Sylvester's problem and random chords

1997 ◽  
Vol 37 (3) ◽  
pp. 243-245
Author(s):  
E. Gečiauskas
Keyword(s):  
Sylvester’S Problem

A Conjecture Related to Sylvester's Problem

1983 ◽  
Vol 90 (6) ◽  
pp. 389-390 ◽  
Author(s):  
Peter Borwein ◽  
Michael Edelstein
Keyword(s):  
Sylvester’S Problem

Some Dual Problems of Geometric Probability in the Plane

1993 ◽  
Vol 2 (1) ◽  
pp. 11-23 ◽  
Author(s):  
John Gates
Keyword(s):  
Combinatorial Geometry ◽  
Chord Length ◽  
Geometric Probability ◽  
Dual Problems ◽  
Sylvester’S Problem

A definition is adopted for convexity of a set of directed lines in the plane. Following this, the duals of a number of standard problems of geometric probability are formulated. Problems considered in detail are the duals of Sylvester's problem, chord length distributions and Ambartzumian's combinatorial geometry. The paper suggests some questions for further work.

scholarly journals Sylvester's problem of the 15 schoolgirls

1974 ◽  
Vol 9 (3) ◽  
pp. 229-233 ◽  
Author(s):  
R.H.F. Denniston
Keyword(s):  
Sylvester’S Problem

A Conjecture Related to Sylvester's Problem

1983 ◽  
Vol 90 (6) ◽  
pp. 389 ◽  
Author(s):  
Peter Borwein ◽  
Michael Edelstein
Keyword(s):  
Sylvester’S Problem
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