@article{oai:teapot.lib.ocha.ac.jp:00034597, author = {Hosoya, Haruo}, issue = {2}, journal = {お茶の水女子大學自然科學報告}, month = {Mar}, note = {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.}, pages = {7--16}, title = {Heronian Triangles. I. Systematic relation among the isosceles Heronian triangles.}, volume = {60}, year = {2010} }