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Generalized Fashoda meet theorem for unit circle . . .
"... Here we will prove meet theorem for the unit circle and for a square, when 4 points on the boundary are ordered cyclically. Also, the concepts of general rectangle and general circle are defined. ..."
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Here we will prove meet theorem for the unit circle and for a square, when 4 points on the boundary are ordered cyclically. Also, the concepts of general rectangle and general circle are defined.
The Fashoda Meet Theorem and Its Variants
"... Abstract – In this paper, we describe results of the formalization in Mizar of an extension of the Goboard Theorem called the Fashoda Meet Theorem [4]. This theorem states that the graphs of two continuous functions which take values in the Euclidean plane always have at least one common point if th ..."
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Abstract – In this paper, we describe results of the formalization in Mizar of an extension of the Goboard Theorem called the Fashoda Meet Theorem [4]. This theorem states that the graphs of two continuous functions which take values in the Euclidean plane always have at least one common point if these functions satisfy certain conditions.
General Fashoda Meet Theorem for Unit Circle Yatsuka Nakamura
"... 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 discuss ..."
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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.