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The Astronomical journal (1849)

Dudley Observatory, American Astronomical Society, American Institute of Physics · New York [etc.] American Institute of Physics [etc.] · leaf 25

An illustration from The Astronomical journal, 1849, leaf 25
ecessity in a state of unstable equilibrium with referenceeither to Saturn or to the other rings. THE CATENARY CURVE TREATED 11Y MEANS OF P E I R C E S CIRCULAR COORDINATES By THOMAS HILL. The equation of the catenary given in treatises on Mechan-ics may be written, s = a -.- ; in which s is the… … we get for the radius of curvature, q, q =. D, s ^z D, s = a sec r.(1.) Since q never changes sign, passes through the samevalues in the same order when r is negative, and is of the samevalue for the four places in which sec t is of the same numeri-cal value, it follows that the catenary is an oval…

Astronomy

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