An Introduction to Algebra Upon the Inductive Method of InstructionCummings, Hilliard,, 1825 - 372 σελίδες |
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Σελίδα iii
... letter to express the unknown quan- tity . These may be understood by any one who has a tolerable knowledge of arithmetic . All of them ex- cept the use of the letter have been explained in arith- metic . To reduce such an equation ...
... letter to express the unknown quan- tity . These may be understood by any one who has a tolerable knowledge of arithmetic . All of them ex- cept the use of the letter have been explained in arith- metic . To reduce such an equation ...
Σελίδα v
... letters , and at the same time the purpose of it . The transi- tion from particular cases to general principles is made as gradual 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 transi- tion from particular cases to general principles is made as gradual as possible . At first only a part of the question is generalized , and afterwards the whole of it . When ...
Σελίδα 3
... letters of the alphabet , as x , y , z , & c . I. 1. Two men , A and B , trade in company , and gain 267 dollars , of which B has twice as much as A. What is the share of each ? In this example the unknown quantities are the par ...
... letters of the alphabet , as x , y , z , & c . I. 1. Two men , A and B , trade in company , and gain 267 dollars , of which B has twice as much as A. What is the share of each ? In this example the unknown quantities are the par ...
Σελίδα 7
... 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 x . terms . + - The process of forming an equation by the condi ...
... 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 x . terms . + - The process of forming an equation by the condi ...
Σελίδα 44
... + 3 = the number taken in , & c . X 4 Ans . 36 passengers . 9. Four places are situated in the order of the four letters A , B , C , D. The distance from A to D is 134 miles , the distance from A to B is to 44 VII . Algebra .
... + 3 = the number taken in , & c . X 4 Ans . 36 passengers . 9. Four places are situated in the order of the four letters A , B , C , D. The distance from A to D is 134 miles , the distance from A to B is to 44 VII . Algebra .
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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 added algebraic quantities answer the conditions apples approximate root Arith becomes binomial Binomial Theorem bought breadth bushels coefficient compound interest compound quantities contain decimal denominator difference divide the number dividend divisor equal equation example exponent expressed factor find the root formula fourth fraction gallons gives greater Hence horse less Let the learner letter logarithm miles multi multiplicand multiplied negative quantity number of dollars number of terms observe pears question quotient received remainder required to find right hand figure rule second power second root second term shillings sold subtracted Suppose tens third power third root third term twice units unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 129 - 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 317 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα ii - 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 116 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...
Σελίδα 364 - A detachment of soldiers from a regiment being ordered to march on a particular service, each company furnished 4 times as many men as there were companies in the regiment ; but these being found insufficient, each company furnished three more men, when their number was found to be increased in the proportion of 17 to 16.
Σελίδα 38 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Σελίδα 363 - A farmer has a stack of hay, from which he sells a quantity, which is to the quantity remaining in the proportion of 4 to 5. He then uses 15 loads, and finds that he has a quantity left, which is to the quantity sold as 1 to 2. How many loads did the stack at first contain ? 10.
Σελίδα 312 - London to go round the •world, (23661 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 368 - ... and dollars diminished by 2, is half the number of coins. What is the number of coins of each sort ? 40. Suppose a man owes $1000, what sum shall he pay daily so as to cancel the debt, principal and interest, at the end of a year, reckoning it at 6 per cent. simple interest ? 41. A merchant bought two pieces of linen cloth, containing together 120 yards. He sold each piece for as many cents per yard as it contained yards, and found that one brought him in only A as much as the other.