An Introduction to Algebra: Upon the Inductive Method of InstructionHilliard, Gray & Company, 1841 - 276 σελίδες |
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Αποτελέσματα 1 - 5 από τα 39.
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
... , and it makes 42 , the true result , 84 26 42. This shows that we did right in adding x after sub- tracting 68. This will always be found true . Therefore , 68+ when any of the quantities to be subtracted have the 34 VI . Algebra .
... , and it makes 42 , the true result , 84 26 42. This shows that we did right in adding x after sub- tracting 68. This will always be found true . Therefore , 68+ when any of the quantities to be subtracted have the 34 VI . Algebra .
Σελίδα 53
... shows , that x is equal to of a . That is , the value of x is found by multiplying a by the fraction invert- ed . 4. In an orchard of fruit - trees , of them bear apples , of them cherries , and the remainder , which is a , bear peaches ...
... shows , that x is equal to of a . That is , the value of x is found by multiplying a by the fraction invert- ed . 4. In an orchard of fruit - trees , of them bear apples , of them cherries , and the remainder , which is a , bear peaches ...
Σελίδα 56
... shows , that if the $ 13 that A pays more than B , be taken out , the remainder is to be paid in equal a + b 5513 2 or 2 69 2 ' parts by them . Also the formula shows , that if B were to pay $ 13 more , he would pay as much as A , and ...
... shows , that if the $ 13 that A pays more than B , be taken out , the remainder is to be paid in equal a + b 5513 2 or 2 69 2 ' parts by them . Also the formula shows , that if B were to pay $ 13 more , he would pay as much as A , and ...
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 enters 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 enters 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 b c A's share a² b² a² b³ added algebra algebraic quantities apples approximate root Arith arithmetic becomes binomial Binomial Theorem bought breadth bushels cents apiece coefficient compound interest compound quantities consisting 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 sheep number of terms observe pears question quotient remainder required to find rods rule second power second root second term shillings sold subtracted Suppose third power third root twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 17 - ... of the length of the body, and the body is as long as the head and tail both. What is the whole length of the fish ? 17.
Σελίδα 82 - In each of these cases the division is to be indicated by writing . the divisor under the dividend, in the form of a fraction.
Σελίδα 83 - ... arithmetic. It was shown in arithmetic, that a fraction properly expresses a quotient. Algebraic fractions are subject to precisely the same rules as fractions in arithmetic. Many of the operations are more easily performed on algebraic fractions. In these, as in arithmetic, it must be kept in mind, that the denominator shows into how many parts a unit is divided ; and the numerator shows how many of those parts are used ; or the denominator shows into how many parts the numerator is divided....
Σελίδα 173 - B set out from two towns, which were distant 247 miles, and travelled the direct road till they met. A went 9 miles a day ; and the number of days, at the end of which they met, was greater by 3 than the number of miles which B went in a day. How many miles did each go ? • . ,.l \[ 17.
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 162 - ... 8. A man wishes to make a cistern which shall hold 500 gallons, in such a form that the length shall be to the breadth as 5 to 4, and the depth to the length as 2 to 5. Required the length, breadth, and depth.
Σελίδα 232 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα 270 - A detachment of soldiers from a regiment being ordered to march on a particular service, each company furnished four times as many men as there were companies in the...
Σελίδα 141 - ... 5th. Bring down the next two figures as before, to form a new dividend, and double the root already found, for a divisor, and proceed as before. The root will be doubled, if the right hand figure of the last divisor be doubled. If it happens that the divisor is not contained in the dividend when the right hand figure is rejected, a zero must be written in the root, and also at the right of the divisor ; and the next figures must be brought down, and then a new trial made. If it happens that the...