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

### From inside the book

Results 1-5 of 17

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**algebraic**expression involving x . We have 4 ( x ) = 4 [ x ' + ( x − x ′ ) ] . Suppose the second member of this equation to be developed , and arranged according to the ascending powers of ( x - x ' ) , then 4 ( 2 ) = x [ x ' + ( x ... Page 17

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**algebraic**sum of their com- binations in sets of two and two , with the condition that each combination contains one , and only one , of the quantities in each row or column : and that the signs are determined by the following rule ... Page 33

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**Algebraic**equations in series , found a law resembling that which we have just developed . He published his re- sults in 1758 , and Lagrange generalized them into the theorem , which bears his name , in 1772. Finally , in the Mecanique ... Page 40

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**Algebraic**Equations . When Fx , all the terms of ( 34 ) , ( 35 ) vanish except the last , where DF = 1 ; and the first or special derivation of D ' , D ' ' etc. , must refer to h1 only . By such reduc- tions we have found from ( 33 ) ... Page 52

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**algebraic**equation of the 2nth degree , and having n pairs of sec- ondary conjugate roots , will have primary ( real ) coefficients , and its general form will be , ( 1 ) x2 + A1x2 - 1 + ..... + Agn - 1 + Agn = 0 . The roots of this ...### 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