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

### From inside the book

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**Sphere**the projected meridians and parallels cut each other at right angles throughout the entire area . The Polyconic Projection is that in which a central meridian and the equator are represented by straight lines , perpendicular to ... Page 29

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**sphere**, radius r , from a point whose distance from the center is a . " SOLUTION BY E. B. SEITZ , GREENVILLE , OHIO . There are two cases . The given point may be within the**sphere**, or without the**sphere**. 1. Let A be the given point ... Page 30

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**sphere**, the sum of the distances of all the points of the**sphere**from A is Sˆ_S * 2 # y [ ( a — x ) 2 + y2 ] 3⁄4dydæ = fñ ƒ ̃ ' [ ( a2 + r2 — 2ax ) } ( a - x ) 3 ] dx = 3x { { [ ( a + r ) 3— ( a — r ) ° ] — } { [ ( a + r ) * — ( a ... Page 61

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**sphere**, also horizontal force at B , the lower point of contact . F , act- ing in direction HN , is the only force communicated by the weight of the upper**sphere**to the lower , and therefore the lower**sphere**will tend to move to the ... Page 62

A Monthly Journal of Pure and Applied Mathematics. For common rotation of both

A Monthly Journal of Pure and Applied Mathematics. For common rotation of both

**spheres**about axis through centre of lower , P F zmR3 + m ' [ fr2 + ( R + r ) 3 ] } = dao , and for rotation of upper**sphere**about axis through H , - FR sin ...### 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