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

### From inside the book

Results 1-5 of 58

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**coefficients**for all cases to`n = ordinates . The following are the values to n = 6 . 0 1 For n = 1 , A = A1 = { } , For n = 2 , A。= A2 = 4 , - For n = 3 , A。= A3 = } , 41 = } , A1 = A2 = 8 , For n = 4 , A = A1 = 5 , A1 = 42 = 49 , 42 ... Page 8

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**coefficients**A , A1 , A2 , & c . , when the values of x are given equal to a , a1 , a2 , & c . ( 9 ) . We have now to determine the values of x so that the polynomial which expresses the value of y may rise to the 2nth degree and the ... Page 9

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**coefficients**for n = 0 , n = 1 , n = 2 , and n = 3 . For n = 0 . a = 0.5 До A = 1 . - For n = 1 . α = 0.21132487 a1 = 0.78867513 A1 For n = 2 . α = 0.11270167 A。 a1 - 0.5 A1 = For n = = 3 . aq = 0.88729833 a = 0.06943184 a1 ... Page 10

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

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

**coefficients**for all values of n , from n = 0 , to n = 6 , to sixteen places of decimals ; and a calculation of the errors shows that the degree of ... Page 17

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**coefficients**: thus we find x = - c12 — cb1 and y = ab , — a , b , a2b1 a1c2a2c1 a1b2 - aab1 These results may be exhibited more compactly thus c1 b1 a1 x = a1 C2 ba | 4 , 6 , and y = az cq b1 a1 a1 b1 a2 b2 az b2 where the symbol means ...### 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