The century-old topic of point and line configurations straddles the fence between projective geometry and combinatorics. In this article we shall be concerned mainly with the geometric approach and will attempt to highlight certain aspects of such configurations that we find very interesting. We hope the reader will agree. These aspects seem not to be widely known, possibly because of the confusing nature of the usual terminology, and-even more-due to the general decline in familiarity with geometric facts. Also, although there is a great amount of known material, it is scattered in many papers, a large fraction of which appeared in rather inaccessible journals. Unfortunately, there is no book that would present a reasonable account of such material. It is remarkable that in an elementary topic such as configurations, there are still many unsolved questions, and that fruitful connections to other branches of mathematics and its applications are fueling a renewed interest. The reason for the following pages is the hope that they may help awaken in our students (and in other readers) an interest in geometry. The paper may also afford them a chance to “try their wings” in independently developing a nontrivial but easily accessible topic, and to experience the fact that “elementary” questions may be hard enough to have resisted solution even to this day. Although the material of this note traditiofally would appear in the context of projective geometry, the reader may consider that all the points and lines are in the ordinary Euclidean plane. Many of the references are given for the sake of historical interest and understanding of the development, and we do not expect the reader to spend much time looking for them.
Terms of Use: This is an academic paper. Students should NOT copy our materials word to word, as we DO NOT encourage Plagiarism. Only use as a guide in developing your original research work. Thanks.
Disclaimer: All undertaking works, records, and reports posted on this website, eprojectguide.com are the property/copyright of their individual proprietors. They are for research reference/direction purposes and the works are publicly supported. Do not present another person’s work as your own to maintain a strategic distance from counterfeiting its results. Use it as a guide and not duplicate the work in exactly the same words (verbatim). eprojectguide.com is a vault of exploration works simply like academia.edu, researchgate.net, scribd.com, docsity.com, course hero, and numerous different stages where clients transfer works. The paid membership on eprojectguide.com is a method by which the site is kept up to help Open Education. In the event that you see your work posted here, and you need it to be eliminated/credited, it would be ideal if you call us on +2348064699975 or send us a mail along with the web address linked to the work, to eprojectguide@gmail.com. We will answer to and honor each solicitation. Kindly note notification it might take up to 24 – 48 hours to handle your solicitation.