A Practical Treatise on Algebra: Designed for the Use of Students in High Schools and AcademiesR.S. Davis and Company, 1852 - 336 σελίδες |
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Σελίδα 8
... figures , insert " or some letter or letters . " 11 , line 22 , for 5a read a = 5 . 2a + c2 , read √2ac + c2 . 18 , line 7 , for 7ax read -7ax . 18 , line 19 , for " are unlike " read " are alike . " 66 66 16 , line 1 , for 66 " L 66 ...
... figures , insert " or some letter or letters . " 11 , line 22 , for 5a read a = 5 . 2a + c2 , read √2ac + c2 . 18 , line 7 , for 7ax read -7ax . 18 , line 19 , for " are unlike " read " are alike . " 66 66 16 , line 1 , for 66 " L 66 ...
Σελίδα 9
... figures , each of which has a known and definite value . 3. In Algebra , we employ the letters of the alphabet , and other characters , the value of which is either known or unknown , according to the conditions of the problems . 4 ...
... figures , each of which has a known and definite value . 3. In Algebra , we employ the letters of the alphabet , and other characters , the value of which is either known or unknown , according to the conditions of the problems . 4 ...
Σελίδα 10
... figure or figures . Thus , let a denote a certain quantity , and 2a will denote twice the same quantity , 3a three times the same quantity , & c . 9. The numerical figure or figures prefixed to any symbol , and denoting the number of ...
... figure or figures . Thus , let a denote a certain quantity , and 2a will denote twice the same quantity , 3a three times the same quantity , & c . 9. The numerical figure or figures prefixed to any symbol , and denoting the number of ...
Σελίδα 11
... the quantity , which follows it ; or , that the root of the quantity is to be extracted . Thus , a denotes that the square root of a is to be extracted . 3 25. By placing a figure above the sign , DEFINITIONS AND NOTATIONS . 11.
... the quantity , which follows it ; or , that the root of the quantity is to be extracted . Thus , a denotes that the square root of a is to be extracted . 3 25. By placing a figure above the sign , DEFINITIONS AND NOTATIONS . 11.
Σελίδα 12
... figure above the sign , thus , 3 , it is made the radical sign of any root whatever . Thus , a sig- nifies the cube root of a ; 4 / a , the fourth root of a ; 5a , the fifth root ; " a , the mth root , & c . 26. The power of a quantity ...
... figure above the sign , thus , 3 , it is made the radical sign of any root whatever . Thus , a sig- nifies the cube root of a ; 4 / a , the fourth root of a ; 5a , the fifth root ; " a , the mth root , & c . 26. The power of a quantity ...
Άλλες εκδόσεις - Προβολή όλων
PRAC TREATISE ON ALGEBRA DESIG Benjamin 1786-1864 Greenleaf Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
added Algebra amount arithmetical arithmetical progression binomial breadth bushels coefficients common denominator common difference common index Completing the square compound interest contains courier cube root decimal distance divide both terms dividend divisor earth Evolving EXAMPLES exponent expressed Extract the square factor Find the sum find the value following RULE formula fraction gain geometrical geometrical mean geometrical progression geometrical series given number greater Hence infinity last term less lowest terms minus quantity number be divided number of terms number or quantity obtained oxen prefixed proportionals quadratic quadratic equation quan quantity or number quotient rate per cent ratio rational quantity remainder Required the numbers Required the sum required to find second term shillings simple form simple radical form square of half square rods square root subtracted surd THEOREM third power tity Transposing transposition twice unknown quantity value of x VERIFICATION
Δημοφιλή αποσπάσματα
Σελίδα 54 - RULE.! Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Σελίδα 39 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 235 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.
Σελίδα 61 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Σελίδα 263 - And if the given number be a proper vulgar fraction ; subtract the logarithm of the denominator from the logarithm of the numerator, and the remainder will be the logarithm sought ; which, being that of a decimal fraction, must always have a negative index.
Σελίδα 267 - BY LOGARITHMS. RULE. FROM the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.
Σελίδα 193 - Multiply the difference of the two numbers, found by trial, by the least error, and divide the product by the difference of the errors, when they are alike, but by their sum, when they are unlike. Or say...
Σελίδα 100 - J- of the sum of the shares of the other three, the share of the second £ of the sum of the other three, and the share of the third £ of the sum of the other three ; and it was found that the share of the oldest exceeded that of the youngest by $14.
Σελίδα 284 - Then, as the difference of these results is to the difference of the two assumed numbers, so is the difference between the true result, given...
Σελίδα 119 - Multiply the index of the quantity by the index of the power to which it is to be raised, and the result will be the power required.