Ray's Algebra, Part First: On the Analytic and Inductive Methods of Instruction, with Numerous Practical Exercises, Designed for Common Schools and Academies, Μέρος 1Sargent, Wilson & Hinkle, 1848 - 240 σελίδες |
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Σελίδα 30
... evident . ART . 46. Each of the literal factors of any simple quantity or term is called a dimension of that term ; and the degree of any term depends on the number of its literal factors . Thus , ax consists of two literal factors , a ...
... evident . ART . 46. Each of the literal factors of any simple quantity or term is called a dimension of that term ; and the degree of any term depends on the number of its literal factors . Thus , ax consists of two literal factors , a ...
Σελίδα 33
... letter a , thus : 3a 4a 5a 12a REVIEW . - 53 . What is algebraic addition ? When quantities are simi lar , and have the same sign , how are they added together ? It is evident that the sum of 3 times a EXAMPLES IN NOTATION . 3383.
... letter a , thus : 3a 4a 5a 12a REVIEW . - 53 . What is algebraic addition ? When quantities are simi lar , and have the same sign , how are they added together ? It is evident that the sum of 3 times a EXAMPLES IN NOTATION . 3383.
Σελίδα 34
... evident that the sum of 3 times a , 4 times a , and 5 times a , would be 12 times a , or 12a , whatever a might represent . 2. In the same manner the sum of -3a , -4a , and -5a -3a would be -12a . Hence , the RULE , -4a -5a -12a FOR ...
... evident that the sum of 3 times a , 4 times a , and 5 times a , would be 12 times a , or 12a , whatever a might represent . 2. In the same manner the sum of -3a , -4a , and -5a -3a would be -12a . Hence , the RULE , -4a -5a -12a FOR ...
Σελίδα 35
... evident , the true result will be found , by + 10c adding the positive quantities into one sum , and the -4c negative quantities into another , and then taking -3c their difference . It is thus found that he received + 18c 25c , and ...
... evident , the true result will be found , by + 10c adding the positive quantities into one sum , and the -4c negative quantities into another , and then taking -3c their difference . It is thus found that he received + 18c 25c , and ...
Σελίδα 36
... evident that the question is impossible . But if we suppose that James had a certain sum of money before he received the 5c , we may inquire how much less money he had after the operation , than before it ; or , in other words , what ...
... evident that the question is impossible . But if we suppose that James had a certain sum of money before he received the 5c , we may inquire how much less money he had after the operation , than before it ; or , in other words , what ...
Άλλες εκδόσεις - Προβολή όλων
Ray's Algebra, Part First: On the Analytic and Inductive Methods of ... Joseph Ray Πλήρης προβολή - 1848 |
Συχνά εμφανιζόμενοι όροι και φράσεις
added algebraic quantities apples arithmetical progression arithmetical series binomial bought bushels called cents a piece coefficient common difference complete equation Completing the square denotes Divide the number dividend division dollars entire quantity equal exactly divide exponent expression extract the square find the greatest Find the product Find the square Find the sum find the value following examples fourth geometrical progression geometrical series Give an example greater greatest common divisor Hence last term least common multiple lemon letter manner method minus monomial negative quantities number of terms peaches perfect square polynomial positive quantity pound of coffee preceding prime factors principle proportion pupil quan question quotient ratio Ray's Reduce remainder represent the number required the numbers required to find result rule second degree sheep solution square root subtracted theorem three numbers tion tities transposing twice unknown quantity whole number
Δημοφιλή αποσπάσματα
Σελίδα 178 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 61 - 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 232 - Ratio is the quotient which arises from dividing one quantity by another of the same kind. Thus, the ratio of 2 to 6 is 3; the ratio of a to ma is m. REMARKS. — 1st In comparing two numbers or quantities by their quotient, the number expressing the ratio which the first bears to the second, will depend on which is made the standard of comparison.
Σελίδα 102 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 106 - ... by dividing the numerator of the dividend by the numerator of the divisor, and the denominator of the dividend by the denominator of the divisor.
Σελίδα 81 - The least Common Multiple of two or more quantities is the least quantity that will contain them exactly. Thus, 6 is the least common multiple of 2 and 3 ; and lOxy is the least common multiple of 2x and by. NOTE. — LCM stands for least common multiple.
Σελίδα 203 - The square of any polynomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second...
Σελίδα 235 - In any proportion the product of the means is equal to the product of the extremes.
Σελίδα 217 - If, then, any problem furnishes an equation in which the known term is negative, and greater than the square of half the coefficient of the first power of the unknown quantity, we infer, that the conditions of the problem are incompatible with each other.
Σελίδα 149 - How much has each ? Ans. A $980, B $1540, and C $2380. 11. A certain number is expressed by three figures, and the sum of the figures is 1 1 ; the figure in the place of units, is double that in the place of hundreds ; and if 297 be added to the number, its figures will be inverted ; required the number. Ans. 326.