elementary theorem
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A theorem of M. L. Urquhart's and some consequences

2007 ◽  
Vol 91 (520) ◽  
pp. 39-50
Author(s):  
R. T. Leslie
Keyword(s):  
Euclidean Geometry ◽  
Straight Line ◽  
Elementary Theorem ◽  
Straight Lines

In an obituary of M. L. Urquhart in [1], David Elliott quotes him as claiming that Urquhart's theorem (below) is the most elementary theorem of Euclidean Geometry ‘since it involves only the concepts of straight line and distance’.Urquhart's theoremLet AC and AE be two straight lines.Let B be a point on AC, D a point on AE, and suppose that BE and CD intersect at F.If AB + BF = AD + DF then AC + CF = AE + EF. (1)

An important elementary theorem in thermodynamics

1986 ◽  
Vol 63 (11) ◽  
pp. 935 ◽  
Author(s):  
Verner Schomaker ◽  
Jurg Waser
Keyword(s):  
Elementary Theorem

59.17 An Elementary Theorem for Simple Polygons

1975 ◽  
Vol 59 (410) ◽  
pp. 266 ◽  
Author(s):  
A. S. Jones
Keyword(s):  
Simple Polygons ◽  
Elementary Theorem

scholarly journals Notes: Correction to "An Elementary Theorem on the Probability of Large Deviations"

1974 ◽  
Vol 2 (6) ◽  
pp. 1357-1357 ◽  
Author(s):  
Timothy J. Killeen ◽  
Thomas P. Hettmansperger ◽  
Gerald Sievers
Keyword(s):  
Large Deviations ◽  
Elementary Theorem
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