A Practical Treatise on Algebra: Designed for the Use of Students in High Schools and AcademiesR.S. Davis and Company, 1852 - 336 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 10.
Σελίδα 200
... proportional . The num- d ' bers 3 , 12 , 4 , 16 , are proportionals , for 3 1 and 12 4 ' 4 = 1 16 4 This equality of ratios is expressed by writing the four quantities ; thus , a : b :: c : d , and read , a is to b as c to d . 241. In ...
... proportional . The num- d ' bers 3 , 12 , 4 , 16 , are proportionals , for 3 1 and 12 4 ' 4 = 1 16 4 This equality of ratios is expressed by writing the four quantities ; thus , a : b :: c : d , and read , a is to b as c to d . 241. In ...
Σελίδα 203
... proportional between the other two . a : Let ac = b2 , and , dividing both by bc , we obtain b : : b : C. α b or PROP ... proportionals , any two being given , the third b2 may be found ; for ad = b2 , therefore b = √ad , a = 4 , and b2 ...
... proportional between the other two . a : Let ac = b2 , and , dividing both by bc , we obtain b : : b : C. α b or PROP ... proportionals , any two being given , the third b2 may be found ; for ad = b2 , therefore b = √ad , a = 4 , and b2 ...
Σελίδα 204
... proportionals , they will also be proportionals when taken inversely ; that is , the second will have the same ratio to the first that the fourth has to the third . Let abcd , then b : a :: d : c . Since by Prop . I. bc = ad , b d And ...
... proportionals , they will also be proportionals when taken inversely ; that is , the second will have the same ratio to the first that the fourth has to the third . Let abcd , then b : a :: d : c . Since by Prop . I. bc = ad , b d And ...
Σελίδα 205
... proportionals , they will also be proportionals by separation ; that is , the difference between the first and second will have the same ratio to the second , that the difference between the third and fourth has to the fourth . a : b cd ...
... proportionals , they will also be proportionals by separation ; that is , the difference between the first and second will have the same ratio to the second , that the difference between the third and fourth has to the fourth . a : b cd ...
Σελίδα 206
... proportionals , the sum of the first and second has the same ratio to their difference , that the sum of the third and fourth has to their difference . Let abcd ; then , also , a + ba - b :: c + d : c - d . For by Prop . VIII . and IX ...
... proportionals , the sum of the first and second has the same ratio to their difference , that the sum of the third and fourth has to their difference . Let abcd ; then , also , a + ba - b :: c + d : c - d . For by Prop . VIII . and IX ...
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.