An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1834 - 276 σελίδες |
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Σελίδα 4
... whole of it . When the learner understands the purpose of representing known quantities as well as unknown , by letters or general symbols , he is considered as fairly introduced to the subject of algebra , and ready to commence where ...
... whole of it . When the learner understands the purpose of representing known quantities as well as unknown , by letters or general symbols , he is considered as fairly introduced to the subject of algebra , and ready to commence where ...
Σελίδα 7
... whole numbers by fractions and fractions by fractions 95 XX . Division of compound quantities 98 XXI . A few abstract examples in equations 102 XXII . Miscellaneous Questions producing simple equations 104 XXIII . Questions producing ...
... whole numbers by fractions and fractions by fractions 95 XX . Division of compound quantities 98 XXI . A few abstract examples in equations 102 XXII . Miscellaneous Questions producing simple equations 104 XXIII . Questions producing ...
Σελίδα 11
... whole number to be divided . x + 5x + 7x + 12 x = 325 Putting all the x's together , 25x = 325 x = 13 A's share . 5x = = 65 B's 66 7x = 91 C's 66 66 12 x 156 = D's Note . All examples of this kind in algebra admit of proof . In this ...
... whole number to be divided . x + 5x + 7x + 12 x = 325 Putting all the x's together , 25x = 325 x = 13 A's share . 5x = = 65 B's 66 7x = 91 C's 66 66 12 x 156 = D's Note . All examples of this kind in algebra admit of proof . In this ...
Σελίδα 12
... whole price . 42x + 20x + 8x = 1400 Putting the x's together , Dividing by 70 , • 70 x 1400 = x = 20 Ans . 20 of each sort . 9. A man sold some calves and some sheep for $ 374 , the calves at $ 5 , and the sheep at $ 7 apiece ; there ...
... whole price . 42x + 20x + 8x = 1400 Putting the x's together , Dividing by 70 , • 70 x 1400 = x = 20 Ans . 20 of each sort . 9. A man sold some calves and some sheep for $ 374 , the calves at $ 5 , and the sheep at $ 7 apiece ; there ...
Σελίδα 13
... whole price . 7x + 15x = 374 Putting the x's together , 22 x = 374 Dividing by 22 , x = 17 = number of sheep . 3x = 51 = 66 calves . The learner must have remarked by this time , that when a question is proposed , the first thing to be ...
... whole price . 7x + 15x = 374 Putting the x's together , 22 x = 374 Dividing by 22 , x = 17 = number of sheep . 3x = 51 = 66 calves . The learner must have remarked by this time , that when a question is proposed , the first thing to be ...
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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?