An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1834 - 276 σελίδες |
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Σελίδα 10
... answer to the questior . It will be found ex- tremely useful to have signs to express these unknown quanti- ties , because it will enable us to keep the object more steadily and distinctly in view . We shall also be able to represent ...
... answer to the questior . It will be found ex- tremely useful to have signs to express these unknown quanti- ties , because it will enable us to keep the object more steadily and distinctly in view . We shall also be able to represent ...
Σελίδα 11
... answers are hot given in this work , it will be well for the learner always to prove his results . In the same manner perform the following examples . 3. Said A to B , my horse and saddle together are worth $ 130 , but the horse is ...
... answers are hot given in this work , it will be well for the learner always to prove his results . In the same manner perform the following examples . 3. Said A to B , my horse and saddle together are worth $ 130 , but the horse is ...
Σελίδα 15
... answered , that if its half and its third were added to it the sum would be 88. What was his age ? Let x denote his age , then , Reducing the terms to a com- ≥ 6 x mon denominator , Adding them together , x x + 2 + 3 OC 8 } 3 x 2 x + ...
... answered , that if its half and its third were added to it the sum would be 88. What was his age ? Let x denote his age , then , Reducing the terms to a com- ≥ 6 x mon denominator , Adding them together , x x + 2 + 3 OC 8 } 3 x 2 x + ...
Σελίδα 16
... answer- ed , he had them in four pastures ; in the first he had of them , 198 in the second , in the third , and in the fourth he had 24 sheep . How many had he in the whole ? 7. A person having spent and of his money , had $ 263 left ...
... answer- ed , he had them in four pastures ; in the first he had of them , 198 in the second , in the third , and in the fourth he had 24 sheep . How many had he in the whole ? 7. A person having spent and of his money , had $ 263 left ...
Σελίδα 21
... of x , and the answer was ob- tained . 10. A and B began to trade with equal stocks . In the first year A gained a sum equal to twice his stock and £ 27 over ; Now the B gained a sum equal to his stock III . 21 Equations .
... of x , and the answer was ob- tained . 10. A and B began to trade with equal stocks . In the first year A gained a sum equal to twice his stock and £ 27 over ; Now the B gained a sum equal to his stock III . 21 Equations .
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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 b c A's share a³ x² 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 expression 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 sheep 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 Transposing twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 82 - ... way. It can then only be expressed. The usual way of expressing division, as has already been explained, is by writing the divisor under the dividend in the form of a fraction. Thus a divided by b is expressed T.
Σελίδα 2 - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...
Σελίδα 103 - 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 174 - ... 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 in length by 2 yards, he paid only £16. How many yards were there in each piece, and what was the price of each .? 11.
Σελίδα 238 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα 234 - London to go round the world, (24590 miles,) one going East and the other West. A goes one mile the first day, two the second, three the third, and so on, increasing his rate one mile per day.
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?
Σελίδα 233 - Hence, the sum of a series of numbers in progression by difference is one half of the product of the number of terms by the sum of the first and last terms. Example. How many strokes does the hammer of a clock strike in 12 hours ? a — 1, I= 12, and n = 12.
Σελίδα 14 - Let x denote one half the number of barrels. 15. From two towns, which are 187 miles apart, two travellers set out at the same time with an intention of meeting ; one of them travels at the rate of 8, the other of 9 miles each day. In how many days will they meet?