High Quality Content by WIKIPEDIA articles! In Euclidean geometry, Carnot's theorem, named after Lazare Carnot (1753–1823), is as follows. Let ABC be an arbitrary triangle. Here the sign of the distances is taken negative if and only if the line segment DX (X = F, G, H) lies completely outside the triangle. In the picture DF is negative and both DG and DH are positive. Carnot's theorem is used in a proof of the Japanese theorem for concyclic polygons.
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`This is the story of a dinner party, a knot of people with pasts and connections which at first seem few but are later found to be many … The prevailing mood is urbane: the wine is poured, the talk continues, and all the time the ice on which the protagonists` world rests is being thinned from beneath by boiling emotions and ugly motives … No living writer handles the tension between formality of expression and the subversiveness of thought more elegantly`. Candia McWilliam, Independent on Sunday
ISBN: 978-1-84408-247-6
Издательство:
Little, Brown and Company
Дата выхода: декабрь 2011
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