 If the velocity of a carriage along a road is proportional to the cube of the cosine of the inclination of the road to the horizon, determine the path of quickest ascent from the bottom to the top of a hemispherical hill, and shew that it consists of...  Mathematical Questions and Solutions - Pàgina 271887Visualització completa - Sobre aquest llibre
 | William Henry Besant - 1885 - 376 pàgines
...varies as some power of the polar subtangent; and find the curves for the cases n = 1 and n = 0. 20. If the velocity of a carriage along a road is proportional...inclination' of the road to the horizon, determine the path of quickest ascent from the bottom to the top of a hemispherical hill, and shew that it consists... | |
 | Joseph Edwards - 1922 - 1050 pàgines
...the extremities of the curve. [MATH. TRIP., 1870.] 23. If the velocity of a carriage along a road be proportional to the cube of the cosine of the inclination of the road to the horizon, determine the path of quickest ascent from the bottom to the top of a hemispherical hill, and show that it consists... | |
 | James Clerk Maxwell - 1990 - 1068 pàgines
...The question itself was suggested by some of the road making problems of Dupin(5) and was as follows. If the velocity of a carriage along a road is proportional...inclination of the road to the horizon, determine the path of quickest ascent from the bottom to the top of a hemispherical hill, and shew that it consists... | |
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