An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1834 - 276 σελίδες |
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Αποτελέσματα 6 - 10 από τα 35.
Σελίδα 51
... letter a . This will stand for any number . Then the question will be , to divide any number , a , into two such parts , that one part may be three times as much as the other . The equation will be x + 3x = a 4 x = α a x = 4 3a 3x = 4 ...
... letter a . This will stand for any number . Then the question will be , to divide any number , a , into two such parts , that one part may be three times as much as the other . The equation will be x + 3x = a 4 x = α a x = 4 3a 3x = 4 ...
Σελίδα 53
... letter , as has been done in the two preceding examples . If any num- ber , which is divisible by 4 , be put in the place of a , in the first example , the answer will be in whole numbers . And if any number , which is divisible by 23 ...
... letter , as has been done in the two preceding examples . If any num- ber , which is divisible by 4 , be put in the place of a , in the first example , the answer will be in whole numbers . And if any number , which is divisible by 23 ...
Σελίδα 58
... letters ; but it is easy to represent these operations . We however fre- quently speak of adding , subtracting , multiplying , and dividing algebraic quantities , by which we mean , representing these operations . We have seen that to ...
... letters ; but it is easy to represent these operations . We however fre- quently speak of adding , subtracting , multiplying , and dividing algebraic quantities , by which we mean , representing these operations . We have seen that to ...
Σελίδα 59
... letter is written without a coefficient , it is always understood to have 1 for its coefficient ; thus x is the same as 1 x . Having found the share of the daughter , it is easy to find the shares of the other two . ' The son's share is ...
... letter is written without a coefficient , it is always understood to have 1 for its coefficient ; thus x is the same as 1 x . Having found the share of the daughter , it is easy to find the shares of the other two . ' The son's share is ...
Σελίδα 63
... letters of the alphabet for known quantities , and some of the last letters for unknown quantities . It is , however , fre- quently convenient to choose letters , that are the initials of the words for which they stand , whether the ...
... letters of the alphabet for known quantities , and some of the last letters for unknown quantities . It is , however , fre- quently convenient to choose letters , that are the initials of the words for which they stand , whether the ...
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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?