[Source](https://mathcs.clarku.edu/~djoyce/elements/toc.html "Permalink to Euclid's Elements, Table of Contents")

# Euclid's Elements, Table of Contents

# Table of Contents

**Prematter** : [Introduction][1] : [Using the Geometry Applet][2] : [About the text][3] : [Euclid][4] : [A quick trip][5] through the _Elements_ : [References][6] to Euclid’s _Elements_ on the Web : [Subject index][7]

[**Book I][8].** The fundamentals of geometry: theories of triangles, parallels, and area. : [Definitions][9] (23)   
[Postulates][10] (5)   
[Common Notions][11] (5)   
[Propositions][12] (48) 

[**Book II][13].** Geometric algebra. : [Definitions][14] (2)   
[Propositions][15] (13) 

[**Book III][16].** Theory of circles. : [Definitions][17] (11)   
[Propositions][18] (37) 

[**Book IV][19].** Constructions for inscribed and circumscribed figures. : [Definitions][20] (7)   
[Propositions][21] (16) 

[**Book V][22].** Theory of abstract proportions. : [Definitions][23] (18)   
[Propositions][24] (25) 

[**Book VI][25].** Similar figures and proportions in geometry. : [Definitions][26] (11)   
[Propositions][27] (37)   | 

[**Book VII][28].** Fundamentals of number theory. : [Definitions][29] (22)   
[Propositions][30] (39) 

[**Book VIII][31].** Continued proportions in number theory. : [Propositions][32] (27) 

[**Book IX][33].** Number theory. : [Propositions][34] (36) 

[**Book X][35].** Classification of incommensurables. : [Definitions I][36] (4)   
[Propositions 1-47][37]   
[Definitions II][38] (6)   
[Propositions 48-84][39]   
[Definitions III][40] (6)   
[Propositions 85-115][41]

[**Book XI][42].** Solid geometry. : [Definitions][43] (28)   
[Propositions][44] (39) 

[**Book XII][45].** Measurement of figures. : [Propositions][46] (18) 

[**Book XIII][47].** Regular solids. : [Propositions][48] (18) 

[1]: elements.html
[2]: usingApplet.html
[3]: aboutText.html
[4]: Euclid.html
[5]: trip.html
[6]: web.html
[7]: subjindex.html
[8]: https://mathcs.clarku.edu/bookI/bookI.html
[9]: https://mathcs.clarku.edu/bookI/bookI.html#defs
[10]: https://mathcs.clarku.edu/bookI/bookI.html#posts
[11]: https://mathcs.clarku.edu/bookI/bookI.html#cns
[12]: https://mathcs.clarku.edu/bookI/bookI.html#props
[13]: https://mathcs.clarku.edu/bookII/bookII.html
[14]: https://mathcs.clarku.edu/bookII/bookII.html#defs
[15]: https://mathcs.clarku.edu/bookII/bookII.html#props
[16]: https://mathcs.clarku.edu/bookIII/bookIII.html
[17]: https://mathcs.clarku.edu/bookIII/bookIII.html#defs
[18]: https://mathcs.clarku.edu/bookIII/bookIII.html#props
[19]: https://mathcs.clarku.edu/bookIV/bookIV.html
[20]: https://mathcs.clarku.edu/bookIV/bookIV.html#defs
[21]: https://mathcs.clarku.edu/bookIV/bookIV.html#props
[22]: https://mathcs.clarku.edu/bookV/bookV.html
[23]: https://mathcs.clarku.edu/bookV/bookV.html#defs
[24]: https://mathcs.clarku.edu/bookV/bookV.html#props
[25]: https://mathcs.clarku.edu/bookVI/bookVI.html
[26]: https://mathcs.clarku.edu/bookVI/bookVI.html#defs
[27]: https://mathcs.clarku.edu/bookVI/bookVI.html#props
[28]: https://mathcs.clarku.edu/bookVII/bookVII.html
[29]: https://mathcs.clarku.edu/bookVII/bookVII.html#defs
[30]: https://mathcs.clarku.edu/bookVII/bookVII.html#props
[31]: https://mathcs.clarku.edu/bookVIII/bookVIII.html
[32]: https://mathcs.clarku.edu/bookVIII/bookVIII.html#props
[33]: https://mathcs.clarku.edu/bookIX/bookIX.html
[34]: https://mathcs.clarku.edu/bookIX/bookIX.html#props
[35]: https://mathcs.clarku.edu/bookX/bookX.html
[36]: https://mathcs.clarku.edu/bookX/bookX.html#defsI
[37]: https://mathcs.clarku.edu/bookX/bookX.html#propsI
[38]: https://mathcs.clarku.edu/bookX/bookX.html#defsII
[39]: https://mathcs.clarku.edu/bookX/bookX.html#propsII
[40]: https://mathcs.clarku.edu/bookX/bookX.html#defsIII
[41]: https://mathcs.clarku.edu/bookX/bookX.html#propsIII
[42]: https://mathcs.clarku.edu/bookXI/bookXI.html
[43]: https://mathcs.clarku.edu/bookXI/bookXI.html#defs
[44]: https://mathcs.clarku.edu/bookXI/bookXI.html#props
[45]: https://mathcs.clarku.edu/bookXII/bookXII.html
[46]: https://mathcs.clarku.edu/bookXII/bookXII.html#props
[47]: https://mathcs.clarku.edu/bookXIII/bookXIII.html
[48]: https://mathcs.clarku.edu/bookXIII/bookXIII.html#props