An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1834 - 276 σελίδες |
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Σελίδα 7
... root 133 XXIX . Extraction of the second root of fractions 142 XXX . Questions producing pure equations of the second de- gree 145 XXXI . Questions producing pure equations of the third de- gree 150 Extraction of the third root 151 ...
... root 133 XXIX . Extraction of the second root of fractions 142 XXX . Questions producing pure equations of the second de- gree 145 XXXI . Questions producing pure equations of the third de- gree 150 Extraction of the third root 151 ...
Σελίδα 138
... root 2 , instead of raising the whole 72 to the se- cond power , we may abridge it very much by observing , that the ... third figure of the root . Ob- serve that the 2d power of 720 or a2 + 2 a b + b2 has already been found and ...
... root 2 , instead of raising the whole 72 to the se- cond power , we may abridge it very much by observing , that the ... third figure of the root . Ob- serve that the 2d power of 720 or a2 + 2 a b + b2 has already been found and ...
Σελίδα 151
... third degree , as in those of the second degree , the power of the unknown quantity must first be separated from the known quantities , and made to stand alone in one member of the equation , by ... Third Root . Extraction of the third root.
... third degree , as in those of the second degree , the power of the unknown quantity must first be separated from the known quantities , and made to stand alone in one member of the equation , by ... Third Root . Extraction of the third root.
Σελίδα 152
... third root , it will be necessary to observe how the third power is formed from the first , when the first consists of several figures . Let a 30 and b = 5 ; then a + b = 35 . ( a + b ) 3 = a3 + 3 a2 b + 3 a b2 + b3 . a3 = 30 X 30 X 30 ...
... third root , it will be necessary to observe how the third power is formed from the first , when the first consists of several figures . Let a 30 and b = 5 ; then a + b = 35 . ( a + b ) 3 = a3 + 3 a2 b + 3 a b2 + b3 . a3 = 30 X 30 X 30 ...
Σελίδα 153
... root . 4. What is the third root of 79507 ? Operation . 79,507 ( 40 + 3 = 43 root . 64,000 15,507 ( 40 X 40 X 3 4800 divisor . 43 x 43 x 43 = 79,507 . As the number consists of five places , the power of the tens must be sought in the ...
... root . 4. What is the third root of 79507 ? Operation . 79,507 ( 40 + 3 = 43 root . 64,000 15,507 ( 40 X 40 X 3 4800 divisor . 43 x 43 x 43 = 79,507 . As the number consists of five places , the power of the tens must be sought in the ...
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Άλλες εκδόσεις - Προβολή όλων
An Introduction to Algebra: Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1837 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1826 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1831 |
Συχνά εμφανιζόμενοι όροι και φράσεις
12 rods 3d power 3d root 5th power a b c A's share a³ x² added algebra algebraic quantities apples approximate root arithmetic becomes binomial Binomial Theorem bought breadth bushels cents apiece coefficient compound interest compound quantities contain decimal denominator difference divide the number dividend divisor equal equation example exponent expression factor figure formula found by multiplying fourth fraction gallons gives greater Hence horse length less Let the learner letter logarithm merator miles multiplicand number of dollars number of sheep number of terms observe pears quan question quotient remainder required to find rods rule second power second root second term shillings sold subtracted Suppose third power third root Transposing twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 82 - ... way. It can then only be expressed. The usual way of expressing division, as has already been explained, is by writing the divisor under the dividend in the form of a fraction. Thus a divided by b is expressed T.
Σελίδα 2 - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...
Σελίδα 103 - 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.
Σελίδα 174 - ... shillings a head by them. How many sheep did he buy, and what was the price of each ? 10. A person bought two pieces of cloth of different sorts; of which the finer cost 4s. a yard more than the other. For the finer he paid £18 ; but for the coarser, which exceeded the finer in length by 2 yards, he paid only £16. How many yards were there in each piece, and what was the price of each .? 11.
Σελίδα 238 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα 234 - London to go round the world, (24590 miles,) one going East and the other West. A goes one mile the first day, two the second, three the third, and so on, increasing his rate one mile per day.
Σελίδα 17 - The head of a fish is 12 inches long, the tail is as long as the head + £ of the body, and the body is as long as the head and tail ; what is the length of the fish?
Σελίδα 233 - Hence, the sum of a series of numbers in progression by difference is one half of the product of the number of terms by the sum of the first and last terms. Example. How many strokes does the hammer of a clock strike in 12 hours ? a — 1, I= 12, and n = 12.
Σελίδα 14 - Let x denote one half the number of barrels. 15. From two towns, which are 187 miles apart, two travellers set out at the same time with an intention of meeting ; one of them travels at the rate of 8, the other of 9 miles each day. In how many days will they meet?