## The Analyst: A Monthly Journal of Pure and Applied Mathematics, Volumes 3-4Pierson & Blair, 1876 |

### From inside the book

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**Roots**, . 10 Problems , - Editorial Remarks , 32 Errata , 32 , 64 , 96 , 164 Extraction of**Roots**by Logarithms , 172 • On the Sum of the Cubes of any number of Terms of an Arithmetical Series , 15 On the Expression 00 , 31 , 64 , 95 ... Page 9

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**roots**of this equation will give the values of the abscissas for the Gaussian method . These**roots**are all real and lie between 0 and 1 , and when there is an odd number the middle one is . The approximate value of the integral is ... Page 10

A Monthly Journal of Pure and Applied Mathematics. Gauss has computed these

A Monthly Journal of Pure and Applied Mathematics. Gauss has computed these

**roots**and coefficients for all values of ...**root**is to be extracted , r an approximate 1**root**, == the degree of the**root**and R = the true**root**. Then ... Page 11

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**roots**of any degree , always converges , and rapidly ; and to practical men , who often forget how to calculate a cube , and sometimes a square**root**, will be of value in the ab- sence of a table of logarithms . Let it be required to ... Page 12

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**root**seems to be 1.99501 . The advantage of this method appears to be , the ready remembrance of the formula ; which for the square**root**is and for the cube**root**N ↑ 2r 2 ' N 2 3r2 + so that , at least for the square and cube**roots**...### Other editions - View all

### Common terms and phrases

5th degree a₁ algebraic ANALYST angle ARTEMAS MARTIN assumed axis b₁ C₁ circular coefficients common logarithms constant curve denote determine differential distance E. B. SEITZ ellipse Elliptic Functions equal equation expression factor formula function given circle gives hence hyperbola integral intersection inverse Lagrange's Theorem locus logarithms method multiply observations orbital orbital force ORSON PRATT oxen parabola parallel perpendicular plane points at infinity position probable error quadrics quadrilateral radius ratio reduce represent result roots sides SOLUTION BY PROF SOLUTIONS of problems sphere square substitution surface tangent Taylor's Theorem Theorem tion triangle UNION SPRINGS unknown quantities values velocity whence zero