An Introduction to Algebra: Upon the Inductive Method of InstructionHilliard, Gray & Company, 1841 - 276 σελίδες |
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Σελίδα 3
... reduce such an equation , requires only the application of the ordinary rules of arith- metic ; and these are applied so simply , that scarcely any one can mistake them , if left entirely to himself . One or two questions are solved ...
... reduce such an equation , requires only the application of the ordinary rules of arith- metic ; and these are applied so simply , that scarcely any one can mistake them , if left entirely to himself . One or two questions are solved ...
Σελίδα 7
... Reducing fractions to lower terms 89 XVIII . Addition and subtraction of fractions Division when part of the factors of the divisor are con- tained in the dividend To reduce fractions to a common denominator 90 91 . 91 XIX . Division of ...
... Reducing fractions to lower terms 89 XVIII . Addition and subtraction of fractions Division when part of the factors of the divisor are con- tained in the dividend To reduce fractions to a common denominator 90 91 . 91 XIX . Division of ...
Σελίδα 13
... reducing the equation . No rules can be given for putting questions into equations ; this must be learned by practice ... reduced to one term , and stands equal to a known quantity in the other , its value is found by dividing the known ...
... reducing the equation . No rules can be given for putting questions into equations ; this must be learned by practice ... reduced to one term , and stands equal to a known quantity in the other , its value is found by dividing the known ...
Σελίδα 15
... Reducing the terms to a com- 6 x 3 x 2 x mon denominator , + + = 88 6 6 6 11 x - 88 6 Adding them together , of 11 x being 88 , 11 x will be 6 times 88 , 11 x = 528 Dividing by 11 , ៖ x = 48 Ans . 48 years . 3. If of a hogshead of wine ...
... Reducing the terms to a com- 6 x 3 x 2 x mon denominator , + + = 88 6 6 6 11 x - 88 6 Adding them together , of 11 x being 88 , 11 x will be 6 times 88 , 11 x = 528 Dividing by 11 , ៖ x = 48 Ans . 48 years . 3. If of a hogshead of wine ...
Σελίδα 16
... reducing the above equation which in most cases is to be preferred . It is the same in principle . If both members of an equation be multiplied by the same number they evidently will still be equal . In the equation , Ꮖ X x = + + 5 . 2 ...
... reducing the above equation which in most cases is to be preferred . It is the same in principle . If both members of an equation be multiplied by the same number they evidently will still be equal . In the equation , Ꮖ X x = + + 5 . 2 ...
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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...