Original scientific paper

Measure of long segments intersecting both sides of a Kite as a basis for arbitrary pairs of segments

Roger Böttcher ; Händelstr. 1, Ludwigshafen am Rhein, Germany

Abstract

Geometrical probabilities concerning randomly placed segments in relation to certain objects are based on translation-invariant measures of sets containing all appropriate configurations
of the moveable segments.Hence it is an advantage to have far reaching sets and measures of elementary events of such type.
Here we consider a set of segments that intersect both sides of a so-called "Kite'' which consists itself of two symmetrically positioned segments.
This result is sufficient to cover all measures of segments that intersect a pair of two arbitrary placed segments in the plane.

Keywords

principle of inclusion-exclusion; invariant measure; geometrical probability

Hrčak ID:

93301

URI

https://hrcak.srce.hr/93301

Publication date:

5.12.2012.

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