A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page 5
... ratio of m : n . Let h be the altitude of the proposed triangle , and h ' that of the triangle cut off by the dividing line . Let c be the length of the base of the proposed triangle ; that of the triangle cut off h ' h will be equal to ...
... ratio of m : n . Let h be the altitude of the proposed triangle , and h ' that of the triangle cut off by the dividing line . Let c be the length of the base of the proposed triangle ; that of the triangle cut off h ' h will be equal to ...
Page 6
... an annular strip of the bowl included between two consecutive horizontal planes , will be equal to gp . 2πr sin 0.rd0 . r cos 0 = πgрr3 sin 20d0 . Hence the required ratio will be equal to sin 20 6 NORMAL PRESSURE OF FLUIDS .
... an annular strip of the bowl included between two consecutive horizontal planes , will be equal to gp . 2πr sin 0.rd0 . r cos 0 = πgрr3 sin 20d0 . Hence the required ratio will be equal to sin 20 6 NORMAL PRESSURE OF FLUIDS .
Page 7
William Walton. Hence the required ratio will be equal to sin 20 d0 sin 20d0 = ( 1-1 ) ( 1 + 1 ) = 6. A plane surface , bounded by the arc of a parabola and the tangents at its extremities , is immersed in water , the point of ...
William Walton. Hence the required ratio will be equal to sin 20 d0 sin 20d0 = ( 1-1 ) ( 1 + 1 ) = 6. A plane surface , bounded by the arc of a parabola and the tangents at its extremities , is immersed in water , the point of ...
Page 11
... ratio of the pressure on the larger to the pressure on the smaller portion . The required ratio is equal to 9π + 8 3π 8 - 20. A quadrant of a circle ACB is divided into two sectors ACP , PCB , and is immersed in a fluid so that AC is ...
... ratio of the pressure on the larger to the pressure on the smaller portion . The required ratio is equal to 9π + 8 3π 8 - 20. A quadrant of a circle ACB is divided into two sectors ACP , PCB , and is immersed in a fluid so that AC is ...
Page 13
... ratio of the pressure on the area of the evolute to that on the area of the ellipse is equal to 3 8 e2 26. To find the whole pressure on the surface of a solid cone , including its circular base , when it is immersed in a fluid with its ...
... ratio of the pressure on the area of the evolute to that on the area of the ellipse is equal to 3 8 e2 26. To find the whole pressure on the surface of a solid cone , including its circular base , when it is immersed in a fluid with its ...
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Common terms and phrases
Albert Girard altitude angular velocity aperture axem axes axis vertical base Bernoulli body Bossut Bossut Traité Cambridge centre of gravity centre of pressure coinciding cone cos² cube Daniel Bernoulli denote the density denote the length depth determine distance dx dy Edition efflux elastic equal equation filled with fluid floating fluid displaced force free surface given hemisphere Hence humidum Hydrodynamique immersed vertically inclination incompressible fluid James Bernoulli lamina late Fellow latus rectum motion parabola parallel particles portion position of equilibrium position of rest problem quæ ratio required pressure resultant pressure right angles sesquialterum sin² small orifice solid cylinder specific gravity sphere supposed tangent Treatise triangle Trinity College unit of pressure University of Cambridge vertex vertical line vessel volume weight whole pressure
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