First Lessons in Algebra: Being an Easy Introduction to that Science ; Designated for the Use of Academies and Common SchoolsJenks and Palmer, 1840 - 252 σελίδες |
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Σελίδα 10
... Binomial Theorem .. Application of the Binomial Theorem to Polyno- mials IV . Addition V. Subtraction . VI . Multiplication .. VII . Division ..... Negative Exponents .. To divide Compound Quantities of different Powers ... 8585 93 95 ...
... Binomial Theorem .. Application of the Binomial Theorem to Polyno- mials IV . Addition V. Subtraction . VI . Multiplication .. VII . Division ..... Negative Exponents .. To divide Compound Quantities of different Powers ... 8585 93 95 ...
Σελίδα 20
... binomial . The latter expression , a — b , is also called a residual quan- tity , because it expresses the residue or remainder , after one of the terms has been taken from the other . Similar quantities are such as differ only in their ...
... binomial . The latter expression , a — b , is also called a residual quan- tity , because it expresses the residue or remainder , after one of the terms has been taken from the other . Similar quantities are such as differ only in their ...
Σελίδα 95
... of 19. Required the fourth power of 2a - 3 b2 + 4 2 x2 y x2 · a3 20. Required the second power of 512 — « 3 . 9 21. What is the second power of " * ? a b a4 b2 x4 y2 · SECTION III . The Binomial Theorem . The first and POWERS . 95.
... of 19. Required the fourth power of 2a - 3 b2 + 4 2 x2 y x2 · a3 20. Required the second power of 512 — « 3 . 9 21. What is the second power of " * ? a b a4 b2 x4 y2 · SECTION III . The Binomial Theorem . The first and POWERS . 95.
Σελίδα 96
... binomial and residual quantities , by actual multiplication . It is very appa- rent that , when a high power is ... Binomial Theorem . When we would express any required power of a given binomial or residual quantity , four things re ...
... binomial and residual quantities , by actual multiplication . It is very appa- rent that , when a high power is ... Binomial Theorem . When we would express any required power of a given binomial or residual quantity , four things re ...
Σελίδα 97
... binomial , a , is called the leading quantity ; and its exponents for the seventh power , are 7 , 6 , 5 , 4 , 3 , 2 , 1 . The last term of every power is the last letter of the given binomial , b , raised to that power ; and the other ...
... binomial , a , is called the leading quantity ; and its exponents for the seventh power , are 7 , 6 , 5 , 4 , 3 , 2 , 1 . The last term of every power is the last letter of the given binomial , b , raised to that power ; and the other ...
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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
Δημοφιλή αποσπάσματα
Σελίδα 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"~
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.