An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1829 - 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 . at 17. A man bought 12 lemons ...
... 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 . at 17. A man bought 12 lemons ...
Σελίδα 48
... proportion of 7 to 3. Re quired the number of each at first . Let and 1 . 2 . x = the number of turkeys , the number of geese . y = 7 x y + 10 = 3x = 2y + 15 - 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 , the number of geese . y = 7 x y + 10 = 3x = 2y + 15 - 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 ? he 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 ? he 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 5th power A's share a² b² a² b³ added algebra algebraic quantities apples approximate root arithmetic becomes binomial Binomial Theorem bought breadth bushels cents apiece coefficient compound interest compound quantities 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 quan question quotient remainder required to find rods rule second power second root second term shillings sold subtracted Suppose third power third root tities Transposing twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 2 - District Clerk's Office. BE IT REMEMBERED, That on the twenty-fourth day of June, AD 1825, in the forty-ninth year of the Independence of the United States o"f America, WARREN COLBDRS, 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 : — " An Introduction to Algebra, upon the Inductive Method of Instruction.
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 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 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...
Σελίδα 44 - A and B have the same income; A saves £ of his ; but B, by spending $ 30...
Σελίδα 271 - The same sum put out at the same rate for 15 months amounts to 792.1875. Required the sum and the rate per cent. 25. From two casks of equal size are drawn quantities which are in the proportion of 5 to 8 ; and it appears that if 20...
Σελίδα 96 - To divide a whole number by a fraction, — Multiply the dividend by the denominator of the fraction, and divide the product by the numerator.
Σελίδα 174 - 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.
Σελίδα 274 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel, in going 120 yards ; but if the circumference of each wheel be increased...
Σελίδα 35 - ... dollars. How many days did he work, and how many days was he idle ? Ans.