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Published in:
2007 | OriginalPaper | Chapter
Fitting Triangles into Rectangles
Authors : Liping Yuan, Yevgenya Movshovich, Ren Ding
Published in: Discrete Geometry, Combinatorics and Graph Theory
Publisher: Springer Berlin Heidelberg
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A
figure
F
and a
target set
T
are given in the plane. We say that the figure
F
fits
in the target
T
, or, equivalently, the target
T
covers
the figure
F
, when there is a rigid motion
μ
(an isometry of the plane) so that
μ
(
F
) ⊆
T
, i.e., if
T
has a subset
congruent
to
F
. In this paper we find necessary and sufficient conditions for a triangle with sides
a
,
b
,
c
to fit into a rectangle with sides
u
and
v
.