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" Art. 41, the body at the end of that given time would be found in the point Q ; having described, not the diagonal PQ, but some curve line POQ.* In PN take any point M, and let T, t represent the times of describing PN, PM respectively ; make PL equal... "
A Treatise on Mechanics: Intended as an Introduction to the Study of Natural ... - Page 55
by Bewick Bridge - 1814 - 228 pages
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An Introduction to Natural Philosophy: Designed as a Text Book ..., Volume 1

Denison Olmsted - Physics - 1838 - 376 pages
...through which a body would fall by gravity in the time (t), and complete the parallelogram PMOL; then O will be the place of the body at the end of the time ((); and in the same manner the other Fig. 19. points of the curve POQ might be determined. Now since PN is described with a uniform velocity,...
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An Introduction to Natural Philosophy: Designed as a Text Book, for the Use ...

Denison Olmsted - Physics - 1844 - 618 pages
...through which a body would fall by gravity in the time t, and complete the parallelogram PMOL; then O will be the place of the body at the end of the time t; and in the same manner the other points of the curve POQ might be determined. Now since PN is described...
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An Introduction to Natural Philosophy: Designed as a Text Book, for the Use ...

Denison Olmsted - Physics - 1844 - 610 pages
...through which a body would fall by gravity in the time t,and complete the parallelogram PMOL ; then O will be the place of the body at the end of the time t ; and in the same manner the other points of the curve POQ might be determined. Now since PN is described...
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An Introduction to Natural Philosophy: Designed as a Text Book, for the Use ...

Denison Olmsted - Philosophy - 1854 - 620 pages
...gravity through the space PV. Complete the parallelogram PNVQ ; then for the same reason as in Art. 41, the body at the end of that given time would be found...will be the place of the body at the end of the time t ; and in the same manner the other points of the curve POQ might be determined. Now since PN is described...
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Elements of the Differential and Integral Calculus

William Smyth - Calculus - 1859 - 244 pages
...it is evident, will be convex to the given plane, and will be in the plane of the axes AX, AY. Let M be the place of the body at the end of the time t ; let AP = x, PM = y, and a = the distance of the point of projection of the body from the given...
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The Elements of Mechanics, Including Hydrostatics: with Numerous Examples

Samuel Newth - Mechanics, Analytic - 1864 - 392 pages
...= the space due to the action of gravity in the time t. Then, by the second law of motion, P will A be the place of the body at the end of the time t. Let y and x be the co-ordinates of P, referred to AT and the vertical line through A as axes. Then...
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Mechanics for beginners

Isaac Todhunter - Mechanics - 1867 - 368 pages
...t, under the action of gravity. Complete the parallelogram A TPM. Then P, the corner opposite to A, will be the place of the body at the end of the time t. For, by the Second Law of Motion, gravity will communicate the same vertical velocity to the body...
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Mechanics for Beginners: With Numerous Examples

Isaac Todhunter - Mechanics - 1867 - 372 pages
...<, under the action of gravity. Complete the parallelogram ATPM. Then P, the corner opposite to A, will be the place of the body at the end of the time I. For, by the Second Law of Motion, gravity will communicate the same vertical velocity to the body...
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The Elements of Mechanics: Including Hydrostatics: with Numerous Examples

Samuel Newth - Mechanics, Analytic - 1869 - 390 pages
...-J-^2 .. the space duo to the action of gravity in the time t. Then, by the second law of motion, P will be the place of the body at the end of the time t. Let y and x be the co-ordinates of P, referred to AT and the vertical line through A as axes. Then...
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Natural Philosophy for Beginners: With Numerous Examples, Part 1

Isaac Todhunter - Philosophy - 1877 - 452 pages
...described parallel to AT and AM respectively will be the same as if each alone had been described. Thus P will be the place of the body at the end of the assigned time. 295. It is obvious that by the method just given wo may determine the position which...
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