## An Introduction to Algebra Upon the Inductive Method of Instruction |

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### Contents

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### Common terms and phrases

1)th term 12 rods 3d power 3d root 5th power 5th root A's share added algebra algebraic quantities answer the conditions apples approximate root Arith arithmetic becomes binomial Binomial Theorem bought breadth bushels cents apiece coefficient compound interest compound quantities cond contain decimal denominator divide the number dividend divisor equal equation example exponent expressed factor figure find the root formula found by multiplying fourth fraction gallons geometrical progression gives greater Hence horse length less Let the learner Let x denote letter logarithm merator miles multiplicand number of dollars number of sheep number of terms observe pears quan question quotient remainder required to find rods rule second power second root second term shillings sold solve subtracted Suppose third power third root third term tion tities Transposing twice unknown quantity whole number yards zero

### Popular passages

Page 234 - The sum of all the terms. Any three of which being given, the other two may be found.

Page 95 - Hence, to divide a fraction by a fraction, multiply the numerator of the dividend by the denominator of the divisor, and the denominator of the dividend by the numerator of the divisor.

Page 92 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...

Page 170 - ... so that each rank may exceed each file by 59 men. What numbers must he place in rank and file ? 9. A grazier bought as many sheep as cost him £60 ; out of which he reserved 15, and sold the remainder for £54, gaining 2 shillings a head by them. How many sheep did he buy, and what was the price of each ? 10. A person bought two pieces of cloth of different sorts ; of which the finer cost 4s. a yard more than the other. For the finer he paid £18 ; but for the coarser, which exceeded the finer...

Page 35 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.

Page 229 - RULE. Multiply the sum of the two extremes by half the number of terms, or multiply...

Page 172 - From two places at a distance of 320 miles, two persons, A and B, set out at the same time to meet each other. A travelled 8 miles a day more than B, and the number of days in which they met was equal to half the number of miles B went in a day. How many miles did each travel, and how far per day ? 20.

Page 171 - C, and went every day r\ of the whole journey ; and after he had travelled as many days as he went miles in one day, he met A.

Page 267 - A farmer has a stack of hay, from which he sells a quantity, which is to the quantity remaining in the proportion of 4 to 5. He then uses 15 loads, and finds that he has a quantity left, which is to the quantity sold as 1 to 2. How many loads did the stack at first contain ? 10.

Page 17 - 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?