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Minkowski Linear Combinations of Two Line Segments

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α
0.8
β
0.5
show α A
show β B
show origin and construction lines
A Minkowski linear combination of two subsets of points in Euclidean space, say
A
and
B
, is given by the set of all sums
αa+βb
, where
a∈A
and
b∈B
for given real numbers
α
and
β
.
This Demonstration shows Minkowski linear combinations of two line segments.

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