An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gray, Little, and Wilkins, 1831 - 276 σελίδες |
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Σελίδα 3
... letter to express the un- known quantity . These may be understood by any one who has a tolerable knowledge of arithmetic . All of them , except the use of the letter , have been explained in arithmetic . To reduce such an equation ...
... letter to express the un- known quantity . These may be understood by any one who has a tolerable knowledge of arithmetic . All of them , except the use of the letter , have been explained in arithmetic . To reduce such an equation ...
Σελίδα 4
... letters , and at the same time the purpose of it . The transition from particular cases to general principles is made as gra- dual as possible . At first only a part of the question is generalized , and afterwards the whole of it . When ...
... letters , and at the same time the purpose of it . The transition from particular cases to general principles is made as gra- dual as possible . At first only a part of the question is generalized , and afterwards the whole of it . When ...
Σελίδα 10
... is presented at once in a single view . The signs generally used to express the unknown quantities above mentioned are some of the last letters of the alphabet , as X , Y , Z , & c . I. 1. Two men , A and B , trade 10 I. Algebra .
... is presented at once in a single view . The signs generally used to express the unknown quantities above mentioned are some of the last letters of the alphabet , as X , Y , Z , & c . I. 1. Two men , A and B , trade 10 I. Algebra .
Σελίδα 13
... letter showing how many times the letter is to be taken , is called the coefficient of that letter . In the quantities 7x , 15 x , 22 x ; 7 , 15 , 22 , are coefficients of a . The process of forming an equation by the conditions of a ...
... letter showing how many times the letter is to be taken , is called the coefficient of that letter . In the quantities 7x , 15 x , 22 x ; 7 , 15 , 22 , are coefficients of a . The process of forming an equation by the conditions of a ...
Σελίδα 39
... letters , A , B , C , D. The distance from A to D is 134 miles , the dis- tance from A to B is to the distance from C to D , as 3 to 2 , and one fourth of the distance from A to B , added to half the dis- tance from C to D , is three ...
... letters , A , B , C , D. The distance from A to D is 134 miles , the dis- tance from A to B is to the distance from C to D , as 3 to 2 , and one fourth of the distance from A to B , added to half the dis- tance from C to D , is three ...
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 - 1844 |
Συχνά εμφανιζόμενοι όροι και φράσεις
12 rods 3d power 3d root a b c A's share a+b+c a² b² a² b³ ac² added algebra algebraic quantities apples approximate root Arith arithmetic becomes binomial Binomial Theorem bought breadth bushels coefficient compound interest compound quantities contained decimal denominator difference divide the number dividend division divisor equal equation example exponent expression factor figure formula fourth fraction gallons gives greater Hence length less Let the learner letter logarithm lowest terms merator miles multiplicand negative quantity number of terms observe pears quan question quotient remainder required to find rule second power second root second term shillings sold square rods subtracted Suppose third power third root tities twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
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 236 - S ; any three of which being given, the other two may be found.
Σελίδα 17 - ... of the length of the body, and the body is as long as the head and tail both. What is the whole length of the fish ? 17.
Σελίδα 276 - A and B travelled on the same road and at the same rate from Huntingdon to London. At the 50th mile stone from London, A overtook a drove of geese which were proceeding at the rate of three miles in two hours ; and two hours afterwards met a stage waggon, which was moving at the rate of 9 miles in 4 hours. B overtook the same drove of geese at the 45th mile stone, and met the same stage waggon exactly forty minutes before he came to the 31st mile stone.
Σελίδα 231 - 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.
Σελίδα 222 - Examining the formation of the above coefficients, we observe, that each coefficient was found by multiplying the coefficient of the preceding...
Σελίδα 35 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Σελίδα 96 - To divide a whole number by a fraction, — Multiply the dividend by the denominator of the fraction, and divide the product by the numerator.
Σελίδα 156 - Take three times the square of the root just found for a trial divisor, and see how often it is contained in the dividend, and place the quotient for a second figure of the root. Then cube the figures of the root thus found, and if their cube be greater than the first two periods...
Σελίδα 81 - Hence we derive the following RULE. Divide the coefficient of the dividend by the coefficient of the divisor, and strike out the letters of the divisor from the dividend.