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

### From inside the book

Results 1-5 of 75

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**represent**its rate of motion . At the U 426 R P S X same instant that A starts from 0 , let an- other point B start from P at a distance b from 0 , and move along the line OU . Let the distances of the contemporaneous positions of A and ... Page 14

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**representing**any 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 ) ... Page 15

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**represented**by straight lines , perpendicular to one another , and correctly subdivided on the same scale ; while the parallels are**represented**by arcs of circles described with radii proportional to the cotangents of the latitudes ... Page 18

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**represented**by enclosing the n2 quantities within two vertical lines , as in the examples already given . 3 ...**represent**the Determi- nants of all the principal minors of the mn quantities we will enclose the array in double ... Page 29

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**represent**all the possible events , 43 in which a run of two or more occurs . Hence the chance that either one of the players will win two consecutive games in a set of six games is 4 , or more than one - half . When m is a large number ...### 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