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

### From inside the book

Results 1-5 of 68

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**determining**the solid content y is the surface of the section made by a plane perpendicular to the axis of x . ( 3 ) . The question of quadrature like that of interpolation is indeter- minate and admits of an indefinite number of ... Page 8

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**determine**the values of x so that the polynomial which expresses the value of y may rise to the 2nth degree and the error of quadrature be zero at the same time . We have y = f ( x ) , and let 4 ( x ) = ( x - a ) ( x — a1 ) ( x — ɑ2 ) ... Page 10

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**determine**the barometric or thermometric curve for any place , and takes the time the sun is above the horizon for the interval of observation , and decides to make three observa- tions a day , for which n = 2 , he will observe his ... Page 16

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**determined**by three pairs of corresponding points , that is , to the points A , 0 , ∞ on line AN correspond the points o , M , A on line AM . Therefore the two pen- cils are P ( A , 0 , ∞ ) and P ( ∞ , M , A ) . Construct now the two ... Page 17

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**determined**by the following rule . The Diagonal of the Determinant , viz . , the combination got by reading from the left - hand upper corner to the right - hand lower corner , is affected with the sign plus : and then the sign plus or ...### 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