A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα 9
... dollar as the unit , the number of times one dollar is contained in that quantity , is the magnitude of the quantity . Thus 300 dollars is conceived to be com- posed of 300 parts , each of which is equal in value to one dollar . If the ...
... dollar as the unit , the number of times one dollar is contained in that quantity , is the magnitude of the quantity . Thus 300 dollars is conceived to be com- posed of 300 parts , each of which is equal in value to one dollar . If the ...
Σελίδα 73
... dollars ? Two ratios may be equal to each other , and such ratios , when written together , with the sign of equality between them , constitute a proportion . Thus , the arithmetical ratio 9 — 4 , is equal to the ratio 12-7 , and from ...
... dollars ? Two ratios may be equal to each other , and such ratios , when written together , with the sign of equality between them , constitute a proportion . Thus , the arithmetical ratio 9 — 4 , is equal to the ratio 12-7 , and from ...
Σελίδα 84
... dollars ? Here the ratio is given between the length of the two pieces of cloth , and one term of the ratio of the corresponding prices ; and it is evident that the ratio of the prices should be equal to the ratio of the lengths ; or ...
... dollars ? Here the ratio is given between the length of the two pieces of cloth , and one term of the ratio of the corresponding prices ; and it is evident that the ratio of the prices should be equal to the ratio of the lengths ; or ...
Σελίδα 85
... dollars per month of 30 days ? Ans . $ 165,866 . 5. How many yards of matting that is 3 feet broad will cover a floor that is 27 feet long and 20 feet broad ? Ans . 60 . 6. The joint stock of two merchants is 13,150 dollars ; they gain ...
... dollars per month of 30 days ? Ans . $ 165,866 . 5. How many yards of matting that is 3 feet broad will cover a floor that is 27 feet long and 20 feet broad ? Ans . 60 . 6. The joint stock of two merchants is 13,150 dollars ; they gain ...
Σελίδα 86
... dollars for a year at 5 per cent ? 100 : 2752 = 51 : x . Reducing the fractions to decimals , 100 : 275,755,25 : x . Dividing the first ratio by 25 , 4 : 11,035,25 : x . * 14,476875 . 6. What length must be cut off a board 72 86 ...
... dollars for a year at 5 per cent ? 100 : 2752 = 51 : x . Reducing the fractions to decimals , 100 : 275,755,25 : x . Dividing the first ratio by 25 , 4 : 11,035,25 : x . * 14,476875 . 6. What length must be cut off a board 72 86 ...
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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.