A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα viii
... Ratios and proportions 72 Arithmetical proportions 73 Arithmetical progressions 75 Geometrical proportion 78 Geometrical progression 81 Rule of Three 83 Application of the principles of proportion 84 Inverse proportion 86 Compound ...
... Ratios and proportions 72 Arithmetical proportions 73 Arithmetical progressions 75 Geometrical proportion 78 Geometrical progression 81 Rule of Three 83 Application of the principles of proportion 84 Inverse proportion 86 Compound ...
Σελίδα 72
... ratio . An arithmetical ratio is the difference of two numbers , and is expressed by writing the less number after the greater , with the sign of subtraction between them . Thus , the arith- metical ratio of 7 to 3 , is written 7-3 ...
... ratio . An arithmetical ratio is the difference of two numbers , and is expressed by writing the less number after the greater , with the sign of subtraction between them . Thus , the arith- metical ratio of 7 to 3 , is written 7-3 ...
Σελίδα 73
... 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 these two ratios ...
... 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 these two ratios ...
Σελίδα 75
... ratio , and the antecedent of the second . To such a proportion another ratio , or any number of ratios may be added , all having this same property , and this series of ratios is called an arithmetical series , or progression : thus ...
... ratio , and the antecedent of the second . To such a proportion another ratio , or any number of ratios may be added , all having this same property , and this series of ratios is called an arithmetical series , or progression : thus ...
Σελίδα 81
... ratio , or simply the ratio of the progression . In the above ex- amples , is the ratio of the first , since each term is of that which precedes it : and in the second , 3 is the ratio , each term being three times that which precedes ...
... ratio , or simply the ratio of the progression . In the above ex- amples , is the ratio of the first , since each term is of that which precedes it : and in the second , 3 is the ratio , each term being three times that which precedes ...
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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.