A New Introduction to the Science of Algebra ... |
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Page iv
... decimal , is an indispensable prepa- ration for the study of algebra , and the same demonstrations apply both to numerical and algebraic fractions . Having accustomed the pupil to reasoning upon numbers , in the first three chapters ...
... decimal , is an indispensable prepa- ration for the study of algebra , and the same demonstrations apply both to numerical and algebraic fractions . Having accustomed the pupil to reasoning upon numbers , in the first three chapters ...
Page viii
... decimal To reduce a decimal to a vulgar fraction Circulating decimals Addition of decimals Subtraction of decimals Multiplication of decimals Division of decimals · 52 54 55 66 59 60 66 62 Involution and evolution CHAPTER III . · To ...
... decimal To reduce a decimal to a vulgar fraction Circulating decimals Addition of decimals Subtraction of decimals Multiplication of decimals Division of decimals · 52 54 55 66 59 60 66 62 Involution and evolution CHAPTER III . · To ...
Page x
... decimals 224 Calculus of radicals 228 To reduce radicals to their simplest form 229 To reduce radicals of different indices to equivalent radicals having a common index 233 Addition and subtraction of radicals 234 Multiplication of ...
... decimals 224 Calculus of radicals 228 To reduce radicals to their simplest form 229 To reduce radicals of different indices to equivalent radicals having a common index 233 Addition and subtraction of radicals 234 Multiplication of ...
Page 24
... decimal notation , each figure taking its value from the place which it occupies ; and in adding the - next lower order of units to the remainder , resulting from the division of a higher order , it is written at the right of that ...
... decimal notation , each figure taking its value from the place which it occupies ; and in adding the - next lower order of units to the remainder , resulting from the division of a higher order , it is written at the right of that ...
Page 52
... DECIMAL FRACTIONS . ( 43. ) A decimal fraction is one which has for its denominator an unit , with as many cyphers annexed to it as the numerator has places of figures . It is customary to write the numerator only , since by the number ...
... DECIMAL FRACTIONS . ( 43. ) A decimal fraction is one which has for its denominator an unit , with as many cyphers annexed to it as the numerator has places of figures . It is customary to write the numerator only , since by the number ...
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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.