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Princet later discussed those ideas with many other Cubists, from Braque to Duchamp, as they invented the first new way to represent reality on a flat surface since Brunelleschi's linear perspective.
In doing so, however, Mercator encountered a challenge that was as old as the craft of mapmaking itself: how can a curved surface be accurately represented on a flat plane?
Place the map on a flat surface.
He merged a sense of aesthetic clarity with the mathematical rigor of science to reimagine the Mercator projection, a method for representing the round earth on a flat surface that had prevailed for the better part of four centuries.
If a branching diagram had not been used, and only the names of the groups had been written in a linear series, it would have been still less possible to have given a natural arrangement; and it is notoriously not possible to represent in a series, on a flat surface, the affinities which we discover in nature amongst the beings of the same group.
Cartography, the art and science of graphically representing a geographical area, usually on a flat surface such as a map or chart.
Other techniques are also used with a great degree of skill; the large figures on the rear are chased, with St Michael's wings being represented on the flat surface of the door in delicate stippled or pointillé work using punches, which is too detailed to see in most photographs, and indeed hard to see on the original.
Place one upper on a flat surface.
Lay one tissue on a flat surface.
Such a chart had to embody a practical method of representing the curved meridians and parallels on a flat surface.
"Not just on a flat surface.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com