Cyclic quadrilateral (English Wikipedia)

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

refsWebsite

Global rank English rank

10doi.org

2^nd place

7books.google.com

3^rd place

3web.archive.org

1^st place

3fau.edu

6,442^nd place

4,551^st place

3archive.org

6^th place

3worldcat.org

5^th place

2ams.org

451^st place

277^th place

2jstor.org

26^th place

20^th place

2handle.net

102^nd place

76^th place

1semanticscholar.org

11^th place

8^th place

1clarku.edu

6,602^nd place

6,109^th place

1ijgeometry.com

low place

1imsa.edu

low place

1imomath.com

low place

1cut-the-knot.org

low place

1upit.ro

low place

1wolfram.com

513^th place

537^th place

ams.org

mathscinet.ams.org

Andreescu, Titu; Enescu, Bogdan (2004), "2.3 Cyclic quads", Mathematical Olympiad Treasures, Springer, pp. 44–46, 50, ISBN 978-0-8176-4305-8, MR 2025063
Buchholz, R. H.; MacDougall, J. A. (1999), "Heron quadrilaterals with sides in arithmetic or geometric progression", Bulletin of the Australian Mathematical Society, 59 (2): 263–9, doi:10.1017/S0004972700032883, hdl:1959.13/803798, MR 1680787

archive.org

Andreescu, Titu; Enescu, Bogdan (2004), "2.3 Cyclic quads", Mathematical Olympiad Treasures, Springer, pp. 44–46, 50, ISBN 978-0-8176-4305-8, MR 2025063
Posamentier, Alfred S.; Salkind, Charles T. (1970), "Solutions: 4-23 Prove that the sum of the squares of the measures of the segments made by two perpendicular chords is equal to the square of the measure of the diameter of the given circle.", Challenging Problems in Geometry (2nd ed.), Courier Dover, pp. 104–5, ISBN 978-0-486-69154-1
Lexell, Anders Johan (1786). "De proprietatibus circulorum in superficie sphaerica descriptorum". Acta Academiae Scientiarum Imperialis Petropolitanae. 6: 1782 (1): 58–103, figures tab. 3.

books.google.com

Usiskin, Zalman; Griffin, Jennifer; Witonsky, David; Willmore, Edwin (2008), "10. Cyclic quadrilaterals", The Classification of Quadrilaterals: A Study of Definition, Research in mathematics education, IAP, pp. 63–65, ISBN 978-1-59311-695-8
Andreescu, Titu; Enescu, Bogdan (2004), "2.3 Cyclic quads", Mathematical Olympiad Treasures, Springer, pp. 44–46, 50, ISBN 978-0-8176-4305-8, MR 2025063
Durell, C. V.; Robson, A. (2003) [1930], Advanced Trigonometry, Courier Dover, ISBN 978-0-486-43229-8
Coxeter, Harold Scott MacDonald; Greitzer, Samuel L. (1967), "3.2 Cyclic Quadrangles; Brahmagupta's formula", Geometry Revisited, Mathematical Association of America, pp. 57, 60, ISBN 978-0-88385-619-2
Alsina, Claudi; Nelsen, Roger (2009), "4.3 Cyclic, tangential, and bicentric quadrilaterals", When Less is More: Visualizing Basic Inequalities, Mathematical Association of America, p. 64, ISBN 978-0-88385-342-9
Honsberger, Ross (1995), "4.2 Cyclic quadrilaterals", Episodes in Nineteenth and Twentieth Century Euclidean Geometry, New Mathematical Library, vol. 37, Cambridge University Press, pp. 35–39, ISBN 978-0-88385-639-0
Posamentier, Alfred S.; Salkind, Charles T. (1970), "Solutions: 4-23 Prove that the sum of the squares of the measures of the segments made by two perpendicular chords is equal to the square of the measure of the diameter of the given circle.", Challenging Problems in Geometry (2nd ed.), Courier Dover, pp. 104–5, ISBN 978-0-486-69154-1

clarku.edu

aleph0.clarku.edu

Joyce, D. E. (June 1997), "Book 3, Proposition 22", Euclid's Elements, Clark University

cut-the-knot.org

A. Bogomolny, An Identity in (Cyclic) Quadrilaterals, Interactive Mathematics Miscellany and Puzzles, [2], Accessed 18 March 2014.

doi.org

Fraivert, David; Sigler, Avi; Stupel, Moshe (2020), "Necessary and sufficient properties for a cyclic quadrilateral", International Journal of Mathematical Education in Science and Technology, 51 (6): 913–938, doi:10.1080/0020739X.2019.1683772, S2CID 209930435
De Villiers, Michael (1993), "A unifying generalization of Turnbull's theorem", International Journal of Mathematical Education in Science and Technology, 24 (2): 191–196, doi:10.1080/0020739930240204.
Fraivert, David (July 2019). "New points that belong to the nine-point circle". The Mathematical Gazette. 103 (557): 222–232. doi:10.1017/mag.2019.53.
Peter, Thomas (September 2003), "Maximizing the area of a quadrilateral", The College Mathematics Journal, 34 (4): 315–6, doi:10.2307/3595770, JSTOR 3595770
Hoehn, Larry (March 2000), "Circumradius of a cyclic quadrilateral", Mathematical Gazette, 84 (499): 69–70, doi:10.2307/3621477, JSTOR 3621477
Buchholz, R. H.; MacDougall, J. A. (1999), "Heron quadrilaterals with sides in arithmetic or geometric progression", Bulletin of the Australian Mathematical Society, 59 (2): 263–9, doi:10.1017/S0004972700032883, hdl:1959.13/803798, MR 1680787
Josefsson, Martin (2016), "Properties of Pythagorean quadrilaterals", The Mathematical Gazette, 100 (July): 213–224, doi:10.1017/mag.2016.57.
Wimmer, Lienhard (2011). "Cyclic polygons in non-Euclidean geometry". Elemente der Mathematik. 66 (2): 74–82. doi:10.4171/EM/173.
Rosenfeld, B. A. (1988). A History of Non-Euclidean Geometry - Springer. Studies in the History of Mathematics and Physical Sciences. Vol. 12. doi:10.1007/978-1-4419-8680-1. ISBN 978-1-4612-6449-1.
Kiper, Gökhan; Söylemez, Eres (May 1, 2012). "Homothetic Jitterbug-like linkages". Mechanism and Machine Theory. 51: 145–158. doi:10.1016/j.mechmachtheory.2011.11.014. hdl:11511/40967.

fau.edu

forumgeom.fau.edu

Hajja, Mowaffaq (2008), "A condition for a circumscriptible quadrilateral to be cyclic" (PDF), Forum Geometricorum, 8: 103–6, archived from the original (PDF) on November 26, 2019, retrieved August 16, 2011
Alsina, Claudi; Nelsen, Roger B. (2007), "On the diagonals of a cyclic quadrilateral" (PDF), Forum Geometricorum, 7: 147–9
Sastry, K.R.S. (2002). "Brahmagupta quadrilaterals" (PDF). Forum Geometricorum. 2: 167–173. Archived from the original (PDF) on April 22, 2018. Retrieved April 25, 2012.

handle.net

hdl.handle.net

Buchholz, R. H.; MacDougall, J. A. (1999), "Heron quadrilaterals with sides in arithmetic or geometric progression", Bulletin of the Australian Mathematical Society, 59 (2): 263–9, doi:10.1017/S0004972700032883, hdl:1959.13/803798, MR 1680787
Kiper, Gökhan; Söylemez, Eres (May 1, 2012). "Homothetic Jitterbug-like linkages". Mechanism and Machine Theory. 51: 145–158. doi:10.1016/j.mechmachtheory.2011.11.014. hdl:11511/40967.

ijgeometry.com

Fraivert, David (2018). "New applications of method of complex numbers in the geometry of cyclic quadrilaterals" (PDF). International Journal of Geometry. 7 (1): 5–16.

imomath.com

Inequalities proposed in "Crux Mathematicorum", 2007, [1].

imsa.edu

students.imsa.edu

Prasolov, Viktor, Problems in plane and solid geometry: v.1 Plane Geometry (PDF), archived from the original (PDF) on September 21, 2018, retrieved November 6, 2011

jstor.org

Peter, Thomas (September 2003), "Maximizing the area of a quadrilateral", The College Mathematics Journal, 34 (4): 315–6, doi:10.2307/3595770, JSTOR 3595770
Hoehn, Larry (March 2000), "Circumradius of a cyclic quadrilateral", Mathematical Gazette, 84 (499): 69–70, doi:10.2307/3621477, JSTOR 3621477

semanticscholar.org

api.semanticscholar.org

Fraivert, David; Sigler, Avi; Stupel, Moshe (2020), "Necessary and sufficient properties for a cyclic quadrilateral", International Journal of Mathematical Education in Science and Technology, 51 (6): 913–938, doi:10.1080/0020739X.2019.1683772, S2CID 209930435

upit.ro

matinf.upit.ro

José García, Emmanuel Antonio (2022), "A generalization of Mollweide's formula (rather Newton's)" (PDF), Matinf, 5 (9–10): 19–22, retrieved December 29, 2023

web.archive.org

Hajja, Mowaffaq (2008), "A condition for a circumscriptible quadrilateral to be cyclic" (PDF), Forum Geometricorum, 8: 103–6, archived from the original (PDF) on November 26, 2019, retrieved August 16, 2011
Prasolov, Viktor, Problems in plane and solid geometry: v.1 Plane Geometry (PDF), archived from the original (PDF) on September 21, 2018, retrieved November 6, 2011
Sastry, K.R.S. (2002). "Brahmagupta quadrilaterals" (PDF). Forum Geometricorum. 2: 167–173. Archived from the original (PDF) on April 22, 2018. Retrieved April 25, 2012.

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Maltitude". MathWorld.

worldcat.org

search.worldcat.org

Bradley, Christopher J. (2007), The Algebra of Geometry: Cartesian, Areal and Projective Co-Ordinates, Highperception, p. 179, ISBN 978-1906338008, OCLC 213434422
Siddons, A. W.; Hughes, R. T. (1929), Trigonometry, Cambridge University Press, p. 202, OCLC 429528983
Altshiller-Court, Nathan (2007) [1952], College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle (2nd ed.), Courier Dover, pp. 131, 137–8, ISBN 978-0-486-45805-2, OCLC 78063045