[{"oa_version":"Preprint","quality_controlled":"1","publisher":"AMS","page":"91-102","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"}],"date_created":"2019-02-24T22:59:19Z","language":[{"iso":"eng"}],"_id":"6050","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. AMS, pp. 91–102, 2019.","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","short":"A. Akopyan, R. Fedorov, Proceedings of the American Mathematical Society 147 (2019) 91–102.","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.","apa":"Akopyan, A., & Fedorov, R. (2019). Two circles and only a straightedge. *Proceedings of the American Mathematical Society*. AMS. https://doi.org/10.1090/proc/14240","chicago":"Akopyan, Arseniy, and Roman Fedorov. “Two Circles and Only a Straightedge.” *Proceedings of the American Mathematical Society*. AMS, 2019. https://doi.org/10.1090/proc/14240."},"title":"Two circles and only a straightedge","author":[{"id":"430D2C90-F248-11E8-B48F-1D18A9856A87","last_name":"Akopyan","full_name":"Akopyan, Arseniy","orcid":"0000-0002-2548-617X","first_name":"Arseniy"},{"last_name":"Fedorov","full_name":"Fedorov, Roman","first_name":"Roman"}],"month":"01","date_updated":"2021-01-12T08:05:54Z","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","year":"2019","publication":"Proceedings of the American Mathematical Society","date_published":"2019-01-01T00:00:00Z","volume":147,"external_id":{"arxiv":["1709.02562"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1709.02562"}],"department":[{"_id":"HeEd"}],"oa":1,"intvolume":" 147","type":"journal_article","status":"public","publication_status":"published","doi":"10.1090/proc/14240","day":"01","scopus_import":1}]