Euclid's Elements Reference Page
Book I
Basic geometric notions and constructions. The first treatment of the Pythagorean theorem.
Book II
Geometric algebra.
Book III
Circles, inscribed angles, tangents, power of a point.
Book IV
Inscribed and circumscribed triangles and regular pentagon, hexagon, quindecagon
Book V
Proportion
Book VI
Similar figures. The second treatment of the Pythagorean theorem.
Book VII
Basics of Number Theory: primes, divisibility, GCD, LCM.
Book VIII
Geometric sequence, proportions.
Book IX
More of Number Theory: perfect numbers, sum of geometric series.
Book X
Method of exhaustion.
Book XI
Basics of the 3D geometry.
Book XII
Volumes by the method of exhaustion.
Book XIII
Golden section and Platonic solids.
References
- T. L. Heath, Euclid: The Thirteen Books of The Elements, Dover, 1956
- R. Simson, The Elements of Euclid, Books I-VI, XI, XII + Euclid's Data, Elibron Classics, 2005
Copyright © 1996-2009 Alexander Bogomolny
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