The Elements of Mechanics

Cover The Elements of Mechanics
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25 log. 0. 686797 ' " ~ * . -... ?-' 9. 8368285 which divided by 2, gives .... 9. 9684142 whose number is 0. 931996 deduct 0. 500000 log. . . 0. 431996 9. 6354798 log. C j . V. (-*- . ="{-. Tf(^'. 'V-"'.. V 3. 8147507 log. 2819. 88 \. ' . ' . ' . . ^ : *' 3. 4502305 The distance de but en Wane is therefore nearly 2820 feet.
The foregoing tables are not applicable to the case of projectiles, fired at angles exceeding four or five degrees, in consequence of the error which arises from taking the
...horizontal distance as equal to the actual path, and from considering the tangent of the angle i ft/** of elevation to be equal to . Both of which assumptions are obviously far different from the truth, when the path acquires any sensible curvature. The approximations that have been made to the determination of the problem of the motion of shells, and other projectiles, fired at great angles of elevation, may be seen in Hutton's tracts. In actual service, tables are used, calculated for every particular species of ordnance; and hence, it is unnecessary to attempt giving any general rules.

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