Journal of Formalized Mathematics
Volume 14, 2002
University of Bialystok
Copyright (c) 2002 Association of Mizar Users

## General Fashoda Meet Theorem for Unit Circle

Yatsuka Nakamura
Shinshu University, Nagano

### Summary.

Outside and inside Fashoda theorems are proven for points in general position on unit circle. Four points must be ordered in a sense of ordering for simple closed curve. For preparation of proof, the relation between the order and condition of coordinates of points on unit circle is discussed.

#### MML Identifier: JGRAPH_5

The terminology and notation used in this paper have been introduced in the following articles [1] [18] [11] [9] [17] [20] [8] [4] [5] [10] [2] [7] [12] [19] [16] [6] [3] [15] [14] [13]

#### Contents (PDF format)

1. Preliminaries
2. Fashoda Meet Theorems for Circle in Special Case
3. Properties of Fan Morphisms
4. Order of Points on Circle
5. General Fashoda Theorems

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