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Llibres Llibres 1 - 10 de 17 sobre Find the straight line of quickest descent from a given point to a given straight....
" 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. "
The Mathematician - Pągina 76
1845
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Arithmetic, algebra, differential and integral calculus, by W. Rutherford ...

Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 1853
...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...
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An Elementary Treatise on Mechanics: Embracing the Theory of Statics and ...

Augustus William Smith - 1855 - 307 pągines
...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...
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AN ELEMENTARY TREATISE ON MECHANICS

AUGUSTUS W. SMITH - 1855
...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...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861
...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...
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An Elementary Treatise on Mechanics, Embracing the Theory of Statics and ...

Augustus William Smith - 1863 - 307 pągines
...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...
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THE EDINBURGH UNIVERSITY CALENDAR 1871-72

EDWARD RAVENSCROFT - 1871
...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....
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Dublin examination papers

1871
...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...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...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...
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Questions and Exercises on Stewart's Lessons in Elementary Physics

George Anthony Hill - 1880 - 188 pągines
...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...
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An Elementary Treatise on Dynamics: Containing Applications to ...

Benjamin Williamson - 1885 - 459 pągines
...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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