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单词 Pythagorean triple
释义

Pythagorean triple

原声例句
Reel知识卷轴

And it wasn't until 1945 that it was revealed to contain Pythagorean triples.

直到 1945 年，毕达哥拉斯三元组才被发现。

Reel知识卷轴

In particular, the Mesopotamian understood Pythagorean triples at a level of sophistication that we never expected.

特别是美索不达米亚人对毕达哥拉斯三元组理解的复杂程度，是我们从未预料到的。

TED-Ed（视频版）

One of the most famous Pythagorean triples is 3,4,5,and that triangle is hiding all over your chessboard.

最著名的毕达哥拉斯三元组之一是 3、4、5，这个三角形隐藏在您的棋盘上。

中文百科

勾股数

Triángulo rectángulo con sus tres lados y ángulos nombrados. El triángulo rectángulo cuyas longitudes de sus tres lados sean números enteros positivos, éstos forman una terna pitagórica, y evidentemente a² + b² = c².
The Pythagorean theorem: a2 + b2 = c2

勾股数，又名商高数或毕氏三元数（Pythagorean triple），是由三个正整数组成的数组；能符合勾股定理（毕式定理）「a^2+b^2=c^2」之中， (a, b, c) 的正整数解。而且，基于勾股定理的逆定理，任何边长是勾股数组的三角形都是直角三角形。

如果 (a, b, c) 是勾股数，它们的正整数倍数，也是勾股数，即 (na, nb, nc) 也是勾股数。若果 (a, b, c) 三者互质（它们的最大公因数是 1），它们就称为素勾股数。

以下的方法可用来找出勾股数。设 m > n 、 m 和 n 均是正整数，

英语百科

Pythagorean triple 勾股数

The Pythagorean theorem: a2 + b2 = c2
Animation demonstrating the simplest case of the Pythagorean Triple: 32 + 42 = 52.
A scatter plot of the legs (a,b) of the Pythagorean triples with c less than 6000. Negative values are included to illustrate the parabolic patterns in the plot more clearly.
The primitive Pythagorean triples. The odd leg a is plotted on the horizontal axis, the even leg b on the vertical. The curvilinear grid is composed of curves of constant m - n and of constant m + n in Euclid's formula.

A Pythagorean triple consists of three positive integers a, b, and c, such that a + b = c. Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime. A right triangle whose sides form a Pythagorean triple is called a Pythagorean triangle.
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更新时间：2025/6/19 11:18:58