# 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, quindecagonBook V

ProportionBook 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

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