An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gray, Little, and Wilkins, 1828 - 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 , = the number of geese . y = .y + 10 = 3x = 2y + 15 7x 105 - 3 -- 3. Freeing the 2d from fractions , 3y + 30 = 7x . - 105 Instead of ...
... 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 = .y + 10 = 3x = 2y + 15 7x 105 - 3 -- 3. Freeing the 2d from fractions , 3y + 30 = 7x . - 105 Instead of ...
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 ? 33.20 . ; 24. When wheat was 8 ...
... 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 ? 33.20 . ; 24. When wheat was 8 ...
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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 a² b² a² b³ 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 terms observe pears quan question quotient remainder required to find rule second power second root second term shillings sold subtracted Suppose third power third root tities twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 234 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα 97 - 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.
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 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...
Σελίδα 35 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Σελίδα 229 - RULE. Multiply the sum of the two extremes by half the number of terms, or multiply...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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?