## An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |

### From inside the book

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... root is to be extracted , the index of the root being placed to the left of the sign and a little above it . The index 2 is generally omitted , and the radical sign , without any index , is regarded as indicating the second or

... root is to be extracted , the index of the root being placed to the left of the sign and a little above it . The index 2 is generally omitted , and the radical sign , without any index , is regarded as indicating the second or

**square root**... Page 5

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**square root**of x2 + y2 . The bar is sometimes placed vertically . Thus , ax + 5a2x2 - 3c | x3 -26 +3 + 4d +3 c -2d -1 is the same as ( a - 2b + 3c ) x + ( 5a2 + 3-2d ) x2 + ( - 3c4d - 1 ) x3 . 18. Similar terms are those in which the ... Page 46

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**square root**of their product . 92. A succession of several equal ratios is called a continued proportion . Thus , A : BC : D E : F , & c . is a continued proportion . 93. Theorem . The sum of any number of ante- cedents in a ... Page 126

... root of 1003-003001 . Ans . 10.01 . 9. Find the 3d root of 0.756058031 . Ans . 0.911 . 10. Find the 3d root of ...

... root of 1003-003001 . Ans . 10.01 . 9. Find the 3d root of 0.756058031 . Ans . 0.911 . 10. Find the 3d root of ...

**square root**, we have u x2 , U = 2 x , m = a2 α2 , M = 2a ; and , since the square of a + his The**Square Root**of ... Page 127

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**square**of the whole**root**at each successive approximation ; for the**square**of a being already subtracted , it is sufficient to subtract ( 2a + h ) h from the remainder , in order to obtain the next remainder . In this way , we obtain ...### Other editions - View all

### Common terms and phrases

126 become zero 3d root arithmetical mean arithmetical progression Binomial Theorem 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 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