2024-03-28T09:01:09Z
https://teapot.lib.ocha.ac.jp/oai
oai:teapot.lib.ocha.ac.jp:00034597
2022-12-12T05:38:53Z
347:359:690
Heronian Triangles. I. Systematic relation among the isosceles Heronian triangles.
Hosoya, Haruo
400
application/pdf
紀要論文
A Heronian triangle (HeT) is defined here to be a triangle whose edges and area Δ are integers. A HeT (a, a, b) with coprime a and b is called a primitive isosceles Heronian triangle (piHeT). All the piHeT's are shown to be classified into two groups, I and II, depending on the value of 2a-b, and a pair of natural numbers, (n, k), called "family register codes", are shown to generate a pair of piHeT each belonging to I and II, together with a limited number of non-primitive triangles. However, by including those non-primitive members the a, b, and Δ values of all the family members of piHeT are uniquely generated and related with each other through simple recursion formulas.
お茶の水女子大学
2010-03-25
eng
departmental bulletin paper
http://hdl.handle.net/10083/49183
https://teapot.lib.ocha.ac.jp/records/34597
AN00033958
00298190
お茶の水女子大學自然科學報告
60
2
7
16
https://teapot.lib.ocha.ac.jp/record/34597/files/02_7-16.pdf
application/pdf
1.6 MB
2018-04-19