Preprints of the Keldysh Institute of Applied Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Keldysh Institute preprints:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Preprints of the Keldysh Institute of Applied Mathematics, 2003, 094, 18 pp. (Mi ipmp967)  

On a necessary and sufficient cyclicity condition for a quadrilateral

S. Yu. Sadov
Abstract: A convex quadrilateral with sides $a$, $b$, $c$, $d$ and diagonals $p$, $q$ is cyclic iff $abp-bcq+cdp-daq=0$. This condition, in spite of its simplicity, appears to be unnoted and unexpectedly proof-resilient. We employ advanced methods of computer algebra and nonlinear analysis.
Document Type: Preprint
Language: Russian
Citation: S. Yu. Sadov, “On a necessary and sufficient cyclicity condition for a quadrilateral”, Keldysh Institute preprints, 2003, 094, 18 pp.
Citation in format AMSBIB
\Bibitem{Sad03}
\by S.~Yu.~Sadov
\paper On a necessary and sufficient cyclicity condition for a quadrilateral
\jour Keldysh Institute preprints
\yr 2003
\papernumber 094
\totalpages 18
\mathnet{http://mi.mathnet.ru/ipmp967}
Linking options:
  • https://www.mathnet.ru/eng/ipmp967
  • https://www.mathnet.ru/eng/ipmp/y2003/p94
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
    Statistics & downloads:
    Abstract page:112
    Full-text PDF :15
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024