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1...7. Object of Algebra. Explanation of the Algebraic

Signs. Resolution of several questions with the

aid of these signs.

Pages

1....8

CHAPTER I.-Of Algebraic Operations.

8..12. Preliminary definitions. Reduction of similar terms.

13..14. Addition and Subtraction.

8...11.

11...14.

16..17. Rule for Multiplication.

14...17.

18..21. Remarks upon Multiplication.

17...20.

22..24. Division of Monomials. Signification of the sym-

bol ao.

20...23.

25..32. Division of Polynomials. When m is an entire

number, m-am is divisible by x-a.

23...35.

33. Of Algebraic Fractions. Reduction of Fractions.

34..41. Elementary Theory of the GREATEST COMMON DI-

35...36.

VISOR.

36...44.

CHAPTER II-Of Problems and Equations of the First Degree.

42..45. Equations of the First Degree involving but one

unknown quantity.

45...50.

46..49. Problems of the First Degree involving one un-

known quantity.

50...60.

50..55. Equations of the First Degree involving two or

more unknown quantities. Of the different me-

thods of Elimination.

60...66.

56..57. Resolutions of Problems of the First Degree in-

volving two or more unknown quantities.

66...70.

58.63. Theory of negative quantities.

70...78.

64..65. Discussion of Problems of the First Degree.

78...84.

66..80. General discussion of Equations of the First Degree. 84..102.

81. Problems.

102..103.

CHAPTER III.-Resolution of Problems and Equations of the Second