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

### From inside the book

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**equation**of the parabola is y = 3 x2 Р Hence the area between the axis of x , the ordinate and the curve is - : the 3p arbitrary constant being zero . The area between the first and third ordi- nates , the axis of x and the curve is ( x ... Page 12

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**equation**( 1 ) approach equality as the value of r approximates that of R may be shown as follows : Multiply the**equation**by nr - 1 and we have N + ( n − 1 ) TM " = nRrn − 1 or NnRrn - 1 — nrn + gums . nR " + R Assume now r = R and ... Page 14

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**equation**of the form --- • · ( 4 ) y — c = ex . · We have evidently du ' y = d x ex e . x Substituting this value of e , and the value of c from ( 3 ) in ( 4 ) , we get ― du ' u = y da ( x — x ' ) . · Subtracting ( 2 ) from ( 1 ) ... Page 23

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**equations**are inconsistent . 2o . If V = 0 and the absolute terms also all vanish , the values of the variables as furnished by the method of § 8 assume the form 00. It is practicable however to determine the ratios of n - 1 of the ... Page 27

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**equation**of the locus of the middle point of the opposite side , in rectangular coordinates . " SOLUTION BY CHRISTINE LADD , UNION SPRINGS , N. Y. We have the following**equations**from which to determine the relation between 2 and if the ...### 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