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词汇 Dulcarnon
分类 英语词汇 英语翻译词典
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Dulcarnon

英语百科

Pons asinorum

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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