Contents

of the entire work.

First Part.

First Section.

On the various methods of calculation with simple quantities.

Chap. 1. On the mathematical sciences in general. p. 3
Chap. 2. Explanation of the signs + plus and - minus. p. 6
Chap. 3. On multiplication with simple quantities. p. 11
Chap. 4. On the nature of whole numbers regarding their factors. p. 16
Chap. 5. On division with simple quantities. p. 19
Chap. 6. On the properties of whole numbers with regard to their divisors. p. 24
Chap. 7. On fractions in general. p. 28
Chap. 8. On the properties of fractions. p. 35
Chap. 9. On the addition and subtraction of fractions. p. 39
Chap. 10. On the multiplication and division of fractions. p. 42
Chap. 11. On square numbers. p. 48
Chap. 12. On square roots and the irrational numbers arising therefrom. p. 52