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 11
... common schools , he has endeavored to pre- pare this work , so that it may be studied by pupils who are not already adepts in arithmetic . And it is believed that such learners will not fail of obtaining , by a perusal of it , a full ...
... common schools , he has endeavored to pre- pare this work , so that it may be studied by pupils who are not already adepts in arithmetic . And it is believed that such learners will not fail of obtaining , by a perusal of it , a full ...
Página 21
... the less sum from the greater ; and prefix the sign of the greater to the difference , annexing the common letter . NOTE . It sometimes happens that the negative quantity is ADDITION AND SUBTRACTION . 21 General Rule for uniting Terms,
... the less sum from the greater ; and prefix the sign of the greater to the difference , annexing the common letter . NOTE . It sometimes happens that the negative quantity is ADDITION AND SUBTRACTION . 21 General Rule for uniting Terms,
Página 49
... common arithmetic , if we wish to divide 1 by 2 , we do it by writing 2 under the 1 ; thus , . So if we wish to divide 2 by 3 , we write 3 under the 2 ; thus , . In the same manner , 2 divided by 5 is written ; 34 is writ- ten ; 6 ÷ 7 ...
... common arithmetic , if we wish to divide 1 by 2 , we do it by writing 2 under the 1 ; thus , . So if we wish to divide 2 by 3 , we write 3 under the 2 ; thus , . In the same manner , 2 divided by 5 is written ; 34 is writ- ten ; 6 ÷ 7 ...
Página 77
... common denominator , if they are propor- tional their numerators will be the same , and if they are not proportional their numerators will not be the same . For example , is 11 to 21 = 33 to 63 ! We pursue our inquiry as follows : 11 to ...
... common denominator , if they are propor- tional their numerators will be the same , and if they are not proportional their numerators will not be the same . For example , is 11 to 21 = 33 to 63 ! We pursue our inquiry as follows : 11 to ...
Página 105
... common . The sign + ( plus ) represents addition . - The sign The sign The sign is sometimes put between two literal quanti- ties instead of x ; as a.b. But more generally , in Algebra the letters are joined together , to represent ...
... common . The sign + ( plus ) represents addition . - The sign The sign The sign is sometimes put between two literal quanti- ties instead of x ; as a.b. But more generally , in Algebra the letters are joined together , to represent ...
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.