共線 (幾何)

註釋

1. 這個概念基本上適用於所有幾何學[2]，但是經常只討論了於球面幾何學的定義[4][6]

參考文獻

1. ^ Dembowski, Peter, Finite geometries, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 44, Berlin, New York: Springer-Verlag, 1968, ISBN 3-540-61786-8, MR 0233275
2. ^ Dembowski (1968，pg. 26)[1]
3. ^ Coxeter, H. S. M., Introduction to Geometry, New York: John Wiley & Sons, 1969, ISBN 0-471-50458-0
4. ^ Coxeter (1969，pg. 168)[3]
5. ^ Brannan, David A.; Esplen, Matthew F.; Gray, Jeremy J., Geometry, Cambridge: Cambridge University Press, 1998, ISBN 0-521-59787-0
6. Brannan，Esplen & Gray (1998，pg.106)[5]
7. ^ Colinear (Merriam-Webster dictionary). merriam-webster. [2016-07-18]. （原始内容存档于2019-05-28）.
8. ^ Kimberling, Clark, X(20) = de Longchamps point, Encyclopedia of Triangle Centers, [2012-09-06], （原始内容存档于2012-04-19）.
9. ^ Vandeghen, A., Mathematical Notes: Soddy's Circles and the De Longchamps Point of a Triangle, The American Mathematical Monthly, 1964, 71 (2): 176–179, MR 1532529, doi:10.2307/2311750.
10. ^ Coxeter, H. S. M., Some applications of trilinear coordinates, Linear Algebra and its Applications, 1995,, 226/228: 375–388, MR 1344576, doi:10.1016/0024-3795(95)00169-R. See in particular Section 5, "Six notable points on the Euler line", pp. 380–383.
11. ^ Longuet-Higgins, Michael, A fourfold point of concurrence lying on the Euler line of a triangle, The Mathematical Intelligencer, 2000, 22 (1): 54–59, MR 1745563, doi:10.1007/BF03024448.
12. ^ Dušan Djukić, Vladimir Janković, Ivan Matić, Nikola Petrović, The IMO Compendium, Springer, 2006, p. 15.
13. ^ Myakishev, Alexei, On Two Remarkable Lines Related to a Quadrilateral (PDF), Forum Geometricorum, 2006, 6: 289–295 [2016-08-09], （原始内容存档 (PDF)于2019-12-31）