An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1834 - 276 σελίδες |
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Σελίδα 15
... pole ? Let a denote the whole length . Then ++ 5 must be equal to the whole length . Hence , Reducing to a common denominator , ac 2 3 Ꮖ + +5 3 6 x 3x , 2x + 20 + 5 6 6 6 Adding together , 6x = 5x + 5 6 6 II . 15 Equations .
... pole ? Let a denote the whole length . Then ++ 5 must be equal to the whole length . Hence , Reducing to a common denominator , ac 2 3 Ꮖ + +5 3 6 x 3x , 2x + 20 + 5 6 6 6 Adding together , 6x = 5x + 5 6 6 II . 15 Equations .
Σελίδα 16
... hence , Ꮖ 6 5 6 and x = 30 Ans . 30 feet . Proof . One half of 30 is 15 , and one third of thirty is 10 . Now 30 15 + 10 + 5 . There is another mode of reducing the above equation which in most cases is to be preferred . It is the same ...
... hence , Ꮖ 6 5 6 and x = 30 Ans . 30 feet . Proof . One half of 30 is 15 , and one third of thirty is 10 . Now 30 15 + 10 + 5 . There is another mode of reducing the above equation which in most cases is to be preferred . It is the same ...
Σελίδα 26
... Hence it appears that any term may be transposed from one mem- ber to the other , care being taken to change the sign . In the last example , 76 was transposed from the first member to the second , and the sign changed from + to — ; and ...
... Hence it appears that any term may be transposed from one mem- ber to the other , care being taken to change the sign . In the last example , 76 was transposed from the first member to the second , and the sign changed from + to — ; and ...
Σελίδα 40
... Hence 74 18 - X the price of a lemon . = 74- Х 18 & c . 56 Ꮖ --- 12 18. A man bought 5 oranges and 7 lemons for 58 cents ; af- terwards he bought 13 oranges and 6 lemons at the same rate for 102 cents . What was the price of an orange ...
... Hence 74 18 - X the price of a lemon . = 74- Х 18 & c . 56 Ꮖ --- 12 18. A man bought 5 oranges and 7 lemons for 58 cents ; af- terwards he bought 13 oranges and 6 lemons at the same rate for 102 cents . What was the price of an orange ...
Σελίδα 47
... hence it was ne- cessary to add the two equations together in order to make the y disappear , or as it is sometimes called , to eliminate y . 3. A market - woman sells to one person , 3 quinces and 4 melons for 25 cents , and to another ...
... hence it was ne- cessary to add the two equations together in order to make the y disappear , or as it is sometimes called , to eliminate y . 3. A market - woman sells to one person , 3 quinces and 4 melons for 25 cents , and to another ...
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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?