theorems of Euclid
This is a list of theorems contained in Euclid’s The Elements. At present, the list is incomplete, but as time goes on, more theorems will systematically be added until it is complete^{}. Note that both theorems and constructions are combined together in the elements; for a listing of the constructions, please see http://planetmath.org/node/9531their entry.

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I 4 SAS theorem

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I 5 (the pons asinorum^{}) The base angles of an isosceles triangle are equal to each other. Moreover, the angles under the bases are also equal.

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I 6 If two angles of a triangle^{} are equal, then that triangle is isosceles. (converse^{} of the preceding proposition^{})

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I 7 Given a line segment^{}, it is not possible to construct upon it two distinct triangles which lie upon the same side of the segment whose remaining sides are equal to each other pairwise.

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I 8 SSS theorem
Title  theorems of Euclid 

Canonical name  TheoremsOfEuclid 
Date of creation  20130322 17:13:23 
Last modified on  20130322 17:13:23 
Owner  rspuzio (6075) 
Last modified by  rspuzio (6075) 
Numerical id  9 
Author  rspuzio (6075) 
Entry type  Topic 
Classification  msc 51M04 