 | Royal Military Academy, Woolwich - Mathematics - 1853 - 476 pages
...rind ii so that the motion communicated by A to C through B ma; be a maximum. Ang fi = (AC)* 29. Find the straight line of quickest descent from a given point to a piven circle in the same vertical plane. TANGENTS TO CURVES. 50. Let APB be a curve referred to rectangular... | |
 | Augustus William Smith - Mechanics, Analytic - 1855 - 368 pages
...down PB, which is therefore the line of quickest descent to the circumference of C. 281. PROP. To find the straight line of quickest descent from a given point to a given inclined plane. Let A be the given point, AG a vertical line passing through this point, and AB a perpendicular... | |
 | Augustus William Smith - Mechanics, Analytic - 1855 - 340 pages
...down PB, which is therefore the line of quickest descent to the circumference of C. 281. PROP. To find the straight line of quickest descent from a given point to a given inclined plane. Let A be the given point, AG a vertical line passing through this point, and AB a perpendicular... | |
 | Woolwich roy. military acad - 1861 - 572 pages
...gravity, and starts with a given velocity ; find the time of its descent through a given space. Find the straight line of quickest descent from a given point to a given fixed line, the point and line being in the same vertical plane. 8. Find the range of a projectile... | |
 | Augustus William Smith - Mechanics, Analytic - 1863 - 340 pages
...down PB, which is therefore the line of quickest descent to the circumference of C. 281. PROP. To find the straight line of quickest descent from a given point to a given inclined plane. Let A be the given point, AG a vertical line passing through this point, and AB a perpendicular... | |
 | Edinburgh univ - 1871 - 392 pages
...through all chords of a vertical circle drawn from the highest or lowest point is the same. Hence find the straight line of quickest descent from a given point to a given straight line. 8. Investigate, generally, the equations of the Brachistochrone for any set of forces.... | |
 | Dublin city, univ - 1871 - 366 pages
...account for the phenomenon of the Harvut Moon f MECHANICS. PROFESSOR 1. Show how to find the right line of quickest descent from a given point to a given curve, both being in the same vertical plane ; and show that this line makes equal angles with the normal... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...positions is their relative velocity greatest and least respectively, and what values has it then ? 3. Find the straight line of quickest descent from a given point to a given straight line. 4. A body is projected up an inclined plane, whose length is ten times the height of... | |
 | George Anthony Hill - Physics - 1880 - 204 pages
...vertical circle, drawn either from the highest or the lowest point of the circle, is constant. 108. Find the straight line of quickest descent from a given point to a given straight line. 109. If a be the base of an inclined plane, find the height in order that the time of... | |
 | Benjamin Williamson, Francis Alexander Tarleton - Dynamics - 1885 - 488 pages
...other, and parallel to the axes of the curve. 17. Show immediately, from equation (18), that the right line of quickest descent from a given point to a given curve makes equal angles with the normal at its extremity and the vertical ; and verify the result geometrically.... | |
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Find the straight line of quickest descent from a given point to a given straight line, the point and the line being in the same vertical plane. 
