An Introduction to Algebra Upon the Inductive Method of Instruction |
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Page 2
... manner of treating them . The author has used his own language , and explained as seemed to him best , without reference to any other work . A large number of examples introduce and illustrate every principle , and as far as seemed ...
... manner of treating them . The author has used his own language , and explained as seemed to him best , without reference to any other work . A large number of examples introduce and illustrate every principle , and as far as seemed ...
Page 11
... manner as if 3 oxen were worth $ 267 , 1 ox would be worth of it . x = 89 2 x 178 - A's share . B's share . 2. Four men , A , B , C , and D , found a purse of money con- taining $ 325 , but not agreeing about the division of it , each ...
... manner as if 3 oxen were worth $ 267 , 1 ox would be worth of it . x = 89 2 x 178 - A's share . B's share . 2. Four men , A , B , C , and D , found a purse of money con- taining $ 325 , but not agreeing about the division of it , each ...
Page 20
... manner perform the 2d and 3d . The 4th may be solved in a similar manner . Let the elder son's share be represented by x . The second son's share , being $ 2000 less , will be x - 2000 . The young- er son's share , being $ 1000 less ...
... manner perform the 2d and 3d . The 4th may be solved in a similar manner . Let the elder son's share be represented by x . The second son's share , being $ 2000 less , will be x - 2000 . The young- er son's share , being $ 1000 less ...
Page 23
... manner ; the eldest is to re- ceive 1000 crowns less than half the whole fortune ; the second is to receive 800 crowns less than of the whole ; and the third is to receive 600 crowns less than of the whole . Required the amount of the ...
... manner ; the eldest is to re- ceive 1000 crowns less than half the whole fortune ; the second is to receive 800 crowns less than of the whole ; and the third is to receive 600 crowns less than of the whole . Required the amount of the ...
Page 28
... whole amounted to 90 cents . How many were there of each sort ? If he had sold 13 at 5 cents apiece , then the number sold at 4 cents apiece would be 20-13 , or 7 . IV . Equations . 29 In the same manner , 28 IV . Algebra .
... whole amounted to 90 cents . How many were there of each sort ? If he had sold 13 at 5 cents apiece , then the number sold at 4 cents apiece would be 20-13 , or 7 . IV . Equations . 29 In the same manner , 28 IV . Algebra .
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Common terms and phrases
3d power 3d root 5th power a b c A's share a² b³ added algebra algebraic quantities apples approximate root Arith arithmetic becomes binomial Binomial Theorem bought breadth bushels coefficient compound interest compound quantities consisting contain decimal denominator divide the number dividend divisor equal equation example exponent expressed factors figure find the root find the sum formula found by multiplying fraction gallons geometrical progression 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 third term twice unknown quantity whole number yards zero
Popular passages
Page 31 - many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Page 34 - A certain person has two silver cups, and only one cover for both. The first cup weighs 12 oz. If the first cup be covered it weighs twice as much as the other cup, but if the second be covered it weighs three times as much as the first.
Page 89 - 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.
Page 242 - ... which was moving at the rate of 9 miles in 4 hours. B overtook the same drove of geese at the 45th mile stone, and met the same stage waggon exactly forty minutes before he came to the 31st mile stone. Where was B when A reached London ? (57.
Page 82 - It has been shown above that if both numerator and denominator be multiplied by the same number, the value of the fraction will not be altered. If...
Page 13 - 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?
Page 86 - To divide a whole number by a fraction, — Multiply the dividend by the denominator of the fraction, and divide the product by the numerator.
Page 204 - The sum of all the terms. Any three of which being given, the other two may be found.