An Introduction to Algebra Upon the Inductive Method of InstructionCummings, Hilliard,, 1825 - 372 σελίδες |
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Σελίδα v
... known quantities by 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 ...
... known quantities by 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 ...
Σελίδα ix
... known quan- tities III . Questions producing simple equations , in which the unknown quantity is added to known quan- tities IV . Questions producing simple equations , in which quantities consisting of two or more terms are to be ...
... known quan- tities III . Questions producing simple equations , in which the unknown quantity is added to known quan- tities IV . Questions producing simple equations , in which quantities consisting of two or more terms are to be ...
Σελίδα x
... known quantities 53 Elimination , what 56 62 82 IX . Explanation of some of the higher purposes of algebra , and examples of generalization Addition , multiplication , and subtraction of sim- X. Simple quantities ple quantities XI ...
... known quantities 53 Elimination , what 56 62 82 IX . Explanation of some of the higher purposes of algebra , and examples of generalization Addition , multiplication , and subtraction of sim- X. Simple quantities ple quantities XI ...
Σελίδα xi
... known quan- tities XXVII . Questions producing equations of the second degree XXVIII . Extraction of the second root XXIX . Extraction of the second root of fractions XXX . Questions producing pure equations of the second degree XXXI ...
... known quan- tities XXVII . Questions producing equations of the second degree XXVIII . Extraction of the second root XXIX . Extraction of the second root of fractions XXX . Questions producing pure equations of the second degree XXXI ...
Σελίδα 3
... known ; these , when found , are the answer to the question . It will be found extremely useful to have signs to express these unknown quantities , because it will enable us to keep the object more steadily and dis- tinctly in view . We ...
... known ; these , when found , are the answer to the question . It will be found extremely useful to have signs to express these unknown quantities , because it will enable us to keep the object more steadily and dis- tinctly in view . We ...
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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.