2d. The elevation which give equal ranges on a given ascent, are the complements of each other added to the ascent. 3d. The elevation which gives the greatest range on a descent, is equal to half the complement of the descent. If the range and inclination be given, the least charge that will reach the object, may be found as follows: multiply the tangent of the proper elevation into the proposed range, for the horizontal range whose charge is required. WILLIAMS’S _Gunnery_. _Table of Amplitudes._ +--------+-----------------+---------------+ |Degrees.| Ascents. | Descents. | | | Multipliers. | Multipliers | +--------+--------+--------+--------+------+ | |1st.cl. | 2d.cl. |1st.cl. |2d.cl.| | 1 | .983 | 1.02 | 1.02 | .983 | | 2 | .966 | 1.03 | 1.04 | .966 | | 3 | .949 | 1.06 | 1.05 | .950 | | 4 | .932 | 1.07 | 1.07 | .932 | | 5 | .916 | 1.09 | 1.09 | .916 | | 6 | .900 | 1.11 | 1.11 | .900 | | 7 | .884 | 1.13 | 1.13 | .884 | | 8 | .868 | 1.15 | 1.15 | .868 | | 9 | .852 | 1.18 | 1.17 | .853 | | 10 | .836 | 1.20 | 1.19 | .836 | | 11 | .821 | 1.22 | 1.22 | .821 | | 12 | .805 | 1.24 | 1.24 | .805 | | 13 | .789 | 1.27 | 1.27 | .789 | | 14 | .774 | 1.29 | 1.29 | .774 | | 15 | .758 | 1.32 | 1.31 | .763 | | 16 | .742 | 1.35 | 1.34 | .745 | | 17 | .726 | 1.38 | 1.37 | .730 | | 18 | .711 | 1.40 | 1.39 | .720 | | 19 | .693 | 1.45 | 1.42 | .704 | | 20 | .677 | 1.48 | 1.45 | .690 | | 21 | .660 | 1.52 | 1.48 | .675 | | 22 | .643 | 1.56 | 1.52 | .662 | | 23 | .625 | 1.60 | 1.55 | .645 | | 24 | .607 | 1.64 | 1.58 | .633 | | 25 | .589 | 1.70 | 1.62 | .617 | | 26 | .570 | 1.76 | 1.66 | .603 | | 27 | .550 | 1.82 | 1.69 | .592 | | 28 | .530 | 1.86 | 1.73 | .578 | | 29 | .510 | 1.96 | 1.78 | .562 | | 30 | .488 | 2.05 | 1.82 | .549 | | 31 | .466 | 2.14 | 1.87 | .534 | | 32 | .442 | 2.26 | 1.92 | .526 | | 33 | .418 | 2.41 | 1.97 | .508 | | 34 | .393 | 2.55 | 2.02 | .495 | | 35 | .366 | 2.73 | 2.08 | .488 | | 36 | .338 | 2.96 | 2.13 | .470 | | 37 | .309 | 3.24 | 2.20 | .455 | | 38 | .278 | 3.60 | 2.26 | .443 | | 39 | .245 | 4.09 | 2.33 | .430 | | 40 | .210 | 4.80 | 2.40 | .417 | | 41 | .173 | 5.78 | 2.48 | .404 | | 42 | .134 | 7.46 | 2.56 | .390 | | 43 | .092 | 10.90 | 2.64 | .380 | | 44 | .045 | 22.22 | 2.73 | .370 | | 45 | .000 |infinite| 2.83 | .360 |