An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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Page 71
... bodies move in opposite directions ; one moves c feet in a second , the other C feet . The two places , from which they start at the same time , are distant a feet from one another . When will they meet ? a Ans . In seconds . + c 29 ...
... bodies move in opposite directions ; one moves c feet in a second , the other C feet . The two places , from which they start at the same time , are distant a feet from one another . When will they meet ? a Ans . In seconds . + c 29 ...
Page 72
... bodies move after one another in the circum- ference of a circle , which measures p feet . At first they are distant from each other by an arc measuring a feet ; the first moves c feet , the second C feet , in a second . When will those ...
... bodies move after one another in the circum- ference of a circle , which measures p feet . At first they are distant from each other by an arc measuring a feet ; the first moves c feet , the second C feet , in a second . When will those ...
Page 76
... bodies are together when the second body starts , the first body hav- ing just arrived at the point of departure of the second , and zero is , therefore , to be regarded as a real solution . 3. In what cases would the value of one of ...
... bodies are together when the second body starts , the first body hav- ing just arrived at the point of departure of the second , and zero is , therefore , to be regarded as a real solution . 3. In what cases would the value of one of ...
Page 79
... bodies move equally fast , and start from the same place ; they , therefore , re- main together , and any number whatever ... body ; which is here impos- sible . 3. In what case would all the terms of the fractional values of the unknown ...
... bodies move equally fast , and start from the same place ; they , therefore , re- main together , and any number whatever ... body ; which is here impos- sible . 3. In what case would all the terms of the fractional values of the unknown ...
Page 81
... body moves faster than the second , in which case the second cannot overtake it . The enunciation may be corrected for this case by supposing the bodies to travel in the opposite direction to Cases of negative value of unknown quantity ...
... body moves faster than the second , in which case the second cannot overtake it . The enunciation may be corrected for this case by supposing the bodies to travel in the opposite direction to Cases of negative value of unknown quantity ...
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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