An Introduction to Algebra Upon the Inductive Method of Instruction |
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Common terms and phrases
12 rods 3d power 3d root 5th power a b c A's share a² b² added algebra algebraic quantities answer the conditions apples approximate root Arith arithmetic becomes binomial Binomial Theorem bought breadth bushels cents apiece coefficient compound interest compound quantities consisting contain decimal denominator difference divide the number dividend divisor equal equation example exponent expressed factor figure formula found by multiplying fourth fraction gallons gives greater Hence horse length less Let the learner letter logarithm miles multiplicand number of dollars number of sheep number of terms observe pears question quotient remainder required to find rods rule second power second root second term shillings sold subtracted Suppose third power third root twice unknown quantity whole number yards zero
Popular passages
Page 92 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...
Page 81 - I. Divide the coefficient of the dividend by the coefficient of the divisor.
Page 232 - The sum of all the terms. Any three of which being given, the other two may be found.
Page 271 - Divide the number 49 into two such parts, that the quotient of the greater divided by the less, may be to the quotient ' of the less divided by the greater as | to f . 29.
Page 274 - Th? fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space. Required the circumference of each.
Page 14 - Three men built 780 rods of fence ; the first built 9 rods per day, the second 7, and the third 5 ; the second worked three times as many days as the first, and the third, twice as many days as the second. How many days did each work? 13. A man bought some oxen, some cows, and some calves for $348 ; the oxen at $38 each, the cows at $18, and the calves at $4. There were three times as many cows as oxen, and twice as many calves as cows. How many were there of each sort? 14. A merchant bought a quantity...
Page 269 - A farmer has a stack of hay, from which he sells a quantity, which is to the quantity remaining in the proportion of 4 to 5. He then uses 15 loads, and finds that he has a quantity left, which is to the quantity sold as 1 to 2. How many loads did the stack at first contain ? 10.
Page 272 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4 ; but if the digits be inverted, and that number divided by a number greater by 2 than the difference of the digits, the quotient becomes 14.
Page 200 - If the numerator and denominator both be multiplied or divided by the same number, the value of the quantity will not be altered ; for that is the same as raising it to a power, and then extracting the root.
Page 228 - That is, the first term of an increasing arithmetical progression is equal to the last term, minus the product of the common difference by the number of terms less one.