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 sider |
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Resultat 1-5 av 30
Side 9
... operations of one illustrate the principles of the other . In order that this method of treating the subject might pre- serve its chief advantage , especially in the initiatory course of the study ; the work has been divided into two ...
... operations of one illustrate the principles of the other . In order that this method of treating the subject might pre- serve its chief advantage , especially in the initiatory course of the study ; the work has been divided into two ...
Side 10
... operations on numbers . But the great peculiarity of the book is , that it habituates the speech and the ear to ... operation that he has performed ; taking care to omit no part of the work that would hinder an auditor from under ...
... operations on numbers . But the great peculiarity of the book is , that it habituates the speech and the ear to ... operation that he has performed ; taking care to omit no part of the work that would hinder an auditor from under ...
Side 11
... operations that are generally embraced in arithmetical treatises . ADVERTISEMENT . The foregoing is the Preface of the author's " Inductive Treatise on the Elementary Principles of Algebra . " The first 146 pages of that book have been ...
... operations that are generally embraced in arithmetical treatises . ADVERTISEMENT . The foregoing is the Preface of the author's " Inductive Treatise on the Elementary Principles of Algebra . " The first 146 pages of that book have been ...
Side 14
... operations . We will proceed to show a few of these abbreviations . §3 . About the year 1554 , Stifelius , a German , introduced the sign for the words added to ; and called it plus . Ever since that time , + has been used to signify ...
... operations . We will proceed to show a few of these abbreviations . §3 . About the year 1554 , Stifelius , a German , introduced the sign for the words added to ; and called it plus . Ever since that time , + has been used to signify ...
Side 15
... operation of the last sum , instead of writing A's share , we have written simply A's . This method of abbreviation was used for for a long time before Stifelius wrote . But he simplified the operation , by employing only some capital ...
... operation of the last sum , instead of writing A's share , we have written simply A's . This method of abbreviation was used for for a long time before Stifelius wrote . But he simplified the operation , by employing only some capital ...
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 57 - A man driving his geese to market, was met by another, who said, good morrow, master, with your hundred geese...
Side 139 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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?
Side 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.
Side 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.
Side 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.