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JEAN VICTOR PONCELET (1788-1867), French mathematician and engineer, was born at Metz on the 1st of July 1788.

00This work entitles Poncelet to rank as one of the greatest of those who took part in the development of the modern geometry of which G.

00Bertrand, Eloge historique de Poncelet (Paris, 1875).

00Between them the general theory of the complex variable, and of the various "infinite" processes of mathematical analysis, was established, while other mathematicians, such as Poncelet, Steiner, Lobatschewsky and von Staudt, were founding modern geometry, and Gauss inaugurated the differential geometry of surfaces.

00Poncelet (1788-1867) and J.

00Poncelet (1788-1867) invented a form of Prony brake which automatically adjusted its grip as µ changed, thereby maintaining F constant.

00Poncelet, from which the work done during a given displacement could be read off directly.

00In this effort he was as successful as were his great contemporaries Poncelet and J.

00Poncelet throughout his work makes continual use of the foregoing theories of imaginaries and infinity, and also of the before-mentioned theory of reciprocal polars.

00Poncelet's two memoirs Sur les centres des moyennes harmoniques and Sur la theorie generale des polaires reciproques, although presented to the Paris Academy in 1824, were only published (Crelle, t.

00There was a reclamation as to priority by Poncelet in the Bulletin universel reprinted with remarks by Gergonne (Gerg.

00It may be remarked that in Poncelet's memoir on reciprocal polars, above referred to, we have the theorem that the number of tangents from a point to a curve of the order m, or say the class of the curve, is in general and at most = m(m - 1), and that he mentions that this number is subject to reduction when the curve has double points or cusps.

00Poncelet, how all problems of the second order can be solved by aid of the straight-edge alone without the use of compasses, as soon as one circle is given on the drawing-paper.

00JEAN VICTOR PONCELET (1788-1867), French mathematician and engineer, was born at Metz on the 1st of July 1788.

00This work entitles Poncelet to rank as one of the greatest of those who took part in the development of the modern geometry of which G.

00Bertrand, Eloge historique de Poncelet (Paris, 1875).

00Between them the general theory of the complex variable, and of the various "infinite" processes of mathematical analysis, was established, while other mathematicians, such as Poncelet, Steiner, Lobatschewsky and von Staudt, were founding modern geometry, and Gauss inaugurated the differential geometry of surfaces.

00Poncelet (1788-1867) and J.

00Poncelet (1788-1867) invented a form of Prony brake which automatically adjusted its grip as µ changed, thereby maintaining F constant.

00Poncelet, from which the work done during a given displacement could be read off directly.

00In this effort he was as successful as were his great contemporaries Poncelet and J.

00The question as to the remaining two intersections did not present itself to Gaultier, but it is answered in Jean Victor Poncelet's Traite des propeietes projectives (1822), where we find (p. 49) the statement, "deux circles places arbitrairement sur un plan ...

00Poncelet throughout his work makes continual use of the foregoing theories of imaginaries and infinity, and also of the before-mentioned theory of reciprocal polars.

00Poncelet's two memoirs Sur les centres des moyennes harmoniques and Sur la theorie generale des polaires reciproques, although presented to the Paris Academy in 1824, were only published (Crelle, t.

00There was a reclamation as to priority by Poncelet in the Bulletin universel reprinted with remarks by Gergonne (Gerg.

00It may be remarked that in Poncelet's memoir on reciprocal polars, above referred to, we have the theorem that the number of tangents from a point to a curve of the order m, or say the class of the curve, is in general and at most = m(m - 1), and that he mentions that this number is subject to reduction when the curve has double points or cusps.

00Poncelet, how all problems of the second order can be solved by aid of the straight-edge alone without the use of compasses, as soon as one circle is given on the drawing-paper.

00