An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1834 - 276 σελίδες |
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Σελίδα 4
... principle , and as far as seemed practicable , the subjects are taught by example rather than by explanation . The demonstration of the Binomial Theorem is entirely original , so far as regards the rule for finding the coefficients ...
... principle , and as far as seemed practicable , the subjects are taught by example rather than by explanation . The demonstration of the Binomial Theorem is entirely original , so far as regards the rule for finding the coefficients ...
Σελίδα 5
... principle in what he has done before , than to have a new ex- ample for it . The author has heard it objected to his arithmetics by some , that they are too easy . Perhaps the same objection will be made to this treatise on algebra ...
... principle in what he has done before , than to have a new ex- ample for it . The author has heard it objected to his arithmetics by some , that they are too easy . Perhaps the same objection will be made to this treatise on algebra ...
Σελίδα 7
... principle that every equation of the second degree admits of two values for the unknown quantity Discussion concerning the possible and impossible values of the unknown quantity , also of the positive and nega- tive values of it , in ...
... principle that every equation of the second degree admits of two values for the unknown quantity Discussion concerning the possible and impossible values of the unknown quantity , also of the positive and nega- tive values of it , in ...
Σελίδα 16
... principle . If both members of an equation be multiplied by the same number they evidently will still be equal . In the equation , Ꮖ Ꮖ x == + 2 3 +5 . First multiply both members by 2 , the denominator of one o the fractions , and it ...
... principle . If both members of an equation be multiplied by the same number they evidently will still be equal . In the equation , Ꮖ Ꮖ x == + 2 3 +5 . First multiply both members by 2 , the denominator of one o the fractions , and it ...
Σελίδα 51
... principles and to form rules . In order to pre- serve the work so that the operations may appear in the result , it will be necessary to introduce a few more signs . 1. It is required to divide $ 500 between two men , so that one of ...
... principles and to form rules . In order to pre- serve the work so that the operations may appear in the result , it will be necessary to introduce a few more signs . 1. It is required to divide $ 500 between two men , so that one of ...
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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?