A New Introduction to the Science of Algebra ... |
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Page iii
... principles of Arithmetic , might con- duct the learner by gradual and easy steps , from the expres sion of quantity by numbers , to the investigation of the relations of quantity , by algebraic symbols . In most of our public schools ...
... principles of Arithmetic , might con- duct the learner by gradual and easy steps , from the expres sion of quantity by numbers , to the investigation of the relations of quantity , by algebraic symbols . In most of our public schools ...
Page iv
... principles of arithmetic , he may proceed at once with algebra ; yet he will find it convenient to have always at hand , a treatise on arithmetic to which he can refer , when he would recall some principle which he may have forgotten ...
... principles of arithmetic , he may proceed at once with algebra ; yet he will find it convenient to have always at hand , a treatise on arithmetic to which he can refer , when he would recall some principle which he may have forgotten ...
Page viii
... proportion 78 Geometrical progression 81 Rule of Three 83 Application of the principles of proportion 84 Inverse proportion 86 Compound proportion 87 . Definitions and notation ALGEBRA . CHAPTER I. To find the viii CONTENTS .
... proportion 78 Geometrical progression 81 Rule of Three 83 Application of the principles of proportion 84 Inverse proportion 86 Compound proportion 87 . Definitions and notation ALGEBRA . CHAPTER I. To find the viii CONTENTS .
Page 10
... principle of succes- sive orders of units , of such values that ten units of the first order shall be equal to one of the second order , ten of the second order equal to one of the third order , and so on . number to ten , and then ...
... principle of succes- sive orders of units , of such values that ten units of the first order shall be equal to one of the second order , ten of the second order equal to one of the third order , and so on . number to ten , and then ...
Page 14
... principles of notation , ( 5 ) for since ten units of the first order are equal to one of the second order , when we ... principle . 41642 53841 37159 12 13 15 11 12 132642 In this example , the sum of the units is 12 , which cannot be ...
... principles of notation , ( 5 ) for since ten units of the first order are equal to one of the second order , when we ... principle . 41642 53841 37159 12 13 15 11 12 132642 In this example , the sum of the units is 12 , which cannot be ...
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Common terms and phrases
2ab+b² 2d power 4th power a²b² a²x a²x² added additive terms algebraic quantities Arith arithmetical progression ax² cent Clearing of fractions coefficient common denominator common difference contained cube root dividend division dollars equa evident EXAMPLES exponent expression Extract the cube Extract the square extracting the root factors Find the greatest Find the sum find the value fourth geometrical progression given number gives greater greatest common divisor hence improper fraction last term least common multiple less letter logarithms lowest terms merator mixed quantity monomial multiplicand nth root number of terms obtain polynomial Prod proportion quan quotient ratio remainder required to find result RULE simple fraction square root subtractive terms tens third power tion tity Transposing and reducing unity unknown quantity vulgar fraction whence whole number writing written
Popular passages
Page 161 - It is required to divide the number 99 into five such parts, that the first may exceed the second by 3, be less than the third by 10, greater than the fourth by 9, and less than the fifth by 16.
Page 184 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Page 186 - ... of the sum of the shares of the other three, the share of the second ^ of the sum of the other three, and the share of the third...
Page 70 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 63 - To divide a Decimal by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor...
Page 187 - What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes §; but the denominator being doubled, and the numerator increased by 2, the value becomes f 1 Ans.
Page 73 - The first term of a ratio is called the antecedent, and the second term the consequent.
Page 62 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 78 - In any proportion, the product of the means is equal to the product of the extremes.
Page 91 - If a footman travel 130 miles in 3 days, when the days are 12 hours long; in how many days, of 10 hours each, may he travel 360 miles ? Ans.