 | 1804 - 476 σελίδες
...infinitutn. 6. Find the sum of n terms of the series a, a + bt a + 2b, a + 3b, &c. 7. With what velocity must a body be projected from a given point, in a given direction, to hit a given mark? 8. Given the specific gravity of a fluid, and also of a solid in the form of a... | |
 | 1829 - 448 σελίδες
...will oblige me by giving it a place in the Journal. Problem. — Supposing that a particle of matter, projected from a given point, in a given direction, with a given velocity, is deflected from its rectilineal course into a curve line ; It is required to determine the equations... | |
 | 1821 - 464 σελίδες
...infinitum. 6. Find the sum of n terms of the series a, a + b, a + 2b, a+3b, &c. 7. With what velocity must a body be projected from a given point in a given direction, to hit a given mark? 8. Given the specific gravity of a fluid, and also of a solid in the form of a... | |
 | Thomas Leybourn - 1830 - 630 σελίδες
...in a given plane, the body is urged by a force tending to that point. (Newt. Book I. Prop. 2.) 16. If a body be projected from a given point in a given direction with a given velocity about a centre of force varying as the distance, shew that it will describe an ellipse having its centre... | |
 | Miles Bland - 1830 - 394 σελίδες
...reckoned from the asymptote;—draw the asymptote; and find the time of descent to the centre. 30. If a body be projected from a given point in a given direction with a velocity less than that in a circle at the same distance, the force varying inversely as the cube of... | |
 | John Martin Frederick Wright - 1831 - 282 σελίδες
...acting in parallel lines, by which a body may be made to describe a portion of a circle. 26. A body is projected from a given point, in a given direction, with a given velocity above a given plane : find the orbit described when it is repelled from the plane by a force varying... | |
 | Samuel Earnshaw - 1832 - 228 σελίδες
...; we have next to consider the path it would take if left to itself. A body is projected in vacuo, from a given point, in a given direction, with a given velocity, required its path. Let it be projected from A (Fig. 1 1) in direction AC, and describe the curve APB.... | |
 | Samuel Earnshaw - 1844 - 394 σελίδες
...u') .-. V = - ~, - + A • - ', J m + mm + m mu-m'u' ' , and v' = - ; - + X". m + mm + m 9. A body is projected from a given point in a given direction with a given velocity ; to find the time of flight and its range upon an inclined plane passing through the point of projection.... | |
 | Bengal council of educ - 1848 - 394 σελίδες
...of gravity of a pyramid on a triangular base. 8. Find the equation to the curve described by a body projected from a given point in a given direction with a given velocity ; find also the horizontal range and line of flight, and the focus and latus rectum of the parabola. Account... | |
 | Archibald Sandeman - 1850 - 222 σελίδες
...of describing an arc, the radii-vectors of whose extremities are r and /, is 33. A particle, being projected from a given point in a given direction with a given velocity, is acted on by a force tending to a fixed center, whose intensity at any point is proportional to the... | |
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If a body be projected from a given point in a given direction with a given velocity... 
