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

### From inside the book

Results 1-5 of 12

Page 26

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**velocity**v , and a body is let fall from it , which touches the ground in t seconds ; find the height of the balloon at the moment the body is let fall from it . " SOLUTION BY HENRY GUNDER , NORTH MANCHESTR , IND . In t seconds a body ... Page 67

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**velocity**projected on the plane xy , or xdy — ydx = H. dt Consequently dH dR dR = x · y . dt dy da But the foregoing values of x , y , z show that we have dx dy dz y , = x , dh dh = 0 ; dh dH dR dx and thus + dR dy dR dz dR dt dx dh dy ... Page 96

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**velocity**of the stream ( 13.2 feet per sec . ) to be 2.7+ feet . And because the pressure of a fluid column of that height would produce , in an equal sectional area of the stream , the given**velocity**, he contends that this pressure ... Page 163

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**velocity**v1 , and if the force of the impelling fluid to move the body be as mv + nv2 , where v is the**velocity**of the fluid relative to the body , what must be the**velocity**of the body in order that the work performed on the body by ... Page 186

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**velocity**of gravity as in problem I , —to find the intensity of the orbital and resisting forces , expressed in pounds weight , to permanently maintain the earth in a circular orbit . = Problem IV . - Assuming the**velocity**of gravity as ...### 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