[{"month":"01","day":"01","type":"journal_article","department":[{"_id":"HeEd"}],"language":[{"iso":"eng"}],"date_updated":"2019-08-02T12:39:09Z","author":[{"last_name":"Akopyan","full_name":"Akopyan, Arseniy","first_name":"Arseniy","id":"430D2C90-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Fedorov","full_name":"Fedorov, Roman","first_name":"Roman"}],"date_created":"2019-02-24T22:59:19Z","title":"Two circles and only a straightedge","_id":"6050","oa":1,"external_id":{"arxiv":["1709.02562"]},"date_published":"2019-01-01T00:00:00Z","publisher":"AMS","doi":"10.1090/proc/14240","intvolume":" 147","abstract":[{"text":"We answer a question of David Hilbert: given two circles it is not possible in general to construct their centers using only a straightedge. On the other hand, we give infinitely many families of pairs of circles for which such construction is possible. ","lang":"eng"}],"quality_controlled":"1","volume":147,"publication_status":"published","page":"91-102","citation":{"ista":"Akopyan A, Fedorov R. 2019. Two circles and only a straightedge. Proceedings of the American Mathematical Society. 147, 91–102.","ieee":"A. Akopyan and R. Fedorov, “Two circles and only a straightedge,” *Proceedings of the American Mathematical Society*, vol. 147, pp. 91–102, 2019.","short":"A. Akopyan, R. Fedorov, Proceedings of the American Mathematical Society 147 (2019) 91–102.","ama":"Akopyan A, Fedorov R. Two circles and only a straightedge. *Proceedings of the American Mathematical Society*. 2019;147:91-102. doi:10.1090/proc/14240","apa":"Akopyan, A., & Fedorov, R. (2019). Two circles and only a straightedge. *Proceedings of the American Mathematical Society*, *147*, 91–102. https://doi.org/10.1090/proc/14240","mla":"Akopyan, Arseniy, and Roman Fedorov. “Two Circles and Only a Straightedge.” *Proceedings of the American Mathematical Society*, vol. 147, AMS, 2019, pp. 91–102, doi:10.1090/proc/14240.","chicago":"Akopyan, Arseniy, and Roman Fedorov. “Two Circles and Only a Straightedge.” *Proceedings of the American Mathematical Society* 147 (2019): 91–102. https://doi.org/10.1090/proc/14240."},"year":"2019","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1709.02562"}],"publication":"Proceedings of the American Mathematical Society","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","status":"public","oa_version":"Preprint"}]