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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. "
The Mathematician - Pàgina 76
1845
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An Elementary Treatise on Kinematics and Dynamics

James Gordon MacGregor - 1887 - 540 pàgines
...partidtrequires less time to fall from P to the curve along this line than along any other). (12) 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. Ans. From P, the given point,...
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An Elementary Treatise on Kinematics and Dynamics

James Gordon MacGregor - 1887 - 540 pàgines
...particle requires less time to fall from P to the curve along this line than .along any other). (12) 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. Ans. From P, the given point,...
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An Introduction to Dynamics: Including Kinematics, Kinetics, and Statics ...

Charles Vandeleur Burton - 1890 - 330 pàgines
...every such cord there is an equal and equally inclined cord through the highest point. 1 74. To find the straight line of quickest descent from a given point to a given straight line in the same vertical plane. — t = Let A be the given point, MN the given straight line...
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The Elementary Principles of Mechanics, Volum 1

Augustus Jay Du Bois - 1894 - 286 pàgines
...P, PQ is the line of swiftest descent to the curve, under constant vertical acceleration. (7) 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. Acceleration constant and vertical....
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An Elementary Course of Infinitesimal Calculus

Horace Lamb - 1897 - 644 pàgines
...magnet from the plane of the circle. Hence prove that the force is a maximum when x = io. 31. Find the straight line of quickest descent from a given point to a given vertical straight line, assuming that the time of sliding a distance s from rest at an inclination...
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Elementary Dynamics

William Martin Baker - 1899 - 316 pàgines
...circle drawn to the lowest point is constant. 46. Line of quickest descent. To draw a straight line from a given point to a given curve in the same vertical plane, so that a body may slide down it to the curve in the shortest possible time. Let A be the given point,...
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Theoretical Mechanics: An Elementary Treatise

William Woolsey Johnson - 1901 - 484 pàgines
...makes the same angles with the two normals at its extremities. 25. Show how to construct graphically the straight line of quickest descent from a given point to a given circle. 26. What is the angular distance between the highest point of a vertical circle and the point...
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Kinematics, statics, kinetics, statics of rigid bodies and of elastic solids

Augustus Jay Du Bois - 1902 - 682 pàgines
...P, PQ is the line of swiftest descent to the curve, under constant vertical acceleration. (7) 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. Acceleration constant and vertical....
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