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单词 Pons asinorum
释义

Pons asinorum

原声例句
亨利·亚当斯的教育(上)

One began at last to see that a great many impressions were needed to make very little education, but how many could be crowded into one day without making any education at all, became the pons asinorum of tourist mathematics.

一个人终于开始明白, 需要大量的印象来进行很少的教育, 但是一天可以挤进多少人而不进行任何教育, 成为旅游数学的脑瘤。

中文百科

驴桥定理

Byrne版几何原本中,驴桥定理的内容,有列出部份欧几里得的证明
欧几里得几何原本第一卷的命题五
另一个证明

驴桥定理拉丁语:Pons asinorum),也称为等腰三角形定理,是在欧几里得几何中的一个数学定理,是指等腰三角形二腰对应的二底角相等。等腰三角形定理也是欧几里得的几何原本第一卷命题五的内容。

有关其名称驴桥定理的由来有二种:一种是几何原本中的示意图即为一座桥,另外一种比较广为大家接受,是指这是几何原本中第一个对于读者智力的测试,并且做为往后续更困难命题的桥梁。几何学是列在中世纪的四术之中,驴桥定理是在几何原本的前面出现的较困难命题,是数学能力的一个门槛,也称之为「笨蛋的难关」,无法理解此一命题的人可能也无法处理后面更难的命题。

英语百科

Pons asinorum 驴桥定理

The pons asinorum in Byrne's edition of the Elements showing part of Euclid's proof.
Proclus' proof
Euclid's Elements Book 1 proposition 5; the pons asinorum
A textbook proof

In geometry, the statement that the angles opposite the equal sides of an isosceles triangle are themselves equal is known as the pons asinorum (Latin pronunciation: [ˈpons asiˈnoːrʊm]; English /ˈpɒnz ˌæsˈnɔərəm/ PONZ-ass-i-NOR-(r)əm), Latin for "bridge of donkeys". This statement is Proposition 5 of Book 1 in Euclid's Elements, and is also known as the isosceles triangle theorem. Its converse is also true: if two angles of a triangle are equal, then the sides opposite them are also equal.

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更新时间:2025/6/19 8:54:03