[{"date_created":"2019-02-24T22:59:19Z","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","volume":147,"intvolume":" 147","title":"Two circles and only a straightedge","quality_controlled":"1","abstract":[{"lang":"eng","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. "}],"oa_version":"Preprint","publication":"Proceedings of the American Mathematical Society","page":"91-102","language":[{"iso":"eng"}],"author":[{"first_name":"Arseniy","id":"430D2C90-F248-11E8-B48F-1D18A9856A87","last_name":"Akopyan","full_name":"Akopyan, Arseniy"},{"first_name":"Roman","last_name":"Fedorov","full_name":"Fedorov, Roman"}],"external_id":{"arxiv":["1709.02562"]},"year":"2019","month":"01","day":"01","status":"public","publication_status":"published","doi":"10.1090/proc/14240","_id":"6050","oa":1,"date_updated":"2019-08-02T12:39:09Z","citation":{"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.","short":"A. Akopyan, R. Fedorov, Proceedings of the American Mathematical Society 147 (2019) 91–102.","ista":"Akopyan A, Fedorov R. 2019. Two circles and only a straightedge. Proceedings of the American Mathematical Society. 147, 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","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*, *147*, 91–102. https://doi.org/10.1090/proc/14240","ieee":"A. Akopyan and R. Fedorov, “Two circles and only a straightedge,” *Proceedings of the American Mathematical Society*, vol. 147, pp. 91–102, 2019."},"department":[{"_id":"HeEd"}],"date_published":"2019-01-01T00:00:00Z","main_file_link":[{"url":"https://arxiv.org/abs/1709.02562","open_access":"1"}],"type":"journal_article","publisher":"AMS"}]