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What are geometers?

What are geometers? Here are some definitions.

Noun
  1. plural of geometer
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Ancient Greek geometers knew that the number of solids that can be constructed from regular geometric figures is limited to five.
Halley suggested to him that he might devote his considerable talents to the restoration of the work of the early Greek geometers, such as Euclid and Apollonius of Perga.
Ever since Plato, philosophers have envied geometers their certitudes.
However, Tangencies was lost, and a simple and an elegant solution has escaped the grasp of some of the greatest geometers since.
Pappus of Alexandria is the last of the great Greek geometers and one of his theorems is cited as the basis of modern projective geometry.
However, Schein believes that Goldberg's shapes or cages, as geometers call them are not polyhedra.

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