For someone Bougainville's age, learning new things was already somewhat taxing; he could not absorb them as quickly as younger people.
Yet Captain Cook had learned plane-table surveying during the Seven Years' War, which led him to display his talents in surveying and cartography during the Siege of Quebec. He was therefore responsible for mapping most of the Saint Lawrence River during the siege, allowing the British Army to later launch its assault on the Plains of Abraham.
After the Seven Years' War ended, Captain Cook continued working as a hydrographer in Newfoundland, responsible for mapping the jagged coastline of the island.
There was a "Coastline Paradox" in mathematics and cartography. If someone tried to measure the length of a coastline or the land border between two countries, they would find that the result depended on the scale of the measuring tool used. As the measuring ruler became shorter, the measurement grew increasingly sensitive to the boundary's tiny twists and bends. In theory, when the ruler's length approached zero, the measured length of the coastline approached infinity.
A line was one-dimensional, while a plane was two-dimensional. Because a coastline twisted and turned at different scales, it slightly filled part of a surface, making its dimension lie somewhere between that of a line and a plane.
Of course, no one could use an infinitely small ruler in reality, but this "paradox" demonstrated a kind of "fractional dimension."
Trying to think about such things while dizzy and muddleheaded seemed unlikely to produce any results. Georgiana drew the words on the scroll she had "seen" in her dream as if she were drawing a picture, though she did not recognize those hieroglyphs.
During the Battle of Hogwarts, the magic protecting the school had been fully activated, and a transparent protective shield had appeared