A New Introduction to the Science of Algebra ... |
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Page 9
... feet in length . 1 Quantities of every kind whatever can therefore be ex- pressed by numbers , the number always expressing how many times the assumed unit of quantity is contained in the given quantity . ( 3. ) Arithmetic and Algebra ...
... feet in length . 1 Quantities of every kind whatever can therefore be ex- pressed by numbers , the number always expressing how many times the assumed unit of quantity is contained in the given quantity . ( 3. ) Arithmetic and Algebra ...
Page 27
... feet , and less than four feet . The excess of each of these parts above three feet , must , therefore , be expressed by a fraction . Haying divided 19 by 5 , we have 3 for a quotient , and a remainder of 4. We may now conceive each ...
... feet , and less than four feet . The excess of each of these parts above three feet , must , therefore , be expressed by a fraction . Haying divided 19 by 5 , we have 3 for a quotient , and a remainder of 4. We may now conceive each ...
Page 84
... feet of wall in a given time , how many feet of wall will 31 men build in the same time ? Here , the ratio between the number of men must 84 ARITHMETIC . Application of the principles of proportion.
... feet of wall in a given time , how many feet of wall will 31 men build in the same time ? Here , the ratio between the number of men must 84 ARITHMETIC . Application of the principles of proportion.
Page 85
... feet . feet . 18 : x 18 × 31 = 558 558 x = = 21 261 , the answer . NOTE . In stating a proportion , it is necessary to observe , that as the known term of the second ratio is always put for the antecedent , the corresponding term of the ...
... feet . feet . 18 : x 18 × 31 = 558 558 x = = 21 261 , the answer . NOTE . In stating a proportion , it is necessary to observe , that as the known term of the second ratio is always put for the antecedent , the corresponding term of the ...
Page 87
... feet , was raised 9 feet by 16 men in 6 days ; how many men must be employed to finish it in 4 days at the same rate of working ? Ans . 72 . 8. The circumference of the earth is about 24877 miles ; at what rate per hour is a person at ...
... feet , was raised 9 feet by 16 men in 6 days ; how many men must be employed to finish it in 4 days at the same rate of working ? Ans . 72 . 8. The circumference of the earth is about 24877 miles ; at what rate per hour is a person at ...
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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.