An Introduction to Algebra: With Notes and Observations : Designed for the Use of Schools and Places of Public Education : to which is Added an Appendix on the Application of Algebra to GeometryW.E. Dean, 1837 - 282 sider |
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Resultat 1-5 av 25
Side 70
... sought , be an odd number , as we may always suppose it , because if it is even , it may be halved by the ex- traction of the square root , till it becomes odd : and let x + y = kvp + q . Then A will involve the surd Vp , and B will be ...
... sought , be an odd number , as we may always suppose it , because if it is even , it may be halved by the ex- traction of the square root , till it becomes odd : and let x + y = kvp + q . Then A will involve the surd Vp , and B will be ...
Side 71
... sought x + y = t + v ( t2 - n ) ; the same expression as in the rule , when Q = 1 , s = 1 ; that is , when A2 - B2 is a perfect c power , and the greater number , A , is rational . II . n r + - When A is irrational , and Q = 1. By the ...
... sought x + y = t + v ( t2 - n ) ; the same expression as in the rule , when Q = 1 , s = 1 ; that is , when A2 - B2 is a perfect c power , and the greater number , A , is rational . II . n r + - When A is irrational , and Q = 1. By the ...
Side 88
... sought , is found equal to some given quantity , and conse- quently becomes known . The terms of an equation are the quantities of which it is composed ; and the parts that stand on the right 88 OF EQUATIONS . Of Equations, 88.
... sought , is found equal to some given quantity , and conse- quently becomes known . The terms of an equation are the quantities of which it is composed ; and the parts that stand on the right 88 OF EQUATIONS . Of Equations, 88.
Side 105
... sought . Or , it is generality best , when it can be done , to denote only one of the unknown quantities by x or y , and then to determine the expression for the others from the nature of the question ; after which the same method of ...
... sought . Or , it is generality best , when it can be done , to denote only one of the unknown quantities by x or y , and then to determine the expression for the others from the nature of the question ; after which the same method of ...
Side 106
... sought , Then 4x = And x2 - number of yards of enclosure , number of yards of pavement , Hence 4x X 5 = 20x price of enclosing it , And x2 X 2 2x3 = the price of the paving , Therefore 2x220x , by the question , Or , 2x = 20 , and x ...
... sought , Then 4x = And x2 - number of yards of enclosure , number of yards of pavement , Hence 4x X 5 = 20x price of enclosing it , And x2 X 2 2x3 = the price of the paving , Therefore 2x220x , by the question , Or , 2x = 20 , and x ...
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Vanlige uttrykk og setninger
Algebra answer arise arithmetical arithmetical mean ax² ax³ binomial bx² coefficients consequently cube root cubic equation decimal denominator denoted determined divisor equal EXAMPLES FOR PRACTICE expression factors find the square find the sum find the value find three find two numbers former formula four roots fraction geometrical give given equation given number Given x4 greater greatest common measure Hence infinite series integral last term logarithms method multiplied negative nth root number of terms perpendicular PROBLEM proportion quadratic equation quadratic surd question quotient rational remain Required the sum required to divide required to find resolved result rule second term side square number square root substituted subtracted surd three numbers unknown quantity value of x Whence whole numbers
Populære avsnitt
Side 45 - ... be the power required. Or, multiply the quantity into itself as many times, less one, as is denoted by the index of the power, and the last product will be tJie answer.
Side 43 - 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.
Side 27 - 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.
Side 87 - ... the first is to the third as the difference between the first and second is to the difference between the second and third, the quantities a, b, c, are said to be in harmonical proportion.
Side 126 - It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference. Ans. 10 and 14.
Side 112 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Side 126 - What two numbers are those whose sum, multiplied by the greater, is equal to 77 ; and whose difference, multiplied by the less, is equal to 12 ? Ans.
Side 29 - If there is a remainder after the last division, write it over the divisor in the form of a fraction, and annex it with its proper sign to the part of the quotient previously obtained.
Side 224 - N .•. def. (2), x— x1 is the logarithm of that is to say, The logarithm of a fraction, or of the quotient of two numbers, is equal to the logarithm of the numerator minus the logarithm of the denominator. III. Raise both members of equation (1) to the power of n. N" =a
Side 126 - It is required to divide the number 60 into two such parts, that their product shall be to the sum of their squares in the ratio of 2 to 5.