaissance Cartography

Long before satellites or aircraft, a Greek scholar in Egypt worked out the size of the entire planet using nothing but a stick, a well, and the angle of the midday sun. The mathematical foundations he and his successors built would shape mapmaking for the next two thousand years.

The 1507 Waldseemüller map, the first map to use the name America
The Waldseemüller map (1507) — the first printed map to use the name "America." Only one copy survives, now at the Library of Congress. Wikimedia Commons, public domain.

Cartography began as mathematics, not exploration. The most consequential advances in this period came not from sailors charting new coastlines but from scholars working out, through pure geometry and observation, how to represent a curved planet on a flat surface at all.

Eratosthenes and the Shadow Method

Around 240 BCE, Eratosthenes, chief librarian at the Library of Alexandria, learned that at noon on the summer solstice, the sun shone directly down a well in Syene (modern Aswan), casting no shadow at all. On the same day in Alexandria, he measured the shadow angle of a vertical stick and found it to be roughly 7.2 degrees — about one-fiftieth of a full circle. Knowing the approximate distance between the two cities, he multiplied it by fifty and arrived at a figure for the Earth's circumference that lands remarkably close to the modern measurement of roughly 40,075 kilometres, depending on which ancient unit of distance he was actually using.

This wasn't a lucky guess — it was a genuine application of geometric reasoning to a planetary-scale problem, achieved with instruments no more sophisticated than a stick and a well.

Ptolemy's Geographia

Around 150 CE, the Alexandrian scholar Claudius Ptolemy compiled the Geographia, cataloguing coordinates — latitude and longitude — for roughly 8,000 locations across the known world, and, critically, introducing systematic methods for projecting a curved Earth onto a flat map. Ptolemy's own coordinate errors were often substantial (he significantly underestimated the Earth's true circumference, a mistake later inherited by Columbus's own calculations), but his underlying mathematical framework — that location could be captured through a coordinate system and translated through defined projections — became the conceptual foundation cartography still rests on.

c. 240 BCE
Eratosthenes
Calculates Earth's circumference using shadow angles between Syene and Alexandria.
c. 150 CE
Ptolemy's Geographia
Catalogues ~8,000 coordinates and introduces systematic map projections.
1475–1477
Geographia Reprinted
Latin printed editions spark direct interest fuelling the Age of Discovery.
1507
Waldseemüller's Map
First map to use the name "America," honouring Amerigo Vespucci.

Urbano Monte's Planisphere

In 1587, a Milanese nobleman named Urbano Monte — a gentleman scholar rather than a professional cartographer, who researched from libraries rather than voyages — completed the largest known world map of the early modern era: sixty hand-drawn manuscript sheets, meant to be pasted onto a ten-foot wooden panel and rotated on a central pin driven through the North Pole. He specified the assembly instructions himself in the map's dedication. For over four hundred years, no one actually built it. The sheets survived instead bound flat inside an atlas, their true scale invisible.

That changed in 2017, when the David Rumsey Map Center at Stanford acquired one of only two surviving manuscript copies and digitally stitched all sixty sheets together for the first time — finally revealing Monte's map exactly as he had conceived it: a single vast circular planisphere over three metres across.

Urbano Monte's 1587 planisphere, digitally assembled from its original 60 manuscript sheets
Urbano Monte's 1587 planisphere, digitally reassembled from its 60 original manuscript sheets by the David Rumsey Map Center, Stanford Libraries (2017) — the first time it had been seen as Monte intended in over 430 years. Wikimedia Commons, public domain.

The map uses an azimuthal equidistant projection centred on the North Pole — every point plotted at its true proportional distance from that centre — a genuinely advanced choice for 1587 that would not become common in mapmaking for another three centuries. Monte's ambitions went beyond geography: the planisphere layers in regional climate, local customs, and length-of-day data, an attempt at what its cataloguers call a "universal scientific planisphere" rather than a simple coastline chart.

It is also, unmistakably, a document of its time. Alongside genuinely researched detail — his depiction of Japan is unusually accurate, likely informed by the Japanese embassy that visited Milan in 1585, an encounter that appears to have sparked his interest in cartography in the first place — the map is scattered with mermaids, unicorns, and other imagined creatures in the unmapped corners of the world. Science and fantasy sit side by side without any apparent tension between them.

A small honest detail: Monte's own self-portrait appears on the map, and it's been altered. In 1589, two years after finishing the planisphere, he pasted an updated portrait of himself at 45 directly on top of the original 1587 version, made when he was 43. The later portrait is hinged and can still be lifted to reveal the one underneath — a rare physical trace of an author revising his own work after the fact.

The Printing-Press Revolution

1477
Geographia in Print
The first printed Latin edition of Ptolemy's work turns a scholar's manuscript into a mass-reproducible reference — mapmaking moves out of royal courts and into wider circulation.
1507
Waldseemüller's World Map
German cartographer Martin Waldseemüller produces the first map naming the new continent "America" after Amerigo Vespucci's accounts.
1569
Mercator's Projection
Gerardus Mercator publishes his navigational projection, preserving compass bearings at the cost of distorting area near the poles.
1570
The First Modern Atlas
Abraham Ortelius publishes Theatrum Orbis Terrarum — a uniformly bound collection of maps, establishing the atlas as a format still used today.
1587
Monte's Planisphere
Urbano Monte completes the largest known early world map — sixty sheets, unassembled and unrecognised in scale until Stanford digitally joined them in 2017.

The Legacy

Every subsequent debate about map projections — including the modern reckoning with Mercator's own distortions, covered elsewhere in this collection — inherits its basic vocabulary and mathematical framing directly from this period. Eratosthenes proved the planet could be measured; Ptolemy proved location could be systematically coordinated and projected. Everything since has been refinement of that basic premise, not a departure from it.

The Honest History
Ptolemy's underestimate of the Earth's circumference wasn't a minor footnote — it directly shaped Christopher Columbus's own miscalculation of the distance to Asia, a genuine historical case of an ancient error influencing events nearly 1,500 years later.
Connections
This period connects to the Library of Alexandria (Eratosthenes's own institution), the Mercator Problem (the projection debate this foundation eventually produced), and Medieval Worldviews (the parallel traditions developing alongside this one).