### Contents

 ALGEBRAIC NOTATION 7 MODES OF REPRESENTING THE OPERATIONS 30 Subtraction 32 Multiplication 36 Division 38 ALGEBRAIC EXPRESSIONS 39 OPERATIONS 43 SUBTRACTION 46
 Involution 58 DIVISION 62 Evolution 69 FACTORS AND MULTIPLES 76 GREATEST COMMON FACTOR 88 LEAST COMMON MULTIPLE 90 FRACTIONS 94 EQUATIONS 119

### Popular passages

Page 76 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 68 - Multiply the complete divisor by the second term of the root, and subtract the product from the remainder.
Page 145 - The head of a fish is 12 inches long, the tail is as long as the head + � of the body, and the body is as long as the head and tail ; what is the length of the fish ? 4.
Page 61 - Divide the first term of the dividend by the first term of the divisor, for the first term of the quotient. Multiply the divisor by this term of the quotient, and subtract the product from the dividend.
Page 58 - To divide a polynomial by a monomial, divide each term of the dividend by the divisor and add the partial quotients.
Page 64 - Arts. 200 and 201 we derive the following rule : Extract the required root of the numerical coefficient, and divide the exponent of each letter by the index of the root.
Page 67 - At the left of the dividend write three times the square of the root already found, for a trial divisor ; divide the first term of the dividend by this divisor, and write the quotient for the next term of the root.
Page 49 - To multiply a polynomial by a monomial, multiply each term of the polynomial by the monomial and add the partial products: (6a — 3ft) x 3c = 18uc -96c.
Page 66 - Extract the square root of the first term, write the result as the first term of the root, and subtract its square from the polynomial.
Page 114 - Any term may be transposed from one member of an equation to the other, provided its sign be changed.