 ... horizontal: if 2a be the vertical angle of the cone, and /3 the angle between the plane base and the shortest generating line, shew that cot /3 = cot 4a - } cosec 4a.  A Treatise on Hydrostatics - Page 202by Sir George Greenhill - 1894 - 536 pagesFull view - About this book
 | William Henry Besant - 1867 - 324 pages
...its axis before returning, shew that the density of the fluid: that of the paraboloid :: 48 : 7. 23. A right circular cone has a plane base in the form of an ellipse; the cone floats on a fluid with its longest generating line horizontal : if 2<x be the vertical angle of the cone,... | |
 | S. Parkinson - 1874 - 420 pages
...through the centre of the circle circumscribing the polygon, and find the magnitude of the resultant. 49. A right circular cone has a plane base in the form of an ellipse, and when suspended from the point in which the shortest generating line meets the base rests with its... | |
 | Stephen Parkinson - 1881 - 440 pages
...ellipse, and when suspended from the point in which the shortest generating line meets the base rests with its longest generating line horizontal : if 2a be the vertical angle of the cone and ft the angle between the plane base and shortest generating line, prove that 4 cot /3 = cot a. (3 sec... | |
 | William Henry Besant - 1883 - 248 pages
...liquid with its centre in the surface, the inclination of the lid to the vertical will be 11° 15'. 18. A right circular cone has a plane base in the form...generating line horizontal; if 2a be the vertical angle, and /3 the angle between the plane base and the shortest generating line, shew that cot 8 = cot 4a... | |
 | William Henry Besant - 1891 - 332 pages
...liquid with its centre in the surface, the inclination of the lid to the vertical will be 11° 15'. 16. A right circular cone has a plane base in the form...floats with its longest generating line horizontal ; if 2<x be the vertical angle, and 0 the angle between the plane base and the shortest generating line,... | |
 | John Greaves - 1894 - 224 pages
...has a plane base in the form of an ellipse : the cone floats on a fluid with its longest generator horizontal: if 2a be the vertical angle of the cone,...between the plane base and the shortest generating line, shew that cot/3 = cot4a-£cosec4a. [MT, 1866.] 14. In HMS Achilles, a ship of 9000 tons displacement,... | |
 | John Greaves - 1894 - 240 pages
...the vertex. Shew that the two halves will remain in contact if tan2 a < h'/(h - K). [MT, 1886.] 13. A right circular cone has a plane base in the form of an ellipse : the cone floats on a fluid with its longest generator horizontal: if 2a be the vertical angle of the cone, and /3 the... | |
 | University of Calcutta - 1914 - 822 pages
...4. Obtain the conditions of equilibrium of a body floating in a liquid ; freely or under constrant. A right circular cone has a plane base in the form...generating line horizontal ; if 2a be the vertical angle and я the angle between the plane base and the shortest generating line, show that sin 8 б сов... | |
 | John Greaves - 2019 - 224 pages
...the vertex. Shew that the two halves will remain in contact if tan2 a < h'/(h - h1}. [MT, 1886.] 13. A right circular cone has a plane base in the form of an ellipse : the cone floats on a fluid with its longest generator horizontal: if 2a be the vertical angle of the cone, and /3 the... | |
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