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| Chap. 13. On impossible or imaginary numbers springing from this same source. | p. 59 |
| Chap. 14. On cubic numbers. | p. 63 |
| Chap. 15. On cube roots, and the irrational numbers arising therefrom. | p. 66 |
| Chap. 16. On powers in general. | p. 69 |
| Chap. 17. On arithmetic operations with powers. | p. 75 |
| Chap. 18. On roots with regard to all powers. | p. 78 |
| Chap. 19. On the expression of irrational numbers through fractional exponents. | p. 81 |
| Chap. 20. On the various arithmetic operations and their connection in general. | p. 86 |
| Chap. 21. On logarithms in general. | p. 91 |
| Chap. 22. On the usual logarithmic tables. | p. 96 |
| Chap. 23. On the manner of representing logarithms. | p. 100 |
| Chap. 1. On addition with compound quantities. | p. 109 |
| Chap. 2. On subtraction with compound quantities. | p. 112 |
| Chap. 3. On multiplication with compound quantities. | p. 115 |
| Chap. 4. On division with compound quantities. | p. 121 |
| Chap. 5. On the resolution of fractions into infinite series. | p. 126 |