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

### From inside the book

Results 1-5 of 19

Page 1

... quadrature would probably be this . Instead of joining the tops of the ordinates by right lines assume some curve joining them . The general

... quadrature would probably be this . Instead of joining the tops of the ordinates by right lines assume some curve joining them . The general

**parabolic**curve y = a 。 + a1x + α2x2 + .... . . ɑnx ” , can be made to pass through n + 1 points. Page 2

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**parabola**, which can be made to pass through three points . Its axis being parallel to the ordinates , and assuming the axis of x tangent to the vertex , the equation of the**parabola**is y = 3 x2 Р Hence the area between the axis of x ... Page 5

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**parabola**, and the exact cubature when the solid is bounded by certain**parabolic**surfaces . There is a peculiarity in the approximation by Cotes ' method which is worthy of notice . It is that in passing from an odd number of ordinates ... Page 79

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**parabolic**generatrix we have a**parabola**whose parameter ( latus rec- tum ) is 4 ( R + p ) , * that of the generatrix being 4p . With the conjugate hyperbola for generatrix the section is imaginary , the equation of its projec- tion ... Page 99

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**parabola**as AEDC , the chord of contact LK is parallel to the tangent at the extremity of the diameter of the**parabola**which passes through C2 , there being of course no conjugate diameter in this case . 2 . 1 CALCULATION OF RADICALS ...### 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