From the Book - New Princeton Science Library paperback edition.
1. The Sequence of Prime Numbers --
2. Traversing Nets of Curves --
3. Some Maximum Problems --
4. Incommensurable Segments and Irrational Numbers --
5. A Minimum Property of the Pedal Triangle --
6. A Second Proof of the Same Minimum Property --
8. Some Combinatorial Problems --
9. On Waring's Problem --
10. On Closed Self-Intersecting Curves --
11. Is the Factorization of a Number into Prime Factors Unique? --
12. The Four-Color Problem --
13. The Regular Polyhedrons --
14. Pythagorean Numbers and Fermat's Theorem --
15. The Theorem of the Arithmetic and Geometric Means --
16. The Spanning Circle of a Finite Set of Points --
17. Approximating Irrational Numbers by Means of Rational Numbers --
18. Producing Rectilinear Motion by Means of Linkages --
20. Euler's Proof of the Infinitude of the Prime Numbers --
21. Fundamental Principles of Maximum Problems --
22. The Figure of Greatest Area with a Given Perimeter --
23. Periodic Decimal Fractions --
24. A Characteristic Property of the Circle --
25. Curves of Constant Breadth --
26. The Indispensability of the Compass for the Constructions of Elementary Geometry --
27. A Property of the Number 30 --
28. An Improved Inequality --