Journal of Formalized Mathematics
Volume 15, 2003
University of Bialystok
Copyright (c) 2003
Association of Mizar Users
Angle and Triangle in Euclidian Topological Space
-
Akihiro Kubo
-
Shinshu University, Nagano
-
Yatsuka Nakamura
-
Shinshu University, Nagano
Summary.
-
Two transformations between the complex space
and 2-dimensional Euclidian
topological space are defined. By them,
the concept of argument is induced to 2-dimensional vectors using
argument of complex number. Similarly, the concept of an angle is introduced
using the angle of two complex numbers.
The concept of a triangle and related concepts are also defined
in $n$-dimensional Euclidian topological spaces.
The terminology and notation used in this paper have been
introduced in the following articles
[17]
[20]
[19]
[21]
[3]
[13]
[22]
[4]
[8]
[18]
[12]
[5]
[14]
[16]
[9]
[2]
[6]
[7]
[1]
[11]
[10]
[15]
Contents (PDF format)
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Received May 29, 2003
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