Pierre Laurent Wantzel (June 5, 1814 in Paris – May 21, 1848 in Paris) was a French mathematician who proved that several ancient geometric problems were impossible to solve. Events 70 - Titus and his Roman Legions breach the middle wall of Jerusalem in the Siege of Jerusalem Year 1814 ( MDCCCXIV) was a Common year starting on Saturday (link will display the full calendar of the Gregorian calendar (or a Common Paris (ˈpærɨs in English; in French) is the Capital of France and the country's largest city Events 878 - Syracuse Italy is captured by the Muslim sultan of Sicily. Year 1848 ( MDCCCXLVIII) was a Leap year starting on Saturday (link will display the full calendar of the Gregorian Calendar (or a Leap This article is about the country For a topic outline on this subject see List of basic France topics. A mathematician is a person whose primary area of study and research is the field of Mathematics. Geometry ( Greek γεωμετρία; geo = earth metria = measure is a part of Mathematics concerned with questions of size shape and relative position
In a paper from 1837[1], Wantzel proved that the problems of
- doubling the cube
- trisecting the angle and
- constructing a regular polygon whose number of sides is not the product of a power of 2 and any number of distinct Fermat primes (i. Doubling the cube (also known as The Delian Problem) is one of the three most famous geometric problems unsolvable by Compass and straightedge construction The problem of trisecting the angle is a classic problem of Compass and straightedge constructions of ancient Greek mathematics. In mathematics a constructible polygon is a Regular polygon that can be constructed with compass and straightedge. In Mathematics, a Fermat number, named after Pierre de Fermat who first studied them is a positive integer of the form F_{n} = 2^{2^{ e. that does not fulfill the same conditions proven to be sufficient by Carl Friedrich Gauss)
the solution to which had been sought for thousands of years, particularly by the ancient Greeks, were all impossible to solve if one uses only compass and straightedge. Johann Carl Friedrich Gauss (ˈɡaʊs, Gauß Carolus Fridericus Gauss ( 30 April 1777 – 23 February 1855) was a German Pentagon constructgif|thumb|right|Construction of a regular pentagon]] Compass-and-straightedge or ruler-and-compass construction is the construction of lengths or Angles
References
- ^ M. [sic] L. Sic is a Latin word meaning "thus" "so" "as such" or "just as that" Wantzel (1837). "Recherches sur les moyens de reconnaître si un Problème de Géométrie peut se résoudre avec la règle et le compas". Journal de Mathématiques Pures et Appliquées 1 (2): 366–372.
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