Trapezoid (English Wikipedia)

Murray, James (1926). "Trapezium". A New English Dictionary on Historical Principles: Founded Mainly on the Materials Collected by the Philological Society. Vol. X. Clarendon Press at Oxford. p. 286, also see "Trapezoid", pp. 286–287.
Morrow, Glenn R., ed. (1970). Proclus: A commentary on the first book of Euclid's Elements. Princeton University Press. §§ 169–174, pp. 133–137.

books.google.com

Usiskin & Griffin 2008, p. 29. Usiskin, Zalman; Griffin, Jennifer (2008). The Classification of Quadrilaterals: A Study of Definition. Information Age Publishing. pp. 49–52, 63–67.
Alsina & Nelsen 2020, p. 90. Alsina, Claudi; Nelsen, Roger (2020). A Cornucopia of Quadrilaterals. Mathematical Association of America. ISBN 978-1-4704-5312-1.
Alsina & Nelsen 2020, p. 89. Alsina, Claudi; Nelsen, Roger (2020). A Cornucopia of Quadrilaterals. Mathematical Association of America. ISBN 978-1-4704-5312-1.
Usiskin & Griffin 2008, p. 32. Usiskin, Zalman; Griffin, Jennifer (2008). The Classification of Quadrilaterals: A Study of Definition. Information Age Publishing. pp. 49–52, 63–67.
Conway, Burgiel & Goodman-Strauss 2016, p. 286. Conway, John H.; Burgiel, Heidi; Goodman-Strauss, Chaim (2016). The Symmetries of Things. CRC Press. ISBN 978-1-4398-6489-0.
Alsina & Nelsen 2020, p. 90–91. Alsina, Claudi; Nelsen, Roger (2020). A Cornucopia of Quadrilaterals. Mathematical Association of America. ISBN 978-1-4704-5312-1.
Alsina & Nelsen 2020, p. 212. Alsina, Claudi; Nelsen, Roger (2020). A Cornucopia of Quadrilaterals. Mathematical Association of America. ISBN 978-1-4704-5312-1.
Alsina & Nelsen 2020, p. 91. Alsina, Claudi; Nelsen, Roger (2020). A Cornucopia of Quadrilaterals. Mathematical Association of America. ISBN 978-1-4704-5312-1.
Dodge 2012, p. 117. Dodge, Clayton W. (2012). Euclidean Geometry and Transformations. Dover Books on Mathematics. Courier Corporation. ISBN 9780486138428.
Dodge 2012, p. 84. Dodge, Clayton W. (2012). Euclidean Geometry and Transformations. Dover Books on Mathematics. Courier Corporation. ISBN 9780486138428.
Puttaswamy, T. K. (2012). Mathematical Achievements of Pre-modern Indian Mathematicians. Elsevier. p. 156. ISBN 978-0-12-397913-1.
Alsina & Nelsen 2020, p. 96. Alsina, Claudi; Nelsen, Roger (2020). A Cornucopia of Quadrilaterals. Mathematical Association of America. ISBN 978-1-4704-5312-1.
Owen Byer, Felix Lazebnik and Deirdre Smeltzer, Methods for Euclidean Geometry, Mathematical Association of America, 2010, p. 55.
John L. Capinera (11 August 2008). Encyclopedia of Entomology. Springer Science & Business Media. pp. 386, 1062, 1247. ISBN 978-1-4020-6242-1.
Daniels, Jerry (1996). Digital Design from Zero to One. John Wiley & Sons. p. 203. ISBN 978-0-471-12447-4.
Alsina & Nelsen 2020, p. 93. Alsina, Claudi; Nelsen, Roger (2020). A Cornucopia of Quadrilaterals. Mathematical Association of America. ISBN 978-1-4704-5312-1.
Alsina & Nelsen (2020), p. 102. Alsina, Claudi; Nelsen, Roger (2020). A Cornucopia of Quadrilaterals. Mathematical Association of America. ISBN 978-1-4704-5312-1.

doi.org

Craine, Timothy V.; Rubenstein, Rheta N. (1993). "A Quadrilateral Hierarchy to Facilitate Learning in Geometry". The Mathematics Teacher. 86 (1): 30–36. doi:10.5951/MT.86.1.0030. JSTOR 27968085.
Popovic, Gorjana (2012). "Who is This Trapezoid, Anyway?". Mathematics Teaching in the Middle School. 18 (4): 196–199. doi:10.5951/mathteacmiddscho.18.4.0196. JSTOR 10.5951/mathteacmiddscho.18.4.0196. ResearchGate:259750174.
Skidell, Akiva (1977). "The Harmonic Mean: A Nomograph, and some Problems". The Mathematics Teacher. 70 (1): 30–34. doi:10.5951/MT.70.1.0030. JSTOR 27960699.
Hoehn, Larry (1984). "A Geometrical Interpretation of the Weighted Mean". Two-Year College Mathematics Journal. 15 (2): 135–139. doi:10.1080/00494925.1984.11972762 (inactive 2 April 2025).{{cite journal}}: CS1 maint: DOI inactive as of April 2025 (link)
Apostol, Tom M.; Mnatsakanian, Mamikon A. (December 2004). "Figures Circumscribing Circles" (PDF). American Mathematical Monthly. 111 (10): 853–863. doi:10.2307/4145094. JSTOR 4145094. Retrieved 2016-04-06.
Gamer, Carlton; Roeder, David W.; Watkins, John J. (1985). "Trapezoidal numbers". Mathematics Magazine. 58 (2): 108–110. doi:10.2307/2689901. JSTOR 2689901.

efunda.com

"Centroid, Area, Moments of Inertia, Polar Moments of Inertia, & Radius of Gyration of a General Trapezoid". www.efunda.com. Retrieved 2024-05-15.

fau.edu

forumgeom.fau.edu

Josefsson 2013, p. 35. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, Prop. 5. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, Thm. 6. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, Thm. 8. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, Thm. 15. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, p. 25. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, p. 26. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, p. 31. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, Cor. 11. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, Thm. 12. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.

gogeometry.com

"Machu Picchu Lost City of the Incas – Inca Geometry". gogeometry.com. Retrieved 2018-02-13.

jstor.org

Craine, Timothy V.; Rubenstein, Rheta N. (1993). "A Quadrilateral Hierarchy to Facilitate Learning in Geometry". The Mathematics Teacher. 86 (1): 30–36. doi:10.5951/MT.86.1.0030. JSTOR 27968085.
Popovic, Gorjana (2012). "Who is This Trapezoid, Anyway?". Mathematics Teaching in the Middle School. 18 (4): 196–199. doi:10.5951/mathteacmiddscho.18.4.0196. JSTOR 10.5951/mathteacmiddscho.18.4.0196. ResearchGate:259750174.
Garfield, James (1876). "Pons Asinorum". New England Journal of Education. 3 (14): 161. ISSN 2578-4145. JSTOR 44764657.
Skidell, Akiva (1977). "The Harmonic Mean: A Nomograph, and some Problems". The Mathematics Teacher. 70 (1): 30–34. doi:10.5951/MT.70.1.0030. JSTOR 27960699.
Hoehn, Larry (1984). "A Geometrical Interpretation of the Weighted Mean". Two-Year College Mathematics Journal. 15 (2): 135–139. doi:10.1080/00494925.1984.11972762 (inactive 2 April 2025).{{cite journal}}: CS1 maint: DOI inactive as of April 2025 (link)
Apostol, Tom M.; Mnatsakanian, Mamikon A. (December 2004). "Figures Circumscribing Circles" (PDF). American Mathematical Monthly. 111 (10): 853–863. doi:10.2307/4145094. JSTOR 4145094. Retrieved 2016-04-06.
Gamer, Carlton; Roeder, David W.; Watkins, John J. (1985). "Trapezoidal numbers". Mathematics Magazine. 58 (2): 108–110. doi:10.2307/2689901. JSTOR 2689901.

maa.org

Apostol, Tom M.; Mnatsakanian, Mamikon A. (December 2004). "Figures Circumscribing Circles" (PDF). American Mathematical Monthly. 111 (10): 853–863. doi:10.2307/4145094. JSTOR 4145094. Retrieved 2016-04-06.

math.ru

Petrov, F. V. (2009). Вписанные четырёхугольники и трапеции в абсолютной геометрии [Cyclic quadrilaterals and trapezoids in absolute geometry] (PDF). Matematicheskoe Prosveschenie. Tret’ya Seriya (in Russian). 13: 149–154.

mathforum.org

Ask Dr. Math (2008), "Area of Trapezoid Given Only the Side Lengths".

mathopenref.com

"Trapezoid – math word definition – Math Open Reference". www.mathopenref.com. Retrieved 2024-05-15.

numericana.com

Michon, Gérard P. "History and Nomenclature". Retrieved 2023-06-09.

researchgate.net

Popovic, Gorjana (2012). "Who is This Trapezoid, Anyway?". Mathematics Teaching in the Middle School. 18 (4): 196–199. doi:10.5951/mathteacmiddscho.18.4.0196. JSTOR 10.5951/mathteacmiddscho.18.4.0196. ResearchGate:259750174.

tandfonline.com

Skidell, Akiva (1977). "The Harmonic Mean: A Nomograph, and some Problems". The Mathematics Teacher. 70 (1): 30–34. doi:10.5951/MT.70.1.0030. JSTOR 27960699.
Hoehn, Larry (1984). "A Geometrical Interpretation of the Weighted Mean". Two-Year College Mathematics Journal. 15 (2): 135–139. doi:10.1080/00494925.1984.11972762 (inactive 2 April 2025).{{cite journal}}: CS1 maint: DOI inactive as of April 2025 (link)

web.archive.org

Josefsson 2013, p. 35. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, Prop. 5. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, Thm. 6. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, Thm. 8. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, Thm. 15. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, p. 25. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, p. 26. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, p. 31. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, Cor. 11. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.
Josefsson 2013, Thm. 12. Josefsson, Martin (2013). "Characterizations of trapezoids" (PDF). Forum Geometricorum. 13: 23–35. Archived from the original (PDF) on 16 June 2013.

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Trapezoid". MathWorld.

worldcat.org

search.worldcat.org

Garfield, James (1876). "Pons Asinorum". New England Journal of Education. 3 (14): 161. ISSN 2578-4145. JSTOR 44764657.