Table of Contents
Prematter
Introduction
Using the Geometry Applet
About the text
Euclid
A quick trip
through the
Elements
References
to Euclid’s
Elements
on the Web
Subject index
Book I
.
The fundamentals of geometry: theories of triangles, parallels, and area.
Definitions
(23)
Postulates
(5)
Common Notions
(5)
Propositions
(48)
Book II
.
Geometric algebra.
Definitions
(2)
Propositions
(13)
Book III
.
Theory of circles.
Definitions
(11)
Propositions
(37)
Book IV
.
Constructions for inscribed and circumscribed figures.
Definitions
(7)
Propositions
(16)
Book V
.
Theory of abstract proportions.
Definitions
(18)
Propositions
(25)
Book VI
.
Similar figures and proportions in geometry.
Definitions
(11)
Propositions
(37)
Book VII
.
Fundamentals of number theory.
Definitions
(22)
Propositions
(39)
Book VIII
.
Continued proportions in number theory.
Propositions
(27)
Book IX
.
Number theory.
Propositions
(36)
Book X
.
Classification of incommensurables.
Definitions I
(4)
Propositions 1-47
Definitions II
(6)
Propositions 48-84
Definitions III
(6)
Propositions 85-115
Book XI
.
Solid geometry.
Definitions
(28)
Propositions
(39)
Book XII
.
Measurement of figures.
Propositions
(18)
Book XIII
.
Regular solids.
Propositions
(18)