Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. Plural form of geometer.
Etymologies
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Examples

The famous spiral of the geometers is the general plan followed by the

Thus, the geometers of Ancient Greece recognised, we live in a threedimensional world.

Instead, geometers showed that if one wrote down an uptodate version of Euclid's other assumptions, in the form of a theory T, then it was possible to find models of T which fail to satisfy the parallel postulate.

So the old question, whether Euclid's parallel postulate (as a statement about space) was deducible from Euclid's other assumptions about space, was no longer interesting to geometers.

To start from clear principles ¦ then to make progress step by step, patiently, painstakingly, at a pace that the rules of deductive logic discipline with extreme severity: this is what German genius excels at; the German esprit is essentially esprit de gÃ©omÃ©trie ¦ The Germans are geometers, they are not subtle [fin]; the Germans completely lack esprit de finesse.

Differential geometers of the stature of Lie and Cartan relied on their use in the formulation of concepts which would later be put on a

In order to fit these experiences into an atheist framework, I would have to resort to endless ad hoc explanations: this lacks the elegance of geometers and parsimony of philosophers.

This is the method of reductio ad absurdum familiar to ancient Greek geometers and modern formal logicians and mathematicians.

Since Archytas 'duplication of the cube shows him to be one of the leading solid geometers of the time, it is hard to avoid the conclusion that Plato regarded him as one of the arrogant experts, who focused on solving charming problems but failed to produce a coherent discipline of solid geometry.

Just as some adherents of the ˜empirical™ school tend to regard cosmology as a testing ground for their extrapolations and as a legitimate playground for the geometers, so some adherents of the deductive approach appear to regard cosmology as a purely logical subject.
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