A New Introduction to the Science of Algebra... |
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Page 65
Silas Totten. The degree of the power to which a number is to be raised , is indicated by writing to the right of the given number , and a little above , a small figure expressing the degree . Thus , 23 = 8 is the 3d power of 2. This ...
Silas Totten. The degree of the power to which a number is to be raised , is indicated by writing to the right of the given number , and a little above , a small figure expressing the degree . Thus , 23 = 8 is the 3d power of 2. This ...
Page 80
... raised to any power what- ever , and the resulting numbers will be proportional , as will be seen from the following examples : -- The square , The cube , 4 : 3 = 129 . 169 144 ,: 81 . = 64 27 1728 729 . - The fourth power , 256 : 81 ...
... raised to any power what- ever , and the resulting numbers will be proportional , as will be seen from the following examples : -- The square , The cube , 4 : 3 = 129 . 169 144 ,: 81 . = 64 27 1728 729 . - The fourth power , 256 : 81 ...
Page 86
... raised 100 yards of a certain work in 24 days , with 5 men ; how many must he employ to finish a like quantity of work in 15 days ? Ans . 8 . 4. A garrison of 536 men have provision for 12 months ; how long will these provisions last if ...
... raised 100 yards of a certain work in 24 days , with 5 men ; how many must he employ to finish a like quantity of work in 15 days ? Ans . 8 . 4. A garrison of 536 men have provision for 12 months ; how long will these provisions last if ...
Page 87
... 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 the equator ...
... 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 the equator ...
Page 97
... raised to their 2d , 3d and 4th powers , respectively . A vinculum or bar drawn over any number of letters , indicates the same as a parenthesis ; thus , Va + x indicates the square root of the sum of a and x , Va x , the square root of ...
... raised to their 2d , 3d and 4th powers , respectively . A vinculum or bar drawn over any number of letters , indicates the same as a parenthesis ; thus , Va + x indicates the square root of the sum of a and x , Va x , the square root of ...
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Common terms and phrases
2ab+b² 2d power 4th power a²b² a²x added algebraic quantity antecedents Arith arithmetical progression ax² cent Clearing of fractions coefficient common denominator common difference contained continued fraction cube root decimal fraction dividend division dollars 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 letters logarithms lowest terms mean terms multiplicand Multiply nator nth root number of terms obtain operation polynomial Prod quan quotient ratio remainder required to find result simple fraction square root subtractive terms tens third power tion tity Transposing and reducing unity unknown quantity Va² vulgar fraction whence whole number writing written
Popular passages
Page 268 - A put four 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 ? 49.
Page 136 - 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.
Page 167 - 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.
Page 73 - The first term of a ratio is called the antecedent, and the second term the consequent.
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.
Page 277 - A and B 165 miles distant from each other set out with a design to meet; A travels 1 mile the first day, 2 the second, 3 the third, and so on.
Page 88 - If 248 men, in 5 days, of 11 hours each, can dig a trench 230 yards long, 3 wide...
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 267 - A and B set off at the same time, to a place at the distance of 150 miles. A travels 3 miles an hour faster than B, and arrives at his journey's end 8 hours and 20 minutes before him.