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A simplified line is necessary because the fully mathematical curve previously proposed can be difficult to implement in the real world of football, which has thousands of tournaments at all \u2013economic and generational\u2013levels of the sport. The idea behind the proposal is that the game and its fairness can be improved if the penalty area is drawn according to mathematics or a measure of actual scoring chance.<\/jats:p>","DOI":"10.2478\/ijcss-2018-0010","type":"journal-article","created":{"date-parts":[[2019,1,9]],"date-time":"2019-01-09T04:32:17Z","timestamp":1547008337000},"page":"175-181","source":"Crossref","is-referenced-by-count":1,"title":["Geometric simplification of a new penalty area for football"],"prefix":"10.2478","volume":"17","author":[{"given":"C. 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