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| Chap. 1. | On the resolution of problems in general. | p. 3 |
| Chap. 2. | On equations of the first degree and their resolution. | p. 8 |
| Chap. 3. | Resolution of some questions belonging to this. | p. 13 |
| Chap. 4. | On the resolution of two or more equations of the first degree. | p. 26 |
| Chap. 5. | On the resolution of pure quadratic equations. | p. 40 |
| Chap. 6. | On the resolution of mixed quadratic equations. | p. 48 |
| Chap. 7. | On the extraction of roots from polygonal numbers. | p. 60 |
| Chap. 8. | On the extraction of square roots from binomials. | p. 67 |
| Chap. 9. | On the nature of quadratic equations. | p. 79 |
| Chap. 10. | On the resolution of pure cubic equations. | p. 87 |
| Chap. 11. | On the resolution of complete cubic equations. | p. 93 |
| Chap. 12. | On the rule of Cardani Cardano or Scipionis Ferrei Scipione del Ferro. | p. 106 |
| Chap. 13. | On the resolution of equations of the fourth degree, which are also called biquadratic equations. | p. 115 |
| Chap. 14. | On the rule of Bombelli for reducing the resolution of biquadratic equations to cubic equations. | p. 124 |
| Chap. 15. | On a new resolution of biquadratic equations. | p. 130 |
| Chap. 16. | On the resolution of equations through approximation. | p. 138 |