The Analyst: A Monthly Journal of Pure and Applied Mathematics, Volumes 3-4Pierson & Blair, 1876 |
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Results 1-5 of 12
Page 26
... 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 ...
... 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
... 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 ...
... 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
... 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 ...
... 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
... 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 ...
... 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
... 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 ...
... 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 ...
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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