 | Olinthus Gregory - 1815 - 604 pages
...even in a circular arc: for an arc of a circle which does not exceed 60 degrees is a curve of speedier descent than any other curve which can be drawn within the same arc; and the arc of 90 degrees is a curve of speedier descent than any other curve which can be drawn without... | |
 | Mechanical problems - 1828 - 204 pages
...of quicker descent than any other curve which can be drawn within the same arc; and the arc of 90° is a curve of quicker descent than any other curve which can be drawn without the same arc. 21. In what curve must a body be constrained to move upon the surface of an upright... | |
 | Thomas Leybourn - 1830 - 630 pages
...resistance of which varies as the velocity, and acted upon by gravity. 24. Prove that an arc of a circle which does not exceed 60*. is a curve of quicker descent...curve which can be drawn within the same arc : and the arc of 90°. is a curve of quicker descent than any other curve which can be drawn without the... | |
 | Perry Fairfax Nursey - 1834 - 478 pages
...by Venturi, who has also determined that an arc of a circle, not exceeding 60°, effects a speedier descent than any other curve which can be drawn within the same ; and that the arc of 90° is a curve of speedier descent than any which can be drawn without the same.... | |
 | 1834 - 476 pages
...by Venturi, who has also determined that an arc of a circle, not exceeding 60°, effects a speedier descent than any other curve which can be drawn within the same ; and that the arc of 90° is a curve of speedier descent than any which can be drawn without the same.... | |
 | 1836 - 366 pages
...quicker descent than any other curve which can be drawn within the same arc : and that the arc of 90° is a curve of quicker descent than any other curve which can be drawn without the same arc. 101. Find the time of a small oscillation of an oblique-angled 1826 parallelogram... | |
 | Isaac Todhunter - 1871 - 300 pages
...quicker descent than any other curve which can be drawn within the same arc; and that the arc of 90° is a curve of quicker descent than any other curve which can be drawn without the same arc. BRACHISTOCHRONE UNDER THE ACTION OF GRAVITY. 139 It would be interesting to know... | |
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Prove that an arc of a circle from the lowest point which does not exceed 60° is a curve of quicker descent than any other curve which can be drawn within the same arc ; and... 