ピタゴラスの定理 (Japanese Wikipedia)

Analysis of information sources in references of the Wikipedia article "ピタゴラスの定理" in Japanese language version.

refsWebsite
Global rank Japanese rank
low place
low place
742nd place
1,117th place
3rd place
61st place
low place
low place
low place
low place
120th place
616th place
2nd place
6th place
low place
low place
low place
low place
154th place
11th place
102nd place
78th place
304th place
20th place
5th place
19th place
3,850th place
267th place
low place
low place
6,163rd place
803rd place
5,551st place
375th place
934th place
57th place
1st place
1st place
low place
low place
low place
low place
low place
low place
7,594th place
low place
low place
low place
5,559th place
low place

books.google.com

  • Kim Plofker (2009). Mathematics in India. Princeton University Press. pp. 17–18. ISBN 978-0-691-12067-6 
  • Carl Benjamin Boyer; Uta C. Merzbach (2011). “China and India”. A history of mathematics (3rd ed.). Wiley. p. 229. ISBN 978-0470525487. https://books.google.com/books?id=bR9HAAAAQBAJ. "Quote: [In Sulba-sutras,] we find rules for the construction of right angles by means of triples of cords the lengths of which form Pythagorean triages, such as 3, 4, and 5, or 5, 12, and 13, or 8, 15, and 17, or 12, 35, and 37. Although Mesopotamian influence in the Sulvasũtras is not unlikely, we know of no conclusive evidence for or against this. Aspastamba knew that the square on the diagonal of a rectangle is equal to the sum of the squares on the two adjacent sides. Less easily explained is another rule given by Apastamba – one that strongly resembles some of the geometric algebra in Book II of Euclid's Elements. (...)" 

ctk.ne.jp

doi.org

geisya.or.jp

google.co.jp

books.google.co.jp

handle.net

hdl.handle.net

hokudai.ac.jp

sci.hokudai.ac.jp

keio.ac.jp

manabitimes.jp

math-uni-paderborn.de

nagoya-u.ac.jp

phys.cs.is.nagoya-u.ac.jp

  • 新関章三(元高知大学)、矢野忠(元愛媛大学). “数学・物理通信”. 2014年10月4日閲覧。

ndl.go.jp

nii.ac.jp

cir.nii.ac.jp

niit.ac.jp

takeno.iee.niit.ac.jp

oeis.org

oninet.ne.jp

www2.oninet.ne.jp

proofcafe.org

researchgate.net

ruc.dk

akira.ruc.dk

sc.edu

people.math.sc.edu

tokai.ac.jp

press.tokai.ac.jp

  • 大矢真一『ピタゴラスの定理』東海大学出版会〈Tokai library〉、2001年8月。ISBN 4-486-01558-4http://www.press.tokai.ac.jp/bookdetail.jsp?isbn_code=ISBN978-4-486-01558-1 

ucf.edu

cs.ucf.edu

web.archive.org

wikipedia.org

en.wikipedia.org

  • Høyrup, Jens [in 英語]. "Pythagorean 'Rule' and 'Theorem' – Mirror of the Relation Between Babylonian and Greek Mathematics". In Renger, Johannes (ed.). Babylon: Focus mesopotamischer Geschichte, Wiege früher Gelehrsamkeit, Mythos in der Moderne. 2. Internationales Colloquium der Deutschen Orient-Gesellschaft 24.–26. März 1998 in Berlin (PDF). Berlin: Deutsche Orient-Gesellschaft / Saarbrücken: SDV Saarbrücker Druckerei und Verlag. pp. 393–407., p.406, "To judge from this evidence alone it is therefore likely that the Pythagorean rule was discovered within the lay surveyors’ environment, possibly as a spin-off from the problem treated in Db2-146, somewhere between 2300 and 1825 BC." (IM 67118英語版(Db2-146) is an Old Babylonian clay tablet from Eshnunna concerning the computation of the sides of a rectangle given its area and diagonal.)
  • Robson, E. (2008). Mathematics in Ancient Iraq: A Social History. Princeton University Press : p.109 "Many Old Babylonian mathematical practitioners … knew that the square on the diagonal of a right triangle had the same area as the sum of the squares on the length and width: that relationship is used in the worked solutions to word problems on cut-and-paste ‘algebra’ on seven different tablets, from Ešnuna, Sippar, Susa, and an unknown location in southern Babylonia."
  • Carl Benjamin Boyer; Uta C. Merzbach (2011). “China and India”. A history of mathematics (3rd ed.). Wiley. p. 229. ISBN 978-0470525487. https://books.google.com/books?id=bR9HAAAAQBAJ. "Quote: [In Sulba-sutras,] we find rules for the construction of right angles by means of triples of cords the lengths of which form Pythagorean triages, such as 3, 4, and 5, or 5, 12, and 13, or 8, 15, and 17, or 12, 35, and 37. Although Mesopotamian influence in the Sulvasũtras is not unlikely, we know of no conclusive evidence for or against this. Aspastamba knew that the square on the diagonal of a rectangle is equal to the sum of the squares on the two adjacent sides. Less easily explained is another rule given by Apastamba – one that strongly resembles some of the geometric algebra in Book II of Euclid's Elements. (...)" 

worldcat.org

search.worldcat.org