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 17
... ; namely , x , y , z , u , & c . to denote the unknown quantities . And this is now the practice of all mathematicians . • Pronounced Da - Cart ' . Example 8. It is required to divide $ 300 among 2 * PRELIMINARY REMARKS . 17.
... ; namely , x , y , z , u , & c . to denote the unknown quantities . And this is now the practice of all mathematicians . • Pronounced Da - Cart ' . Example 8. It is required to divide $ 300 among 2 * PRELIMINARY REMARKS . 17.
Página 18
... denote how many times we take the quantity which that letter stands for , the figure is called a co - efficient . * Thus , in the term 2x , 2 is a co - efficient of x ; in the term 3A , 3 is a co - effi cient of A. §12 . It must also be ...
... denote how many times we take the quantity which that letter stands for , the figure is called a co - efficient . * Thus , in the term 2x , 2 is a co - efficient of x ; in the term 3A , 3 is a co - effi cient of A. §12 . It must also be ...
Página 19
... denote a quantity , when it is not united to any other quan- tity by either the sign + or , is called a simple quantity . Thus , x is a simple quantity ; 2x is a simple quantity ; 12 is a simple quantity ; & c . ADDITION AND SUBTRACTION ...
... denote a quantity , when it is not united to any other quan- tity by either the sign + or , is called a simple quantity . Thus , x is a simple quantity ; 2x is a simple quantity ; 12 is a simple quantity ; & c . ADDITION AND SUBTRACTION ...
Página 105
... denotes that the whole quantity on the left of it , is equal to the whole quantity on the right . The signor ( plus or minus and minus or plus , ) shows that either by addition or subtraction , the effect will be the same . The sign or ...
... denotes that the whole quantity on the left of it , is equal to the whole quantity on the right . The signor ( plus or minus and minus or plus , ) shows that either by addition or subtraction , the effect will be the same . The sign or ...
Página 106
... denotes the difference between two quantities . The sign > or < ( greater than or less than ) de- notes that that quantity towards which it opens is greater than the other . The sign ( a vinculum , ) denotes that all which is put under ...
... denotes the difference between two quantities . The sign > or < ( greater than or less than ) de- notes that that quantity towards which it opens is greater than the other . The sign ( a vinculum , ) denotes that all which is put under ...
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.