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.

MML Identifier: EUCLID_3

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)

Bibliography

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Received May 29, 2003


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