Articoli correlati a The mechanical Euclid; containing the elements of mechanics...
The mechanical Euclid; containing the elements of mechanics and hydrostatics demonstrated after the manner of the elements of geometry and including ... requisite for the degree of B.A. To which ar - Brossura
Sinossi
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1837 Excerpt: ...mercury) is inverted with its open end in a basin. In any place the fluid stands at a certain height (if the tube be long enough), leaving a vacuum above. Since the air has weight, it presses upon the surface CD of the mercury in the basin, and this pressure is resisted by the pressure of the column of mercury PM, arising from its weight. The mercury in the tube is sustained by the pressure of the mercury in the basin CD, which pressure again is sustained by the pressure of the atmosphere on the surface of the mer-jgi i jp cury in the basin. /D Prop. XXVIII. In the common barometer, the pressure of the atmosphere is measured by the height of the column of mercury above the surface of the mercury in the basin. Let AM be the tube, A its closed end, CD the basin and MP the height at which the fluid stands. The upper parts of the atmosphere are less dense than the lower; but so long as the whole is in equilibrium, this condition does not effect the laws of fluid pressure; and Propositions 1, 2, 3, 4, 5, 6, of this Book will be still true. Take, on the surface of the basin, NO equal to NM, the section of the tube; and suppose a tube HN, with vertical sides, standing on the base NO, to be continued upwards to the limits of the atmosphere. By Axiom 2, if all the rest of the atmosphere became rigid the pressure is not altered; and hence by Prop. 6, the pressure upon NO is equal to the weight of the column HN. But on this supposition, the pressures on MN, NO are equal, by Prop. 10. And the pressure on MN is equal to the weight of the vertical column of mercury MP. Therefore the weight of the column of mercury is equal to the weight of the column of atmosphere on the same base. Therefore the weight of the column of atmosphere is measured by the weight of the column o...
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