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Elements of natural philosophy (Volume 1) (1850)

Bartlett, W. H. C. (William Holms Chambers), 1804-1893 · New York : Barnes · leaf 241

An illustration from Elements of natural philosophy (Volume 1), 1850, leaf 241
ach other. The orbit will be a para-bola, an ellipse, or hyperbola, according as the square of thebodys velocity is equal to, less, or greater than, twice theattractive force, multiplied by the distance from the sun. Fig. 134. § 179.—Let Cmm hethe sector described in theunit of time: take the… … mh r s,. MECHANICS OF SOLIDS. 237 Supposing the.unit of time small, in which case to willbe very near to to, to h will be sensibly equal to to h\m C to to C, and we have for the area of the sector Cm to, I Cm X mh = ^r2s/ = a; whence 2a s, = Fig. 135. from which we find that, the angular velocity…

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