-
Pierre Laurent Wantzel (5 June 1814 in
Paris – 21 May 1848 in Paris) was a
French mathematician who
proved that
several ancient geometric problems were...
- A full
proof of
necessity was
given by
Pierre Wantzel in 1837. The
result is
known as the Gauss–
Wantzel theorem: A
regular n-gon can be
constructed with...
- only two tools: an
unmarked straightedge and a comp****. In 1837,
Pierre Wantzel proved that the problem, as stated, is
impossible to
solve for arbitrary...
-
famous straightedge-and-comp****
problems were
proved impossible by
Pierre Wantzel in 1837
using field theory,
namely trisecting an
arbitrary angle and doubling...
-
nonexistence of a comp****-and-straightedge
solution was
finally proven by
Pierre Wantzel in 1837. In
algebraic terms,
doubling a unit cube
requires the construction...
- A full
proof of
necessity was
given by
Pierre Wantzel in 1837. The
result is
known as the Gauss–
Wantzel theorem. Equivalently, a
regular n-gon is constructible...
- 1843. A
simplification of Abel's
proof was
published by
Pierre Wantzel in 1845. When
Wantzel published it, he was
already aware of the
contributions by Galois...
-
formula when the
equation has
three real,
different roots by
Pierre Laurent Wantzel in 1843,
Vincenzo Mollame in 1890, Otto Hölder in 1891, and
Adolf Kneser...
- and
straightedge but
could only
trisect certain angles. In 1837,
Pierre Wantzel showed that this
construction could not be
performed for most angles. In...
-
never published a proof.
Pierre Wantzel gave a full
proof of
necessity in 1837. The
result is
known as the Gauss–
Wantzel theorem: An n-sided
regular polygon...
