Triangle (English Wikipedia)

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

Last modified: 12:56:31, 12 August 2026 (UTC)

Ref.Un. Ref.Website

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3129books.google.com

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3029doi.org

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77archive.org

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66jstor.org

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55ams.org

434^th place

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33hdl.handle.net

66^th place

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22maa.org

4,358^th place

2,907^th place

11collinsdictionary.com

1,831^st place

1,216^th place

11proquest.com

121^st place

59^th place

11st-andrews.ac.uk

1,053^rd place

1,274^th place

11web.archive.org

1^st place

11cambridge.org

209^th place

151^st place

11worldcat.org

4^th place

11heldermann-verlag.de

low place

11cuny.edu

2,325^th place

1,345^th place

11uic.edu

6,212^th place

3,934^th place

ams.org (Global: 434^th place; English: 249^th place)

mathscinet.ams.org

Edmonds, Allan L.; Hajja, Mowaffaq; Martini, Horst (2008). "Orthocentric simplices and biregularity". Results in Mathematics. 52 (1–2): 41–50. doi:10.1007/s00025-008-0294-4. MR 2430410. It is well known that the incenter of a Euclidean triangle lies on its Euler line connecting the centroid and the circumcenter if and only if the triangle is isosceles.
Richmond, Bettina; Richmond, Thomas (1997). "Metric spaces in which all triangles are degenerate". The American Mathematical Monthly. 104 (8): 713–719. doi:10.1080/00029890.1997.11990706. JSTOR 2975234. MR 1476755.
Meisters 1975. Meisters, G. H. (1975). "Polygons have ears". The American Mathematical Monthly. 82 (6): 648–651. doi:10.2307/2319703. JSTOR 2319703. MR 0367792.
Chandran & Mount 1992. Chandran, Sharat; Mount, David M. (1992). "A parallel algorithm for enclosed and enclosing triangles". International Journal of Computational Geometry & Applications. 2 (2): 191–214. doi:10.1142/S0218195992000123. MR 1168956.
Ballmann 1995, p. viii+112. Ballmann, Werner (1995). Lectures on spaces of nonpositive curvature. DMV Seminar 25. Basel: Birkhäuser Verlag. pp. viii+112. ISBN 3-7643-5242-6. MR 1377265.

archive.org (Global: 6^th place; English: 6^th place)

Byrne 2013, pp. xx–xxi. Byrne, Oliver (2013) [1847]. The First Six Books of the Elements of Euclid (facsimile ed.). TASCHEN GmbH. ISBN 978-3-8365-4471-9.
Heath 1926, p. 187, Definition 20. Heath, Thomas L. (1926). The Thirteen Books of Euclid's Elements. Vol. 1 (2nd ed.). Cambridge University Press. hdl:2027/uva.x001426155. Dover reprint, 1956. SBN 486-60088-2.
- Lardner (1840), p. Lardner, Dionysius (1840). A Treatise on Geometry and Its Application in the Arts. The Cabinet Cyclopædia. London.
- - Lardner (1840), p. Lardner, Dionysius (1840). A Treatise on Geometry and Its Application in the Arts. The Cabinet Cyclopædia. London.
  - Cromwell (1997), p. 341. Cromwell, Peter R. (1997). Polyhedra. Cambridge University Press. ISBN 978-0-521-55432-9.
  - Heath 1926, Proposition 32. Heath, Thomas L. (1926). The Thirteen Books of Euclid's Elements. Vol. 1 (2nd ed.). Cambridge University Press. hdl:2027/uva.x001426155. Dover reprint, 1956. SBN 486-60088-2.
  - Heath 1926, Propositions 36–41. Heath, Thomas L. (1926). The Thirteen Books of Euclid's Elements. Vol. 1 (2nd ed.). Cambridge University Press. hdl:2027/uva.x001426155. Dover reprint, 1956. SBN 486-60088-2.
  books.google.com (Global: 3^rd place; English: 3^rd place)
  - Lang & Murrow 1988, p. 4. Lang, Serge; Murrow, Gene (1988). Geometry: A High School Course (2nd ed.). Springer. doi:10.1007/978-1-4757-2022-8. ISBN 978-1-4757-2022-8.
  - Stahl 2003, p. 37. Stahl, Saul (2003). Geometry from Euclid to Knots. Prentice-Hall. ISBN 0-13-032927-4.
  - Ryan 2008, p. Ryan, Mark (2008). Geometry For Dummies. John Wiley & Sons. ISBN 978-0-470-08946-0.
    Guillermo (2012), p. 161. Guillermo, Artemio R. (2012). Historical Dictionary of the Philippines. Scarecrow Press. ISBN 978-0-8108-7246-2.
    Montroll (2009), p. 4. Montroll, John (2009). Origami Polyhedra Design. A K Peters. ISBN 978-1-4398-7106-5.
    Holme 2010, p. 210. Holme, A. (2010). Geometry: Our Cultural Heritage. Springer. doi:10.1007/978-3-642-14441-7. ISBN 978-3-642-14441-7.
    Holme 2010, p. 143. Holme, A. (2010). Geometry: Our Cultural Heritage. Springer. doi:10.1007/978-3-642-14441-7. ISBN 978-3-642-14441-7.
    Lang & Murrow 1988, p. 126–127. Lang, Serge; Murrow, Gene (1988). Geometry: A High School Course (2nd ed.). Springer. doi:10.1007/978-1-4757-2022-8. ISBN 978-1-4757-2022-8.
    Lang & Murrow 1988, p. 128. Lang, Serge; Murrow, Gene (1988). Geometry: A High School Course (2nd ed.). Springer. doi:10.1007/978-1-4757-2022-8. ISBN 978-1-4757-2022-8.
    Anglin & Lambek 1995, p. 30. Anglin, W. S.; Lambek, J. (1995). The Heritage of Thales. Springer. doi:10.1007/978-1-4612-0803-7. ISBN 978-1-4612-0803-7.
    Ryan 2008, p. 105. Ryan, Mark (2008). Geometry For Dummies. John Wiley & Sons. ISBN 978-0-470-08946-0.
    King 2021, p. 153. King, James R. (2021). Geometry Transformed: Euclidean Plane Geometry Based on Rigid Motions. American Mathematical Society. ISBN 978-1-4704-6443-1.
    Ryan 2008, p. 106. Ryan, Mark (2008). Geometry For Dummies. John Wiley & Sons. ISBN 978-0-470-08946-0.
    Ryan 2008, p. 104. Ryan, Mark (2008). Geometry For Dummies. John Wiley & Sons. ISBN 978-0-470-08946-0.
    King 2021, p. 155. King, James R. (2021). Geometry Transformed: Euclidean Plane Geometry Based on Rigid Motions. American Mathematical Society. ISBN 978-1-4704-6443-1.
    Schattschneider, Doris; King, James (1997). Geometry Turned On: Dynamic Software in Learning, Teaching, and Research. The Mathematical Association of America. pp. 3–4. ISBN 978-0-88385-099-2.
    Ryan 2008, p. 102. Ryan, Mark (2008). Geometry For Dummies. John Wiley & Sons. ISBN 978-0-470-08946-0.
    Holme 2010, p. 240. Holme, A. (2010). Geometry: Our Cultural Heritage. Springer. doi:10.1007/978-3-642-14441-7. ISBN 978-3-642-14441-7.
    Ramsay & Richtmyer 1995, p. 38. Ramsay, Arlan; Richtmyer, Robert D. (1995). Introduction to Hyperbolic Geometry. Springer. doi:10.1007/978-1-4757-5585-5. ISBN 978-1-4757-5585-5.
    Young 2017, p. 27. Young, Cynthia (2017). Trigonometry (4th ed.). John Wiley & Sons. ISBN 978-1-119-32113-2.
    Axler 2012, p. 634. Axler, Sheldon (2012). Algebra and Trigonometry. John Wiley & Sons. ISBN 978-0470-58579-5.
    Ryan 2008, p. 98. Ryan, Mark (2008). Geometry For Dummies. John Wiley & Sons. ISBN 978-0-470-08946-0.
    Jordan & Smith 2010, p. 834. Jordan, D. W.; Smith, P. (2010). Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences (4th ed.). Oxford University Press. ISBN 978-0-19-928201-2.
    Hann 2014, p. Hann, Michael (2014). Structure and Form in Design: Critical Ideas for Creative Practice. A&C Black. ISBN 978-1-4725-8431-1.
    Vahedi & van der Stappen 2008, p. 73. Vahedi, Mostafa; van der Stappen, A. Frank (2008). "Caging Polygons with Two and Three Fingers". In Akella, Srinivas; Amato, Nancy M.; Huang, Wesley; Mishra, Bud (eds.). Algorithmic Foundation of Robotics VII: Selected Contributions of the Seventh International Workshop on the Algorithmic Foundations of Robotics. doi:10.1007/978-3-540-68405-3. ISBN 978-3-540-68405-3.
    Pocchiola & Vegter 1999, p. 259. Pocchiola, Michel; Vegter, Gert (1999). "On Polygonal Covers". In Chazelle, Bernard; Goodman, Jacob E.; Pollack, Richard (eds.). Advances in Discrete and Computational Geometry: Proceedings of the 1996 AMS-IMS-SIAM Joint Summer Research Conference, Discrete and Computational Geometry—Ten Years Later, July 14-18, 1996, Mount Holyoke College. American Mathematical Soc. ISBN 978-0-8218-0674-6.
    Devadoss & O'Rourke 2011, p. 93. Devadoss, Satyan L.; O'Rourke, Joseph (2011). Discrete and Computational Geometry. Princeton University Press. ISBN 978-0-691-14553-2.
    Nielsen 2021, p. 154. Nielsen, Frank (2021). "On Geodesic Triangles with Right Angles in a Dually Flat Space". In Nielsen, Frank (ed.). Progress in Information Geometry: Theory and Applications. Signals and Communication Technology. Springer. doi:10.1007/978-3-030-65459-7. ISBN 978-3-030-65458-0.
    Frame, Michael; Urry, Amelia (21 June 2016). Fractal Worlds: Grown, Built, and Imagined. Yale University Press. p. 21. ISBN 978-0-300-22070-4.
    cambridge.org (Global: 209^th place; English: 151^st place)
    Kimberling, Clark (March 2008). "Twenty-one points on the nine-point circle". The Mathematical Gazette. 92 (523): 29–38. doi:10.1017/S002555720018249X. ISSN 0025-5572.
    collinsdictionary.com (Global: 1,831^st place; English: 1,216^th place)
    "TRIGON definition and meaning | Collins English Dictionary". www.collinsdictionary.com. 19 May 2026. Retrieved 18 June 2026.
    cuny.edu (Global: 2,325^th place; English: 1,345^th place)
    math.csi.cuny.edu
    Polking, John C. (25 April 1999). "The area of a spherical triangle. Girard's Theorem". Geometry of the Sphere. Retrieved 19 August 2024.
    doi.org (Global: 2^nd place; English: 2^nd place)
    Lang & Murrow 1988, p. 4. Lang, Serge; Murrow, Gene (1988). Geometry: A High School Course (2nd ed.). Springer. doi:10.1007/978-1-4757-2022-8. ISBN 978-1-4757-2022-8.
    Lang & Murrow 1988, p. Lang, Serge; Murrow, Gene (1988). Geometry: A High School Course (2nd ed.). Springer. doi:10.1007/978-1-4757-2022-8. ISBN 978-1-4757-2022-8.
    Lang & Murrow 1988, p. Lang, Serge; Murrow, Gene (1988). Geometry: A High School Course (2nd ed.). Springer. doi:10.1007/978-1-4757-2022-8. ISBN 978-1-4757-2022-8.
    Lang & Murrow 1988, p. Lang, Serge; Murrow, Gene (1988). Geometry: A High School Course (2nd ed.). Springer. doi:10.1007/978-1-4757-2022-8. ISBN 978-1-4757-2022-8.
    Cundy (1952). Cundy, H. Martyn (1952). "Deltahedra". Mathematical Gazette. 36 (318): 263–266. doi:10.2307/3608204. JSTOR 3608204.
    Holme 2010, p. 210. Holme, A. (2010). Geometry: Our Cultural Heritage. Springer. doi:10.1007/978-3-642-14441-7. ISBN 978-3-642-14441-7.
    Holme 2010, p. 143. Holme, A. (2010). Geometry: Our Cultural Heritage. Springer. doi:10.1007/978-3-642-14441-7. ISBN 978-3-642-14441-7.
    Lang & Murrow 1988, p. 126–127. Lang, Serge; Murrow, Gene (1988). Geometry: A High School Course (2nd ed.). Springer. doi:10.1007/978-1-4757-2022-8. ISBN 978-1-4757-2022-8.
    Lang & Murrow 1988, p. 128. Lang, Serge; Murrow, Gene (1988). Geometry: A High School Course (2nd ed.). Springer. doi:10.1007/978-1-4757-2022-8. ISBN 978-1-4757-2022-8.
    Anglin & Lambek 1995, p. 30. Anglin, W. S.; Lambek, J. (1995). The Heritage of Thales. Springer. doi:10.1007/978-1-4612-0803-7. ISBN 978-1-4612-0803-7.
    Lang & Murrow 1988, p. Lang, Serge; Murrow, Gene (1988). Geometry: A High School Course (2nd ed.). Springer. doi:10.1007/978-1-4757-2022-8. ISBN 978-1-4757-2022-8.
    Edmonds, Allan L.; Hajja, Mowaffaq; Martini, Horst (2008). "Orthocentric simplices and biregularity". Results in Mathematics. 52 (1–2): 41–50. doi:10.1007/s00025-008-0294-4. MR 2430410. It is well known that the incenter of a Euclidean triangle lies on its Euler line connecting the centroid and the circumcenter if and only if the triangle is isosceles.
    Holme 2010, p. 240. Holme, A. (2010). Geometry: Our Cultural Heritage. Springer. doi:10.1007/978-3-642-14441-7. ISBN 978-3-642-14441-7.
    Ramsay & Richtmyer 1995, p. 38. Ramsay, Arlan; Richtmyer, Robert D. (1995). Introduction to Hyperbolic Geometry. Springer. doi:10.1007/978-1-4757-5585-5. ISBN 978-1-4757-5585-5.
    Richmond, Bettina; Richmond, Thomas (1997). "Metric spaces in which all triangles are degenerate". The American Mathematical Monthly. 104 (8): 713–719. doi:10.1080/00029890.1997.11990706. JSTOR 2975234. MR 1476755.
    Braden, Bart (1986). "The Surveyor's Area Formula" (PDF). The College Mathematics Journal. 17 (4): 326–337. doi:10.2307/2686282. JSTOR 2686282. Archived from the original (PDF) on 29 June 2014.
    Meisters 1975. Meisters, G. H. (1975). "Polygons have ears". The American Mathematical Monthly. 82 (6): 648–651. doi:10.2307/2319703. JSTOR 2319703. MR 0367792.
    Oldknow 1995. Oldknow, Adrian (1995). "Computer Aided Research into Triangle Geometry". The Mathematical Gazette. 79 (485 =): 263–274. doi:10.2307/3618298. JSTOR 3618298.
    Kalman 2008. Kalman, Dan (2008). "An Elementary Proof of Marden's Theorem". American Mathematical Monthly. 115 (4): 330–338. doi:10.1080/00029890.2008.11920532.
    Allaire, Zhou & Yao 2012. Allaire, Patricia R.; Zhou, Junmin; Yao, Haishen (2012). "Proving a nineteenth century ellipse identity"". Mathematical Gazette. 96: 161–165. doi:10.1017/S0025557200004277.
    Kimberling, Clark (March 2008). "Twenty-one points on the nine-point circle". The Mathematical Gazette. 92 (523): 29–38. doi:10.1017/S002555720018249X. ISSN 0025-5572.
    Bailey & Bailey, Herbert; Detemple, Duane (1998). "Squares inscribed in angles and triangles". Mathematics Magazine. 71 (4): 278–284. doi:10.1080/0025570X.1998.11996652.
    Smith, Geoff; Leversha, Gerry (November 2007). "Euler and triangle geometry". Mathematical Gazette. 91 (522): 436–452. doi:10.1017/S0025557200182087. JSTOR 40378417.
    Silvester, John R. (March 2017). "Extremal area ellipses of a convex quadrilateral". The Mathematical Gazette. 101 (550): 11–26. doi:10.1017/mag.2017.2.
    Eddy, R. H.; Fritsch, R. (1994). "The Conics of Ludwig Kiepert: A Comprehensive Lesson in the Geometry of the Triangle". Mathematics Magazine. 67 (3): 188–205. doi:10.1080/0025570X.1994.11996212.
    Chandran & Mount 1992. Chandran, Sharat; Mount, David M. (1992). "A parallel algorithm for enclosed and enclosing triangles". International Journal of Computational Geometry & Applications. 2 (2): 191–214. doi:10.1142/S0218195992000123. MR 1168956.
    Vahedi & van der Stappen 2008, p. 73. Vahedi, Mostafa; van der Stappen, A. Frank (2008). "Caging Polygons with Two and Three Fingers". In Akella, Srinivas; Amato, Nancy M.; Huang, Wesley; Mishra, Bud (eds.). Algorithmic Foundation of Robotics VII: Selected Contributions of the Seventh International Workshop on the Algorithmic Foundations of Robotics. doi:10.1007/978-3-540-68405-3. ISBN 978-3-540-68405-3.
    Nielsen 2021, p. 154. Nielsen, Frank (2021). "On Geodesic Triangles with Right Angles in a Dually Flat Space". In Nielsen, Frank (ed.). Progress in Information Geometry: Theory and Applications. Signals and Communication Technology. Springer. doi:10.1007/978-3-030-65459-7. ISBN 978-3-030-65458-0.
    Berger 2002, pp. 134–139. Berger, Marcel (2002). A panoramic view of Riemannian geometry. Springer. doi:10.1007/978-3-642-18245-7. ISBN 978-3-642-18245-7.
    hdl.handle.net (Global: 66^th place; English: 34^th place)
    Heath 1926, p. 187, Definition 20. Heath, Thomas L. (1926). The Thirteen Books of Euclid's Elements. Vol. 1 (2nd ed.). Cambridge University Press. hdl:2027/uva.x001426155. Dover reprint, 1956. SBN 486-60088-2.
    Heath 1926, Proposition 32. Heath, Thomas L. (1926). The Thirteen Books of Euclid's Elements. Vol. 1 (2nd ed.). Cambridge University Press. hdl:2027/uva.x001426155. Dover reprint, 1956. SBN 486-60088-2.
    Heath 1926, Propositions 36–41. Heath, Thomas L. (1926). The Thirteen Books of Euclid's Elements. Vol. 1 (2nd ed.). Cambridge University Press. hdl:2027/uva.x001426155. Dover reprint, 1956. SBN 486-60088-2.
    heldermann-verlag.de (Global: low place; English: low place)
    Moses, Peter; Kimberling, Charles (2009). "Reflection-Induced Perspectivities Among Triangles" (PDF). Journal for Geometry and Graphics. 13 (1): 15–24.
    jstor.org (Global: 23^rd place; English: 15^th place)
    Cundy (1952). Cundy, H. Martyn (1952). "Deltahedra". Mathematical Gazette. 36 (318): 263–266. doi:10.2307/3608204. JSTOR 3608204.
    Richmond, Bettina; Richmond, Thomas (1997). "Metric spaces in which all triangles are degenerate". The American Mathematical Monthly. 104 (8): 713–719. doi:10.1080/00029890.1997.11990706. JSTOR 2975234. MR 1476755.
    Braden, Bart (1986). "The Surveyor's Area Formula" (PDF). The College Mathematics Journal. 17 (4): 326–337. doi:10.2307/2686282. JSTOR 2686282. Archived from the original (PDF) on 29 June 2014.
    Meisters 1975. Meisters, G. H. (1975). "Polygons have ears". The American Mathematical Monthly. 82 (6): 648–651. doi:10.2307/2319703. JSTOR 2319703. MR 0367792.
    Oldknow 1995. Oldknow, Adrian (1995). "Computer Aided Research into Triangle Geometry". The Mathematical Gazette. 79 (485 =): 263–274. doi:10.2307/3618298. JSTOR 3618298.
    Smith, Geoff; Leversha, Gerry (November 2007). "Euler and triangle geometry". Mathematical Gazette. 91 (522): 436–452. doi:10.1017/S0025557200182087. JSTOR 40378417.
    maa.org (Global: 4,358^th place; English: 2,907^th place)
    maa.org
    Braden, Bart (1986). "The Surveyor's Area Formula" (PDF). The College Mathematics Journal. 17 (4): 326–337. doi:10.2307/2686282. JSTOR 2686282. Archived from the original (PDF) on 29 June 2014.
    mathdl.maa.org
    Kalman 2008. Kalman, Dan (2008). "An Elementary Proof of Marden's Theorem". American Mathematical Monthly. 115 (4): 330–338. doi:10.1080/00029890.2008.11920532.
    proquest.com (Global: 121^st place; English: 59^th place)
    Alonso, Orlando Braulio (2009). Making sense of definitions in geometry: Metric-combinatorial approaches to classifying triangles and quadrilaterals (PhD thesis). Teachers College, Columbia University. p. 57. ProQuest 304870039.
    st-andrews.ac.uk (Global: 1,053^rd place; English: 1,274^th place)
    mathshistory.st-andrews.ac.uk
    O'Connor, John J.; Robertson, Edmund F., "Heron of Alexandria", MacTutor History of Mathematics Archive, University of St Andrews
    uic.edu (Global: 6,212^th place; English: 3,934^th place)
    homepages.math.uic.edu
    Wood, John. "LAS 100 — Freshman Seminar — Fall 1996: Reasoning with shape and quantity". Retrieved 19 August 2024.
    web.archive.org (Global: 1^st place; English: 1^st place)
    Braden, Bart (1986). "The Surveyor's Area Formula" (PDF). The College Mathematics Journal. 17 (4): 326–337. doi:10.2307/2686282. JSTOR 2686282. Archived from the original (PDF) on 29 June 2014.
    worldcat.org (Global: 4^th place; English: 4^th place)
    search.worldcat.org
    Kimberling, Clark (March 2008). "Twenty-one points on the nine-point circle". The Mathematical Gazette. 92 (523): 29–38. doi:10.1017/S002555720018249X. ISSN 0025-5572.
    
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Triangle (English Wikipedia)

ams.org (Global: 434th place; English: 249th place)

mathscinet.ams.org

archive.org (Global: 6th place; English: 6th place)

books.google.com (Global: 3rd place; English: 3rd place)

cambridge.org (Global: 209th place; English: 151st place)

collinsdictionary.com (Global: 1,831st place; English: 1,216th place)

cuny.edu (Global: 2,325th place; English: 1,345th place)

math.csi.cuny.edu

doi.org (Global: 2nd place; English: 2nd place)

hdl.handle.net (Global: 66th place; English: 34th place)

heldermann-verlag.de (Global: low place; English: low place)

jstor.org (Global: 23rd place; English: 15th place)

maa.org (Global: 4,358th place; English: 2,907th place)

maa.org

mathdl.maa.org

proquest.com (Global: 121st place; English: 59th place)

st-andrews.ac.uk (Global: 1,053rd place; English: 1,274th place)

mathshistory.st-andrews.ac.uk

uic.edu (Global: 6,212th place; English: 3,934th place)

homepages.math.uic.edu

web.archive.org (Global: 1st place; English: 1st place)

worldcat.org (Global: 4th place; English: 4th place)

search.worldcat.org

ams.org (Global: 434^th place; English: 249^th place)

archive.org (Global: 6^th place; English: 6^th place)

books.google.com (Global: 3^rd place; English: 3^rd place)

cambridge.org (Global: 209^th place; English: 151^st place)

collinsdictionary.com (Global: 1,831^st place; English: 1,216^th place)

cuny.edu (Global: 2,325^th place; English: 1,345^th place)

doi.org (Global: 2^nd place; English: 2^nd place)

hdl.handle.net (Global: 66^th place; English: 34^th place)

jstor.org (Global: 23^rd place; English: 15^th place)

maa.org (Global: 4,358^th place; English: 2,907^th place)

proquest.com (Global: 121^st place; English: 59^th place)

st-andrews.ac.uk (Global: 1,053^rd place; English: 1,274^th place)

uic.edu (Global: 6,212^th place; English: 3,934^th place)

web.archive.org (Global: 1^st place; English: 1^st place)

worldcat.org (Global: 4^th place; English: 4^th place)