EXPANDING THE PROBLEMS OR FRUITFUL RESULTS OF SIMPLE QUESTIONS IN MATHEMATICS
Journal Title: Scientific Journal of the Military University of Land Forces - Year 2015, Vol 175, Issue 1
Abstract
In this article, three famous, ancient geometric problems (angle trisection, squaring the circle, and the Delian problem) are described as expanding mathematical prob-lems, i.e., a transition from the problems already solved to new problems of a higher level.The author recalled centuries of work by mathematicians trying to solve the above mentioned problems of geometry.It was emphasized that only the use of algebra in the nineteenth century made it pos-sible to give (unfortunately negative) answer to the question about the feasibility of these geometry structures.The article highlights the need for putting simple questions (e.g. in the category of “expanding problems”). Asking such questions may lead to new, not always easy, but often interesting problems.
Authors and Affiliations
Piotr PIETRASZKIEWICZ
Keywords
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