First Lessons in Algebra, Being an Easy Introduction to that Science: Designed for the Use of Academies and Common Schools |
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Common terms and phrases
a b c a b x A's share acres added Algebra algebraic quantity amount asked the age barrels binomial bought bushels cents coefficient complete the square compound quantity contain cube root debt difference Divide 18 dividend divisor dollars equal exponent expressed Extract the square fourth root gain gallons gentleman given quantity greater horse improper fraction less Let x A's letter miles an hour mixed multiply equation negative quantity obtain oranges peaches pears positive quantity pound quan question quotient Reduce remainder Required the number Required the square rods root of a² second power second term SECTION shillings Simple Quantities sold square root substituting this value subtracted third power tion transposition travelled twice unknown quantity worth x y z yards
Popular passages
Page 68 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Page 246 - Several gentlemen made an excursion, each taking the same sum of money. Each had as many servants attending him as there were gentlemen ; the number of dollars which each had was double the number of all the servants, and the whole sum of money taken out was 3456 dollars.
Page 122 - 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 68 - Then divide the first term of the remainder by the first term of the divisor...
Page 141 - 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 237 - 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 138 - 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 131 - 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 125 - 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 222 - Each man received one third as many shillings as there were persons relieved ; and each woman received twice as many shillings as there were women more than men. The men received all together 18s.