Desargues

American  

[dey-zarg, dey-zahrg] / deɪˈzarg, deɪˈzɑrg /

noun

1. Gérard 1593–1662, French mathematician.

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Example Sentences

It has been proved28 that Desargues’s theorem cannot be deduced from axioms 1-5, that is, if the geometry be confined to two dimensions.

From Project Gutenberg

This is Desargues’ celebrated theorem if we state it thus:— Theorem of Desargues.—If each of two triangles has one vertex on each of three concurrent lines, then the intersections of corresponding sides lie in a line, those sides being called corresponding which are opposite to vertices on the same line.

From Project Gutenberg

A second important advance followed the recognition that conics could be regarded as projections of a circle, a conception which led at the hands of Desargues and Pascal to modern projective geometry and perspective.

From Project Gutenberg

All the proofs proceed by the method of producing a specification of “points” and “straight lines” which satisfies axioms 1-5, and such that Desargues’s theorem does not hold.

From Project Gutenberg

But it requires Desargues’s theorem, and hence axiom 6, to prove that Harm.

From Project Gutenberg