An Introduction to Algebra upon the Inductive Method of Instruction |
Contents
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Common terms and phrases
12 rods 3d power 3d root 5th power a b c A's share a² b² a² b³ ac² added algebra algebraic quantities apples approximate root Arith arithmetic becomes binomial Binomial Theorem bought breadth bushels cents apiece coefficient compound interest compound quantities consisting contain decimal denominator difference divide the number dividend divisor equal equation example exponent expressed factor figure formula found by multiplying fourth fraction gallons gives greater Hence horse length less Let the learner letter logarithm merator miles multiplicand number of dollars number of terms observe pears question quotient remainder required to find rods rule second power second root second term shillings sold subtracted Suppose third power third root twice unknown quantity whole number yards zero
Popular passages
Page 101 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Page 2 - States entitled an act for the encouragement of learning hy securing the copies of maps, charts and books to the author., and proprietors of such copies during the times therein mentioned, and also to an act entitled an act supplementary to an act, entitled an act for the encouragement of learning by securing the copies of maps, charts and books to the authors and proprietors of such copies during the times therein mentioned and extending the benefits thereof to the arts of designing, engraving and...
Page 220 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Page 35 - A's money above B's was equal to | of B's money. How much had each when they commenced? '"V' 5. Divide the number 54 into two such parts that the less subtracted from the greater, shall be equal to the greater subtracted from three times the less. What are the parts? ., / 6. It is required to divide the number 204 into two such parts that | of the less being subtracted from the greater, the remainder will be equal to f of the greater subtracted from four times the less. Let x = greater part.
Page 227 - The points are used to show that some terms are left out of the expression, as it is impossible to express the whole until a particular...
Page 230 - The sum of all the terms. Any three of which being given, the other two may be found.
Page 171 - TV of the whole journey ; and after he had travelled as many days as he went miles in one day, he met A. What is the distance between the places C and D ? In this case both values will answer the conditions of the question.
Page 16 - A man driving his geese to market, was met by another, who said, good morrow, master, with your hundred geese...
Page 39 - And * of the distance from A to B, added to half the distance from C to D, is three times the distance from B to C. What are the respective distances ? , Ans.
Page 274 - A person bought two cubical stacks of hay for 4 1 £ ; each of them cost as many shillings per solid yard as there were yards in a side of the other, and the greater stood on more ground than the less by 9 square yards. What was the price of each ? 69.