[{"language":[{}],"publication_status":"published","volume":147,"oa_version":"Preprint","abstract":[{"lang":"eng"}],"month":"01","intvolume":" 147","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/1709.02562","open_access":"1"}],"creator":{"login":"apreinsp","id":"4435EBFC-F248-11E8-B48F-1D18A9856A87"},"date_updated":"2023-08-24T14:48:59Z","department":[{"tree":[{"_id":"ResearchGroups"},{"_id":"IST"}],"_id":"HeEd"}],"_id":"6050","status":"public","type":"journal_article","day":"01","publication":"Proceedings of the American Mathematical Society","dc":{"title":["Two circles and only a straightedge"],"creator":["Akopyan, Arseniy","Fedorov, Roman"],"rights":["info:eu-repo/semantics/openAccess"],"language":["eng"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"publisher":["AMS"],"date":["2019"],"description":["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. "],"identifier":["https://research-explorer.ista.ac.at/record/6050"],"source":["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"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1090/proc/14240","info:eu-repo/semantics/altIdentifier/wos/000450363900008","info:eu-repo/semantics/altIdentifier/arxiv/1709.02562"]},"isi":1,"date_published":"2019-01-01T00:00:00Z","date_created":"2019-02-24T22:59:19Z","page":"91-102","uri_base":"https://research-explorer.ista.ac.at","quality_controlled":"1","oa":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"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.","ista":"Akopyan A, Fedorov R. 2019. Two circles and only a straightedge. Proceedings of the American Mathematical Society. 147, 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","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.","short":"A. Akopyan, R. Fedorov, Proceedings of the American Mathematical Society 147 (2019) 91–102."},"dini_type":"doc-type:article","author":[{"last_name":"Akopyan","orcid":"0000-0002-2548-617X","first_name":"Arseniy","id":"430D2C90-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Roman","last_name":"Fedorov"}],"external_id":{"isi":[],"arxiv":[]},"article_processing_charge":"No"}]