An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1830 - 276 σελίδες |
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Σελίδα 4
... Proportions have been discarded in algebra as well as in arithmetic . The author intended to give , in an appendix , some directions for using proportions , to assist those who might have occasion to read other treatises on mathematics ...
... Proportions have been discarded in algebra as well as in arithmetic . The author intended to give , in an appendix , some directions for using proportions , to assist those who might have occasion to read other treatises on mathematics ...
Σελίδα 18
... proportion of 3 to 2 . The proportion 3 to 2 signifies that the second will have as many as the first . 22. A gentleman gave to 3 persons £ 98 . The second re- ceived five - eighths of the sum given to the first , and the third one ...
... proportion of 3 to 2 . The proportion 3 to 2 signifies that the second will have as many as the first . 22. A gentleman gave to 3 persons £ 98 . The second re- ceived five - eighths of the sum given to the first , and the third one ...
Σελίδα 40
... proportion of 5 to 2.- 16. It is required to divide the number 67 into two such parts that the difference between the greater and 75 may be to the excess of the less over 12 in the proportion of 8 to 3 . 17. A man bought 12 lemons and a ...
... proportion of 5 to 2.- 16. It is required to divide the number 67 into two such parts that the difference between the greater and 75 may be to the excess of the less over 12 in the proportion of 8 to 3 . 17. A man bought 12 lemons and a ...
Σελίδα 48
... proportion of 7 to 3. Re- quired the number of each at first . Let and 1 . 2 . x = the number of turkeys , y = the number of geese . y + 10 = 3x = 2y + 15 7x · 105 - 3 3. Freeing the 2d from fractions , 3y + 30 = 7x - 105 Instead of the ...
... proportion of 7 to 3. Re- quired the number of each at first . Let and 1 . 2 . x = the number of turkeys , y = the number of geese . y + 10 = 3x = 2y + 15 7x · 105 - 3 3. Freeing the 2d from fractions , 3y + 30 = 7x - 105 Instead of the ...
Σελίδα 50
... proportion of 4 to 3. After three years he found that he had 57 more sheep , and 10 more cows than he had at first ; and that the proportions were then as 3 to 1. What number of each had he at first ? 24. When wheat was 8 shillings a ...
... proportion of 4 to 3. After three years he found that he had 57 more sheep , and 10 more cows than he had at first ; and that the proportions were then as 3 to 1. What number of each had he at first ? 24. When wheat was 8 shillings a ...
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Άλλες εκδόσεις - Προβολή όλων
An Introduction to Algebra: Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1837 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1826 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1831 |
Συχνά εμφανιζόμενοι όροι και φράσεις
12 rods 3d power 3d root a b c A's share a+b+c a² b² a² b³ a³ b² ac² added algebra algebraic quantities apples approximate root Arith arithmetic becomes binomial Binomial Theorem bought breadth bushels coefficient compound interest compound quantities contained decimal denominator difference divide the number dividend division divisor equal equation example exponent expression factor figure formula fourth fraction gallons gives greater Hence length less Let the learner letter logarithm lowest terms merator miles multiplicand negative quantity number of dollars number of terms observe pears quan question quotient remainder required to find rule second power second root second term sheep shillings sold square rods subtracted Suppose third power third root tities twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 2 - Clerk's Office. BE IT REMEMBERED, that on the ninth day of September, AD 1818, and in the forty-third year of the Independence of the United States of America, Samuel Swett of the said district has deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : Historical and topographical Sketch of Bunker Hill Battle, with a Plan.
Σελίδα 236 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα 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.
Σελίδα 2 - 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 etching historical and other prints.
Σελίδα 156 - Take three times the square of the root just found for a trial divisor, and see how often it is contained in the dividend, and place the quotient for a second figure of the root. Then cube the figures of the root thus found, and if...
Σελίδα 33 - B gained a sum less by £40 than twice the sum A had lost ; when it appeared that B had twice as much money as A. What money did each begin with ? Let x be the number of pounds each had at first.
Σελίδα 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...
Σελίδα 229 - Hence, any term may be found by adding the product of the common difference by the number of terms less one, to the first term. Example.
Σελίδα 35 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Σελίδα 271 - Divide the number 14 into two such parts, that the quotient of the greater divided by the less, shall be to the quotient of the less divided by the greater as 16 to 9.