Poncelet, Jean Victor

Poncelet, Jean Victor

(zhäN` vēktôr` pôNslā`), 1788–1867, French mathematician and army engineer. He taught at the school of mechanics at Metz and at the Faculté des Sciences and the École Polytechnique, both in Paris. While a prisoner of war (1813–14) in Russia during Napoleon I's campaign, he evolved the foundations of the modern form of projective geometryprojective geometry,
branch of geometry concerned with those properties of geometric figures that remain invariant under projection. The basic elements are points, lines, and planes, and the following statements are usually taken as assumptions: (1) two points lie in a unique
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 and incorporated his results in Traité des propriétés projectives des figures (1822; 2d ed., 2 vol., 1865–66).
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