A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα 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 ...
Σελίδα 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 ...
Σελίδα viii
... proportion 78 Geometrical progression 81 Rule of Three 83 Application of the principles of proportion 84 Inverse proportion 86 Compound proportion 87 ALGEBRA . CHAPTER I. Definitions and notation 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 ALGEBRA . CHAPTER I. Definitions and notation To find the viii CONTENTS .
Σελίδα 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 ...
Σελίδα 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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Συχνά εμφανιζόμενοι όροι και φράσεις
2d power a²+2ab+b² a²b² a²x ab² added algebraic quantity Arith arithmetical progression ax² becomes Clearing of fractions coefficient common denominator common difference contained continued fraction cube root decimal fraction Divide the numerator dividend division equation evident EXAMPLES exponent expressed Extract the square extracting the root factors Find the greatest Find the sum find the value geometrical progression given number gives greater greatest common divisor hence improper fraction last term least common multiple letters logarithms lowest terms merator mixed number multiplicand Multiply nator nth root number of terms operation orders of units polynomials Prod quan quotient radical ratio remainder required to find result simple fraction square root subtractive terms tens tion tity unity unknown quantity vulgar fraction whence whole number writing written
Δημοφιλή αποσπάσματα
Σελίδα 117 - 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 178 - 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.
Σελίδα 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...
Σελίδα 161 - B with $96. A lost twice as much as B; and, upon settling their accounts, it appeared that A had three times as much remaining as B. How much did each lose ? Ans. A lost $96, and B lost $48.
Σελίδα 132 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Σελίδα 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...
Σελίδα 73 - The first term of a ratio is called the antecedent, and the second term the consequent.
Σελίδα 78 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 262 - A and B hired a pasture, into which A put 4 horses, and B as many as cost him 18 shillings a week ; afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired? Ans.
Σελίδα 60 - Multiply as in whole numbers, and from the right hand of the product point off as many figures for decimals as there are decimal places in both factors.