Gradations in Algebra in which the First Principles of Analysis are Inductively Explained: Illustrated by Copious Exercises, and Made Suitable for Primary SchoolsI. Ashmead, 1839 - 148 páginas |
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Página 9
... problems to be solved by equa- tions . As mathematical questions of this kind are always pleas- ing to young pupils , this arrangement will serve to impart an interest to the study at the commencement , and also to preserve a taste for ...
... problems to be solved by equa- tions . As mathematical questions of this kind are always pleas- ing to young pupils , this arrangement will serve to impart an interest to the study at the commencement , and also to preserve a taste for ...
Página 10
... problems . On this account I have required the pupil always to repeat verbally the operation that he has performed ; taking care to omit no part of the work that would hinder an auditor from under- standing the reason for the several ...
... problems . On this account I have required the pupil always to repeat verbally the operation that he has performed ; taking care to omit no part of the work that would hinder an auditor from under- standing the reason for the several ...
Página 26
... PROBLEMS . §39 . An algebraic problem is a proposition which requires the discovery or demonstration of some unknown truth . §40 . In the solution of problems , the first thing to be done , is to make a statement of the conditions , in ...
... PROBLEMS . §39 . An algebraic problem is a proposition which requires the discovery or demonstration of some unknown truth . §40 . In the solution of problems , the first thing to be done , is to make a statement of the conditions , in ...
Página 27
... problems , the learner should prove his answers . 3. A person told his friend that he gave 108 dollars for his horse and saddle ; and that the horse cost 8 times as much as the saddle . What was the cost of each ? Stating the question ...
... problems , the learner should prove his answers . 3. A person told his friend that he gave 108 dollars for his horse and saddle ; and that the horse cost 8 times as much as the saddle . What was the cost of each ? Stating the question ...
Página 33
... PROBLEMS . 1. What number is that , which , with 5 added to it , will be equal to 40 ? Stating the question , x = the number x + 5 , = after adding . x + 5 = 40 . Subtracting 5 , from both , x = 35 . Forming the equation , 2. A man ...
... PROBLEMS . 1. What number is that , which , with 5 added to it , will be equal to 40 ? Stating the question , x = the number x + 5 , = after adding . x + 5 = 40 . Subtracting 5 , from both , x = 35 . Forming the equation , 2. A man ...
Términos y frases comunes
A's share a²-2ab+b² added ALGEBRAICAL QUANTITIES answer apples arithmetic barley bought bushels called cents apiece chaise change the sign co-efficient compound quantity denotes difference digits Divide the number dividend division dollars equal fractions EQUATIONS.-SECTION EXAMPLES exponent factor find the value Find two numbers find x Forming the equation gallons gentleman Given greater harness improper fraction last member left pocket less letter literal quantities lowest terms manner merator method minus multiply the numerator number of yards numeral quantities obtain pears person principle proportion pupil purse quan question quotient ratio receive Reduce remainder represents rule saddle sheep shillings simple fraction simple quantity Substituting third tity Transposing and dividing Transposing and uniting twice Unite the terms UNITING FRACTIONS Uniting terms unknown quantity vinculum vulgar fraction Whence whole number whole quantity whole x's wine worth
Pasajes populares
Página 57 - A man driving his geese to market, was met by another, who said, good morrow, master, with your hundred geese...
Página 139 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Página 121 - Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Página 82 - A sum of money was divided between two persons, A and B, so that the share of A was to that of B as 5 to 3.
Página 45 - A person, at the time he was married, was 3 times as old as his wife ; but after they had lived together 15 years, he was only twice as old ; what were their ages on their wedding day ? Ans.
Página 80 - Prob. 14. A ship and a boat are descending a river at the same time. The ship passes a certain fort, when the boat is 13 miles below. The ship descends five miles, while the boat descends three. At what distance below the fort will they be together ? Ans.
Página 100 - There is a certain number, consisting of two digits, the sum of which digits is 5 ; and if 9 be added to the number itself the digits will be inverted ; what is the number?
Página 79 - Two men commenced trade together ; the first put in $40 more than the second, and the stock of the first was to that of the second as 5 to 4 ; what was the stock of each ? Ans. $200, and $160.
Página 55 - A post is one-fourth of its length in the mud, one-third in the water, and 10 feet above the water ; what is its whole length ? Ans. 24 feet.
Página 72 - ... 5, respectively ? Ans. 10 and 2 30. A person in play lost a fourth of his money, and then won back 3s., after which he lost a third of what he now had, and then won back 2s. ; lastly, he lost a seventh of what he then had, and after this found he had but 12s. remaining ; what had he at first ? Ans. 20s.