Heronian triangle (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Heronian triangle" in English language version.

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Kurz, Sascha (2008). "On the generation of Heronian triangles". Serdica Journal of Computing. 2 (2): 181–196. arXiv:1401.6150. Bibcode:2014arXiv1401.6150K. doi:10.55630/sjc.2008.2.181-196. MR 2473583. S2CID 16060132..
Stănică, Pantelimon; Sarkar, Santanu; Sen Gupta, Sourav; Maitra, Subhamoy; Kar, Nirupam (2013). "Counting Heron triangles with constraints". Integers. 13: Paper No. A3, 17pp. hdl:10945/38838. MR 3083465.

archive.org

Dickson 1920, p. 193. Dickson, Leonard Eugene (1920). "V. Triangles, Quadrilaterals, and Tetrahedra with Rational Sides". History of the Theory of Numbers, Volume II: Diophantine Analysis. Carnegie Institution of Washington. pp. 191–224.
Dickson 1920, p. 199. Dickson, Leonard Eugene (1920). "V. Triangles, Quadrilaterals, and Tetrahedra with Rational Sides". History of the Theory of Numbers, Volume II: Diophantine Analysis. Carnegie Institution of Washington. pp. 191–224.

arxiv.org

Zelator, K., "Triangle Angles and Sides in Progression and the diophantine equation x²+3y²=z²", Cornell Univ. archive, 2008
Fricke, Jan (2002-12-21). "On Heron Simplices and Integer Embedding". arXiv:math/0112239.
Kurz, Sascha (2008). "On the generation of Heronian triangles". Serdica Journal of Computing. 2 (2): 181–196. arXiv:1401.6150. Bibcode:2014arXiv1401.6150K. doi:10.55630/sjc.2008.2.181-196. MR 2473583. S2CID 16060132..

books.google.com

Sang, Edward (1864), "On the theory of commensurables", Transactions of the Royal Society of Edinburgh, 23 (3): 721–760, doi:10.1017/s0080456800020019, S2CID 123752318. See in particular p. 734.

csuohio.edu

grail.eecs.csuohio.edu

Somos, M. (December 2014). "Rational triangles". Archived from the original on 2021-12-20. Retrieved 2018-11-04.

dal.ca

mathstat.dal.ca

Gould, H. W. (February 1973), "A triangle with integral sides and area" (PDF), Fibonacci Quarterly, 11 (1): 27–39.

doi.org

Beauregard, Raymond A.; Suryanarayan, E. R. (January 1998), "The Brahmagupta Triangles" (PDF), College Mathematics Journal, 29 (1): 13–17, doi:10.2307/2687630, JSTOR 2687630
Yiu, Paul (2001). "Heronian triangles are lattice triangles". The American Mathematical Monthly. 108 (3): 261–263. doi:10.1080/00029890.2001.11919751.
Buchholz, Ralph H.; MacDougall, James A. "Cyclic Polygons with Rational Sides and Area". Journal of Number Theory. 128 (1): 17–48. doi:10.1016/j.jnt.2007.05.005.
Buchholz, Ralph H.; MacDougall, James A. (1999). "Heron Quadrilaterals with sides in Arithmetic or Geometric progression". Bulletin of the Australian Mathematical Society. 59 (2): 263–269. doi:10.1017/s0004972700032883. hdl:1959.13/803798.
Blichfeldt, H. F. (1896–1897). "On Triangles with Rational Sides and Having Rational Areas". Annals of Mathematics. 11 (1/6): 57–60. doi:10.2307/1967214. JSTOR 1967214.
Kurz, Sascha (2008). "On the generation of Heronian triangles". Serdica Journal of Computing. 2 (2): 181–196. arXiv:1401.6150. Bibcode:2014arXiv1401.6150K. doi:10.55630/sjc.2008.2.181-196. MR 2473583. S2CID 16060132..
Cheney, William Fitch Jr. (1929). "Heronian Triangles" (PDF). American Mathematical Monthly. 36 (1): 22–28. doi:10.1080/00029890.1929.11986902.
Kocik, Jerzy; Solecki, Andrzej (2009). "Disentangling a triangle" (PDF). American Mathematical Monthly. 116 (3): 228–237. doi:10.1080/00029890.2009.11920932. S2CID 28155804.
Markowitz, L. (1981), "Area = Perimeter", The Mathematics Teacher, 74 (3): 222–3, doi:10.5951/MT.74.3.0222
Sang, Edward (1864), "On the theory of commensurables", Transactions of the Royal Society of Edinburgh, 23 (3): 721–760, doi:10.1017/s0080456800020019, S2CID 123752318. See in particular p. 734.

eudml.org

Kurz, Sascha (2008). "On the generation of Heronian triangles". Serdica Journal of Computing. 2 (2): 181–196. arXiv:1401.6150. Bibcode:2014arXiv1401.6150K. doi:10.55630/sjc.2008.2.181-196. MR 2473583. S2CID 16060132..

evansville.edu

faculty.evansville.edu

Clark Kimberling's Encyclopedia of Triangle Centers "Encyclopedia of Triangle Centers". Retrieved 2012-06-17.

fau.edu

forumgeom.fau.edu

Sastry, K. R. S. (2001). "Heron triangles: A Gergonne-Cevian-and-median perspective" (PDF). Forum Geometricorum. 1 (2001): 17–24.
Clark Kimberling, "Trilinear distance inequalities for the symmedian point, the centroid, and other triangle centers", Forum Geometricorum, 10 (2010), 135−139. http://forumgeom.fau.edu/FG2010volume10/FG201015index.html
Zhou, Li, "Primitive Heronian Triangles With Integer Inradius and Exradii", Forum Geometricorum 18, 2018, 71-77. http://forumgeom.fau.edu/FG2018volume18/FG201811.pdf

math.fau.edu

Yiu, Paul (2008), Heron triangles which cannot be decomposed into two integer right triangles (PDF), 41st Meeting of Florida Section of Mathematical Association of America
Cheney, William Fitch Jr. (1929). "Heronian Triangles" (PDF). American Mathematical Monthly. 36 (1): 22–28. doi:10.1080/00029890.1929.11986902.

handle.net

hdl.handle.net

Buchholz, Ralph H.; MacDougall, James A. (1999). "Heron Quadrilaterals with sides in Arithmetic or Geometric progression". Bulletin of the Australian Mathematical Society. 59 (2): 263–269. doi:10.1017/s0004972700032883. hdl:1959.13/803798.
Stănică, Pantelimon; Sarkar, Santanu; Sen Gupta, Sourav; Maitra, Subhamoy; Kar, Nirupam (2013). "Counting Heron triangles with constraints". Integers. 13: Paper No. A3, 17pp. hdl:10945/38838. MR 3083465.

harvard.edu

ui.adsabs.harvard.edu

Kurz, Sascha (2008). "On the generation of Heronian triangles". Serdica Journal of Computing. 2 (2): 181–196. arXiv:1401.6150. Bibcode:2014arXiv1401.6150K. doi:10.55630/sjc.2008.2.181-196. MR 2473583. S2CID 16060132..

jstor.org

Beauregard, Raymond A.; Suryanarayan, E. R. (January 1998), "The Brahmagupta Triangles" (PDF), College Mathematics Journal, 29 (1): 13–17, doi:10.2307/2687630, JSTOR 2687630
Blichfeldt, H. F. (1896–1897). "On Triangles with Rational Sides and Having Rational Areas". Annals of Mathematics. 11 (1/6): 57–60. doi:10.2307/1967214. JSTOR 1967214.

maa.org

Beauregard, Raymond A.; Suryanarayan, E. R. (January 1998), "The Brahmagupta Triangles" (PDF), College Mathematics Journal, 29 (1): 13–17, doi:10.2307/2687630, JSTOR 2687630

math.ca

fq.math.ca

Carlson, John R. (1970), "Determination of Heronian Triangles" (PDF), Fibonacci Quarterly, 8: 499–506

nodak.edu

listserv.nodak.edu

"LISTSERV - NMBRTHRY Archives - LISTSERV.NODAK.EDU".

oeis.org

Online Encyclopedia of Integer Sequences, OEIS: A011943.

semanticscholar.org

api.semanticscholar.org

Kurz, Sascha (2008). "On the generation of Heronian triangles". Serdica Journal of Computing. 2 (2): 181–196. arXiv:1401.6150. Bibcode:2014arXiv1401.6150K. doi:10.55630/sjc.2008.2.181-196. MR 2473583. S2CID 16060132..
Kocik, Jerzy; Solecki, Andrzej (2009). "Disentangling a triangle" (PDF). American Mathematical Monthly. 116 (3): 228–237. doi:10.1080/00029890.2009.11920932. S2CID 28155804.
Sang, Edward (1864), "On the theory of commensurables", Transactions of the Royal Society of Edinburgh, 23 (3): 721–760, doi:10.1017/s0080456800020019, S2CID 123752318. See in particular p. 734.

siu.edu

lagrange.math.siu.edu

Kocik, Jerzy; Solecki, Andrzej (2009). "Disentangling a triangle" (PDF). American Mathematical Monthly. 116 (3): 228–237. doi:10.1080/00029890.2009.11920932. S2CID 28155804.

web.archive.org

Somos, M. (December 2014). "Rational triangles". Archived from the original on 2021-12-20. Retrieved 2018-11-04.

Heronian triangle (English Wikipedia)

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doi.org

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evansville.edu

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fau.edu

forumgeom.fau.edu

math.fau.edu

handle.net

hdl.handle.net

harvard.edu

ui.adsabs.harvard.edu

jstor.org

maa.org

math.ca

fq.math.ca

nodak.edu

listserv.nodak.edu

oeis.org

semanticscholar.org

api.semanticscholar.org

siu.edu

lagrange.math.siu.edu

web.archive.org

wichita.edu

math.wichita.edu

wolfram.com

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