An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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Page 20
... place the term containing the lowest power first , and that containing the next lowest next , and so on . This order of terms is called an arrangement ac- cording to the ascending powers of the letter ; whereas that of the preceding ...
... place the term containing the lowest power first , and that containing the next lowest next , and so on . This order of terms is called an arrangement ac- cording to the ascending powers of the letter ; whereas that of the preceding ...
Page 51
... place ; when he was gone 8 hours , another was sent after him at the rate of 224 miles every 3 hours . How soon will the second overtake the first ? Solution . If x = the required number of hours , the num- ber of hours which the first ...
... place ; when he was gone 8 hours , another was sent after him at the rate of 224 miles every 3 hours . How soon will the second overtake the first ? Solution . If x = the required number of hours , the num- ber of hours which the first ...
Page 52
... place , n days ago , at the rate of a miles a day . Another has just started , in pursuit of him , at the rate of b miles a day . In how many days will the second courier overtake the first ? Ans . If x the required number of days , the ...
... place , n days ago , at the rate of a miles a day . Another has just started , in pursuit of him , at the rate of b miles a day . In how many days will the second courier overtake the first ? Ans . If x the required number of days , the ...
Page 53
... place , and goes 27 miles daily . Another corps wishes to march in pursuit of it from the same place , and so quickly that it may reach the other in 6 days . How many miles must it march daily to accomplish it ? x = Ans . If the ...
... place , and goes 27 miles daily . Another corps wishes to march in pursuit of it from the same place , and so quickly that it may reach the other in 6 days . How many miles must it march daily to accomplish it ? x = Ans . If the ...
Page 55
... place of units , y = that in the place of tens , z = that in the place of hundreds . - The number is 100 % +10 y + x , and the required equations are y = 1 ( x + x ) 100 z +10 y + x = 48 x + y + z 100 % + 10y + x - 198-100x10 y + z . 12 ...
... place of units , y = that in the place of tens , z = that in the place of hundreds . - The number is 100 % +10 y + x , and the required equations are y = 1 ( x + x ) 100 z +10 y + x = 48 x + y + z 100 % + 10y + x - 198-100x10 y + z . 12 ...
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Common terms and phrases
126 become zero 3d root arithmetical progression coefficient commensurable roots common difference contained continued fraction continued product Corollary deficient terms denote derivative Divide dividend division equal roots equal to zero equation x² factor Find the 3d Find the 4th Find the continued Find the greatest Find the number Find the square Find the sum Free the equation Geometrical Progression given equation given number gives greatest common divisor Hence imaginary roots last term least common multiple letter logarithm monomials multiplied number of real number of terms polynomial positive roots preceding article Problem quantities in example quotient radical quantities ratio real roots reduced remainder required equation required number row of signs Scholium Second Degree Solution Solve the equation square root Sturm's Theorem subtracted Theorem unity unknown quan unknown quantity variable whence