A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα v
... , are desirous only of obtaining a knowledge of the more practical and useful parts of mathe- matical science . WASHINGTON COLLEGE , Hartford , Aug. 1836 . CONTENTS . ARITHMETIC . CHAPTER I. PAGE Preliminary remarks and PREFACE .
... , are desirous only of obtaining a knowledge of the more practical and useful parts of mathe- matical science . WASHINGTON COLLEGE , Hartford , Aug. 1836 . CONTENTS . ARITHMETIC . CHAPTER I. PAGE Preliminary remarks and PREFACE .
Σελίδα 15
... obtained , the remainder . The sign of subtraction is , and is read minus ; 8-4 signifies , that 4 is to be subtracted from 8 . RULE . Write the numbers , as in addition , placing the less number under the greater . Begin at the right ...
... obtained , the remainder . The sign of subtraction is , and is read minus ; 8-4 signifies , that 4 is to be subtracted from 8 . RULE . Write the numbers , as in addition , placing the less number under the greater . Begin at the right ...
Σελίδα 17
... obtained by multi- plying by these factors successively . Let the numbers to be multiplied be 5 and 6. It is to be proved that 6 multiplied by 5 is the same as 5 multiplied by 6. Let the figure 1 be written five times in a horizontal ...
... obtained by multi- plying by these factors successively . Let the numbers to be multiplied be 5 and 6. It is to be proved that 6 multiplied by 5 is the same as 5 multiplied by 6. Let the figure 1 be written five times in a horizontal ...
Σελίδα 18
... obtained whatever numbers are used , and hence we are authorized to apply the principles laid down to all numbers . RULE I. When the multiplier is a single figure . ( 11. ) Set the multiplier , under the right hand figure of the ...
... obtained whatever numbers are used , and hence we are authorized to apply the principles laid down to all numbers . RULE I. When the multiplier is a single figure . ( 11. ) Set the multiplier , under the right hand figure of the ...
Σελίδα 43
... obtain 3 for the multi- 12 × 4 48 comes plier of the second fraction , which becomes 7x3 21 16 × 3 48 * The least number which can be divided , by several other numbers , without remainder , is called the least common mul- tiple of ...
... obtain 3 for the multi- 12 × 4 48 comes plier of the second fraction , which becomes 7x3 21 16 × 3 48 * The least number which can be divided , by several other numbers , without remainder , is called the least common mul- tiple of ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
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 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 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.
Σελίδα 73 - The first term of a ratio is called the antecedent, and the second term the consequent.
Σελίδα 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.
Σελίδα 78 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 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.