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(一)从“勾三股四弦五”谈起在我国最古老的一本周髀算经中有“商高曰:……折矩以为勾广三、股修田,径隅五…”是指一个特殊的直角三角形,它的三条边是三、四、五如图。“勾三股四弦五”就是这个特殊的直角三角形。在三、四、五三个连续数中,存在着一个有趣的关系,3~2+4~2=25=5~2.。日本川边信一註解周髀算经时,用下面的图形说明这个关系。因此,这个特殊的直角三角形的性质可叙述如下:
(a) From “Hooking Three-Shares, Four-String Fives”, it is said that in the oldest book of the Zhou Dynasty in China, “Shang Gaoyi:... Fantastically thinks that Que Guangsan, Unit Xiu Tian, and Path Five” are Refers to a special right-angled triangle. Its three sides are three, four, and five. “Hook three shares of four-string five” is this special right-angled triangle. In three, four, and five consecutive numbers, there is an interesting relationship, 3~2+4~2=25=5~2. When Kawabata Kawabata commented on Zhou Yi’s Bible study, the following diagram illustrates the relationship. Therefore, the nature of this particular right triangle can be described as follows: