Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and Horner's Theorems : and Practical ExamplesA. S. Barnes & Burr, 1860 - 400 páginas |
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Página 3
... ar- rangement , in many parts , has been changed ; new rules and new methods have been introduced : the modifica- tions indicated by its use , for twenty years , as a text book in the Military Academy have been freely made , for.
... ar- rangement , in many parts , has been changed ; new rules and new methods have been introduced : the modifica- tions indicated by its use , for twenty years , as a text book in the Military Academy have been freely made , for.
Página 20
... changed . For example , make a 7 and 64 : there results a— -b 3 . Now , make a 7+ 5 = 12 , and b = 4 + 5 = 9 , and there results , as before , a − b = 12 9 = 3 . - - 23. Of the different terms which compose a polynomial , some are ...
... changed . For example , make a 7 and 64 : there results a— -b 3 . Now , make a 7+ 5 = 12 , and b = 4 + 5 = 9 , and there results , as before , a − b = 12 9 = 3 . - - 23. Of the different terms which compose a polynomial , some are ...
Página 30
... changed , and then add the result to the other quantity . EXAMPLES . ( 1 ) . From Take Remainder Зас - 6ac 5ab + c2 3ac + 3ab -7c Sab + c2 + 7c . ( 2 ) . he same with lower line changed . the signs of the From Take Remainder 2a2 16a2 ...
... changed , and then add the result to the other quantity . EXAMPLES . ( 1 ) . From Take Remainder Зас - 6ac 5ab + c2 3ac + 3ab -7c Sab + c2 + 7c . ( 2 ) . he same with lower line changed . the signs of the From Take Remainder 2a2 16a2 ...
Página 32
... changed when the term is placed within the parenthesis . Hence , if we havə one or more terms included within a parenthesis having the minus sign before it , the signs of all the terms must be changed when the parenthesis is omitted ...
... changed when the term is placed within the parenthesis . Hence , if we havə one or more terms included within a parenthesis having the minus sign before it , the signs of all the terms must be changed when the parenthesis is omitted ...
Página 33
... changed by changing the order of its factors ; hence , we may write the product as follows : 7x4aaaaabbb , which is equivalent to 28a5b3 . Comparing this result with the given factors , we see that the co - efficient in the product is ...
... changed by changing the order of its factors ; hence , we may write the product as follows : 7x4aaaaabbb , which is equivalent to 28a5b3 . Comparing this result with the given factors , we see that the co - efficient in the product is ...
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Términos y frases comunes
algebraic expression algebraic quantities approximating fraction arithmetical arithmetical progression becomes called co-efficient contrary signs cube root decimal places deduce denote the number derived polynomial Divide dividend entire number example exponent extract the square figures Find the factors Find the square find the values following RULE formula fourth fractional unit given equation given number gives greatest common divisor hence indicated inequality irreducible fraction last term leading letter least common multiple logarithm mixed quantity monomial multiplicand and multiplier negative roots nth power nth root number of terms obtain operation perfect square positive roots preceding problem proposed equation quotient radical sign real roots remainder required root required to find result second degree second member second term simplest form square root substituted subtract suppose supposition take the equation taken third unknown quantity whence whole number write
Pasajes populares
Página 174 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Página 290 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 286 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Página 117 - The first ten numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 Roots.
Página 136 - Resolve the quantity under the radical sign into two factors, one of which is the greatest perfect power of the same degree as the radical.
Página 200 - RULE I. Separate the given number into periods. of three figures each, beginning at the right hand ; the left hand period will often con tain less than three places of figures.
Página 100 - 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 will it take each person to perform the same work alone.
Página 62 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator. EXAMPLES FOR PRACTICE.
Página 154 - B, departed from different places at the same time, and travelled towards each other. On meeting, it appeared that A had travelled 18 miles more than B ; and that A could have gone B's journey in 15| days, but B would have been 28 days in performing A's journey. How far did each travel ? Ans.
Página 222 - Consequently, teueя the index of the radical is divisible by the exponent of the power to which it is to be raised, perform the division, leaving the quantity under the radical sign unchanged.