An Introduction to Algebra Upon the Inductive Method of Instruction |
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Page 10
... Observe that the signs and affect the numbers which they stand immediately before , and no others . Thus 14-6816 ; and 14 +86 = 16 ; -- and 86 + 14 = 16 ; and , in fine , 6 + 8 + 14 = 16. In all these cases the 6 only is to be ...
... Observe that the signs and affect the numbers which they stand immediately before , and no others . Thus 14-6816 ; and 14 +86 = 16 ; -- and 86 + 14 = 16 ; and , in fine , 6 + 8 + 14 = 16. In all these cases the 6 only is to be ...
Page 15
... Observe , that 3x 4 3 x 45 x 4 = 180 = x = 60 is the same as of 3 x . Now if of 3 x is 45 , 3 x itself must be 4 times 45 , or 180 ; 3 x being 180 , x must be of 180 , which is 60 . 2. A man , being asked his age , answered , that if ...
... Observe , that 3x 4 3 x 45 x 4 = 180 = x = 60 is the same as of 3 x . Now if of 3 x is 45 , 3 x itself must be 4 times 45 , or 180 ; 3 x being 180 , x must be of 180 , which is 60 . 2. A man , being asked his age , answered , that if ...
Page 18
... Observe , the second put in 3 of what the first put in , and the third put in 5 . 25. Three men traded together ; the first put in $ 700 , the second $ 450 , and the third $ 950 . They gained $ 420 . What was the share of each ? Observe ...
... Observe , the second put in 3 of what the first put in , and the third put in 5 . 25. Three men traded together ; the first put in $ 700 , the second $ 450 , and the third $ 950 . They gained $ 420 . What was the share of each ? Observe ...
Page 21
... Observe , that after the question is put into equation , the pur- pose is to make a stand alone in one member of the equation , equal to a known quantity in the other member , then the value of x is found . In the preceding examples in ...
... Observe , that after the question is put into equation , the pur- pose is to make a stand alone in one member of the equation , equal to a known quantity in the other member , then the value of x is found . In the preceding examples in ...
Page 34
... Observe that 68 -I is not so great as 68 by x . Therefore if I subtract 68 from 84 , I shall subtract too much by the quantity x , and I must add ♬ to obtain the true result . Then we have 84-68 + x for the difference between 84 and 68 ...
... Observe that 68 -I is not so great as 68 by x . Therefore if I subtract 68 from 84 , I shall subtract too much by the quantity x , and I must add ♬ to obtain the true result . Then we have 84-68 + x for the difference between 84 and 68 ...
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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.