Trillium theorem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Trillium theorem" in English language version.

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ams.org

mathscinet.ams.org

Yiu, Paul (2012), "Conic construction of a triangle from its incenter, nine-point center, and a vertex" (PDF), Journal for Geometry and Graphics, 16 (2): 171–183, MR 3088369

archive.org

Weisstein, Eric W. (1999). CRC Concise Encyclopedia of Mathematics. CRC Press. "Excenter–Excenter Circle" p. 591, "Incenter–Excenter Circle" p. 894. ISBN 0849396409. Republished at MathWorld: "Excenter–Excenter Circle", "Incenter–Excenter Circle".
Johnson, Roger A. (1929). "X. Inscribed and Escribed Circles". Modern Geometry. Houghton Mifflin. pp. 182–194.

arxiv.org

Garcia, Ronaldo; Odehnal, Boris; Reznik, Dan (2022). "Loci of poncelet triangles in the general closure case". Journal of Geometry. 113 (1): 17. arXiv:2108.05430. doi:10.1007/s00022-022-00629-3.

books.google.com

Aref, M. N.; Wernick, William (1968). Problems and Solutions in Euclidean Geometry. Dover. 3.3(i), p. 68. ISBN 9780486477206..
Chou, Shang-Ching; Gao, Xiao-Shan; Zhang, Jingzhong (1994). Machine Proofs in Geometry. World Scientific. Examples 6.145 and 6.146, pp. 328–329. ISBN 9789810215842..

cut-the-knot.org

Bogomolny, Alexander. "A Property of Circle Through the Incenter". Cut-the-Knot. Retrieved 2016-01-26.
Bogomolny, Alexander. "Midpoints of the Lines Joining In- and Excenters". Cut-the-Knot. Retrieved 2016-01-26.

doi.org

Garcia, Ronaldo; Odehnal, Boris; Reznik, Dan (2022). "Loci of poncelet triangles in the general closure case". Journal of Geometry. 113 (1): 17. arXiv:2108.05430. doi:10.1007/s00022-022-00629-3.
Morris, Richard (1928), "Circles through notable points of the triangle", The Mathematics Teacher, 21 (2): 63–71, doi:10.5951/MT.21.2.0069, JSTOR 27951001. See in particular the discussion on p. 65 of circles $BIC$ , $CIA$ , $AIB$ , and their centers.

fau.edu

math.fau.edu

Yiu, Paul (2012), "Conic construction of a triangle from its incenter, nine-point center, and a vertex" (PDF), Journal for Geometry and Graphics, 16 (2): 171–183, MR 3088369

geometry.ru

Trillium theorem: И. А. Кушнир. "Это открытие - золотой ключ Леонарда Эйлера" (PDF) (in Russian). Ф7 (Теорема трилистника), page 34; proof on page 36.

Trident lemma: Р. Н. Карасёв; В. Л. Дольников; И. И. Богданов; А. В. Акопян. "Задачи для школьного математического кружка" (PDF) (in Russian). Problem 1.2. p. 4.{{cite web}}: CS1 maint: location (link)

jstor.org

Morris, Richard (1928), "Circles through notable points of the triangle", The Mathematics Teacher, 21 (2): 63–71, doi:10.5951/MT.21.2.0069, JSTOR 27951001. See in particular the discussion on p. 65 of circles $BIC$ , $CIA$ , $AIB$ , and their centers.

mosolymp.ru

math.mosolymp.ru

"6. Лемма о трезубце" (PDF) (in Russian). СУНЦ МГУ им. М. В. Ломоносова - школа им. А.Н. Колмогорова. 2014-10-29.

rkarasev.ru

Trillium theorem: И. А. Кушнир. "Это открытие - золотой ключ Леонарда Эйлера" (PDF) (in Russian). Ф7 (Теорема трилистника), page 34; proof on page 36.

Trident lemma: Р. Н. Карасёв; В. Л. Дольников; И. И. Богданов; А. В. Акопян. "Задачи для школьного математического кружка" (PDF) (in Russian). Problem 1.2. p. 4.{{cite web}}: CS1 maint: location (link)

srce.hr

hrcak.srce.hr

Le, Nguyen; Wildberger, Norman (2016). "Incenter Symmetry, Euler Lines, and Schiffler Points". KoG. 20 (20): 22–30.

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. (1999). CRC Concise Encyclopedia of Mathematics. CRC Press. "Excenter–Excenter Circle" p. 591, "Incenter–Excenter Circle" p. 894. ISBN 0849396409. Republished at MathWorld: "Excenter–Excenter Circle", "Incenter–Excenter Circle".