First Lessons in Algebra: Being an Easy Introduction to that Science ; Designated for the Use of Academies and Common Schools |
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a b c a b x A's share a² b² a² b³ a³ b² acres added Algebra amount answer apples asked the age binomial Binomial Theorem bought bushels cents chaise coefficient completing the square compound quantity contain cost cube root debt difference Divide 12 dividend divisor dollars equal equation exponent expressed Extract the square fifth power fourth power gain gallons gentleman give given quantity horse improper fraction less letter miles an hour Multiply negative quantity obtain oranges positive quantity quan question quotient Reduce remainder Required the square rods second power second term SECTION seventh power shillings simple quantity square root subtracted third power tion tiplied tity transposition twice unknown quantity whole worth x y z yards
Popular passages
Page 118 - A man driving his geese to market, was met by another, who said, good morrow, master, with your hundred geese ; says he, I have not a hundred ; but if I had half as many more as I now have, and two geese and a half, I should have a hundred ; how many had he ? /C s"~
Page 64 - Divide the first term of the dividend by the first term of the divisor, giving the first term of the quotient. Multiply the whole divisor by this term, and subtract the product from the dividend, arranging the remainder in the same order of powers as the dividend and divisor.
Page 137 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from home, it lasted the woman 30 days : how many days would the man alone be in drinking it ? Ans.
Page 247 - The fore-wheel of a carriage makes 6 revolutions more than the hind- wheel in going 120 yards; but if the circumference of each wheel be increased one yard, it will make only 4 revolutions more than the hind-wheel in the same distance.
Page 233 - A square court yard has a rectangular gravel walk round it. The side of the court wants 2 yards of being 6 times the breadth of the gravel walk ; and the number of square yards in the walk exceeds the number of yards in the periphery of the court by 164. Required the area of the court ? All equations of the second degree may be reduced to one of the following forms.
Page 134 - A gentleman invested -J of his property in a canal. When he sold out, he lost f of the sum invested, receiving only $1,446. What was the value of his property when he began ? Ans., $11,568. 29. A gentleman leaves $315 to be divided among four servants in the following manner : B is to receive as much as A, and |- as much more; C is to receive as much as A and B, and ^ as much more ; D is to receive as much as the other three, and £ as much more. What is the share of each ? price of the chaise, the...
Page 127 - There is a fish whose head weighs 9 lb. his tail weighs as much as his head and half his body, and his body weighs as much as his head and tail both.
Page 121 - The distance from A to D is 34 miles. The distance from A to B is to the distance .from C to D as 2 to 3. And ± of the distance from A to B, added to half the distance from C to D, is three times the distance from B to C. What are the respective distances ? Ans.
Page 137 - A hare starts 50 leaps before a grey-hound, and takes 4 leaps to the hound's 3; but 2 of the hound's leaps are equal to 3 of the hare's. How many leaps must the hound make, to overtake the hare ? 91.
Page 205 - RULE. I. Separate the given number into periods of two figures each, beginning at the right hand: the period on the left will often contain but one figure.