An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1829 - 276 σελίδες |
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Σελίδα 9
... show how this difficulty may be obviated . It has been shown in Arithmetic , that ordinary calculations are very much facilitated by a set of arbitrary signs , called figures ; it will now be shown that the reasoning , previous to ...
... show how this difficulty may be obviated . It has been shown in Arithmetic , that ordinary calculations are very much facilitated by a set of arbitrary signs , called figures ; it will now be shown that the reasoning , previous to ...
Σελίδα 34
... makes 42 , the true result , 84—68 + 26 = 42 This shows that we did right in adding x after sub- tracting 68. This will always be found true . Therefore , - before when any of the quantities to be subtracted 34 VI . Algebra .
... makes 42 , the true result , 84—68 + 26 = 42 This shows that we did right in adding x after sub- tracting 68. This will always be found true . Therefore , - before when any of the quantities to be subtracted 34 VI . Algebra .
Σελίδα 53
... shows , that x is equal to of a . is , the value of x is found by multiplying a by the fraction inverted . 4. In an orchard of fruit - trees , of them bear apples , of them cherries , and the remainder , which is a , bear peaches . How ...
... shows , that x is equal to of a . is , the value of x is found by multiplying a by the fraction inverted . 4. In an orchard of fruit - trees , of them bear apples , of them cherries , and the remainder , which is a , bear peaches . How ...
Σελίδα 56
... shows , that if the $ 13 that A pays or 2 2 42 2 more than B , be taken out , the remainder is to be paid in equal parts by them . Also the formula a + b or 2 55 +13 2 68 2 shows , that if B were to pay $ 13 more , he would pay as much ...
... shows , that if the $ 13 that A pays or 2 2 42 2 more than B , be taken out , the remainder is to be paid in equal parts by them . Also the formula a + b or 2 55 +13 2 68 2 shows , that if B were to pay $ 13 more , he would pay as much ...
Σελίδα 68
... show how many times that letter is a factor in the product . The figure 3 over the a shows , that a enters three times as a factor ; and the 2 over the b , that b en- ters twice as a factor , and the expression is to be understood the ...
... show how many times that letter is a factor in the product . The figure 3 over the a shows , that a enters three times as a factor ; and the 2 over the b , that b en- ters twice as a factor , and the expression is to be understood 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's share a² b² a² b³ 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 expressed 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 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 tities Transposing twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 2 - District Clerk's Office. BE IT REMEMBERED, That on the twenty-fourth day of June, AD 1825, in the forty-ninth year of the Independence of the United States o"f America, WARREN COLBDRS, of the said district, has deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : — " An Introduction to Algebra, upon the Inductive Method of Instruction.
Σελίδα 101 - 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 92 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...
Σελίδα 2 - States entitled an act for the encouragement of learning hy securing the copies of maps, charts and books to the author., and proprietors of such copies during the times therein mentioned, and also to an act entitled an act supplementary to an act, entitled an act for the encouragement of learning by securing the copies of maps, charts and books to the authors and proprietors of such copies during the times therein mentioned and extending the benefits thereof to the arts of designing, engraving and...
Σελίδα 44 - A and B have the same income; A saves £ of his ; but B, by spending $ 30...
Σελίδα 271 - The same sum put out at the same rate for 15 months amounts to 792.1875. Required the sum and the rate per cent. 25. From two casks of equal size are drawn quantities which are in the proportion of 5 to 8 ; and it appears that if 20...
Σελίδα 96 - To divide a whole number by a fraction, — Multiply the dividend by the denominator of the fraction, and divide the product by the numerator.
Σελίδα 174 - From two places at a distance of 320 miles, two persons, A and B, set out at the same time to meet each other. A travelled 8 miles a day more than B, and the number of days in which they met was equal to half the number of miles B went in a day. How many miles did each travel, and how far per day ? 20.
Σελίδα 274 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel, in going 120 yards ; but if the circumference of each wheel be increased...
Σελίδα 35 - ... dollars. How many days did he work, and how many days was he idle ? Ans.