Basic Properties of Connecting Points with Line Segments in $\calE^2

Journal of Formalized Mathematics
Volume 4, 1992
University of Bialystok
Copyright (c) 1992 Association of Mizar Users

Basic Properties of Connecting Points with Line Segments in $\calE^2_\rmT$

Yatsuka Nakamura: Shinshu University, Nagano
Jaroslaw Kotowicz: Warsaw University, Bialystok
The article was written during my visit at Shinshu University in 1992.

Summary.

Some properties of line segments in 2-dimensional Euclidean space and some relations between line segments and balls are proved.

MML Identifier: TOPREAL3

The terminology and notation used in this paper have been introduced in the following articles [14] [18] [2] [15] [11] [1] [19] [5] [3] [6] [4] [13] [16] [7] [17] [12] [8] [9] [10]

Contents (PDF format)

Real Numbers Preliminaries
Properties of Line Segments

Bibliography

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[13] Beata Padlewska and Agata Darmochwal. Topological spaces and continuous functions. Journal of Formalized Mathematics, 1, 1989.

[14] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.

[15] Andrzej Trybulec. Subsets of real numbers. Journal of Formalized Mathematics, Addenda, 2003.

[16] Andrzej Trybulec and Czeslaw Bylinski. Some properties of real numbers operations: min, max, square, and square root. Journal of Formalized Mathematics, 1, 1989.

[17] Wojciech A. Trybulec. Pigeon hole principle. Journal of Formalized Mathematics, 2, 1990.

[18] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.

[19] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

Received August 24, 1992

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