 About 3,370 results  books.google.com 
 books.google.com 
 books.google.com As an application of the previous theorem we shall prove that a rectangle can be
decomposed into finitely many nonoverlapping ... Therefore, by our previous
theorem, b/a is rational. ... The basic idea of the proof of Dehn's theorem is
familiar. 

 books.google.com We will call this more general result the DehnThurston Theorem and will derive
the analogue of this theorem in the setting of train tracks in Theorem 3.1.1. The
remainder of this section is devoted to a discussion of Dehn's Theorem itself; ... 

 books.google.com Thus, Dehn's theorem reduces the trivial link recognition problem to the free
group recognition problem (for some class of groups). In the general case, the
free group recognition problem is undecidable. For more details see [Bir] and [BZ]
. 

 books.google.com There is a similar but simpler rational independence theorem for the tensor
product R & R discussed in the previous set of exercises. 5.7.2. ... Dehn's
theorem The regular tetrahedron is not equidecomposable with the cube. Proof
Ifo is a ... 

 books.google.com SCISSORSCONGRUENCE OF POLYHEDRA AND DEHN'S THEOREM 111 The
problem we are discussing here is called Hilbert's Third Problem. In the same
year (1900), soon after Hilbert presented the problem, his student Max Dehn ... 

 books.google.com Theorem 4.9. Suppose that P is a convex polytope in R", d=3, and G(p) is a bar
framework consisting of the vertices and edges of ... This follows a suggestion of
Lee, which has generated some interest in the various proofs of Dehn's Theorem. 

 books.google.com ... but the formulas below seem to us selfexplanatory), the construction of the
previous section assigns to every convex (actually, not necessarily convex)
polyhedron a certain invariant, Dehn(P) ∈ R ⊗Q (R/πQ), and Dehn's Theorem
states that ... 

 books.google.com Second, which rectangles have perfect squarings? This question is considerably
more difficult to answer. The result below, greatly extending Dehn's theorem (
Theorem 4), was proved by Sprague in 1940. Theorem 5 A rectangle has a
perfect ... 

 