A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page iii
... lower mathematical attainment , may be able to meet with a sufficient body of matter applicable to the condition of their knowledge . In carrying out this , my primary object , I have omitted no opportunity of introducing incidentally ...
... lower mathematical attainment , may be able to meet with a sufficient body of matter applicable to the condition of their knowledge . In carrying out this , my primary object , I have omitted no opportunity of introducing incidentally ...
Page 5
... lower portions may be respectively in the 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 ...
... lower portions may be respectively in the 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 ...
Page 6
... lower portion of the triangle will be seven times as great as that on the upper . 4. To find the pressure which a diver sustains when the centre of gravity of the surface of his body is 32 feet under water . " The surface of a middle ...
... lower portion of the triangle will be seven times as great as that on the upper . 4. To find the pressure which a diver sustains when the centre of gravity of the surface of his body is 32 feet under water . " The surface of a middle ...
Page 11
... lower faces . If P be the pressure on a higher and Q on a lower face , then Q = P ( 2√3 - 1 ) . 17. A symmetrical pyramid is immersed in fluid with the surface of which its vertex just coincides ; the axis of the pyramid is vertical ...
... lower faces . If P be the pressure on a higher and Q on a lower face , then Q = P ( 2√3 - 1 ) . 17. A symmetrical pyramid is immersed in fluid with the surface of which its vertex just coincides ; the axis of the pyramid is vertical ...
Page 12
... lower ordinate of the xth portion , the diameter of the semicircle being the higher ordinate of the first portion , then n X = ( n a , or the values of y1 , y2 , Y ,, .... will be respectively n - 29 3 n ( " = 1 ) a ( " -2 ) a ( 13 ) ...
... lower ordinate of the xth portion , the diameter of the semicircle being the higher ordinate of the first portion , then n X = ( n a , or the values of y1 , y2 , Y ,, .... will be respectively n - 29 3 n ( " = 1 ) a ( " -2 ) a ( 13 ) ...
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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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