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igh angle fire is considered. These functions, T, S, D, I, A, are shown numerically in the following extract from an abridged ballistic table, in which the velocity is taken as the argument and proceeds by an increment of 10 f/s; the column for p is the one determined by experiment, and the remaining columns follow by calculation in the manner explained above. The initial values of T, S, D, I, A must be accepted as belonging to the anterior portion of the table. In any region of velocity where it is possible to represent p with sufficient accuracy by an empirical formula composed of a single power of v, say v^m, the integration can be effected which replaces the summation in (10), (16), and (24); and from an analysis of the Krupp experiments Colonel Zabudski found the most appropriate index m in a region of velocity as given in the following table, and the corresponding value of gp, denoted by f(v) or v^m/k or its equivalent Cr, where r is the retardation. ABRIDGED BALLISTIC TABLE. -----+--------+-------+---------+-------+----------+-------+-------- v. | p. [Delta]T.| T. [Delta]S.| S. [Delta]D.| D. -----+--------+-------+---------+-------+----------+-------+-------- f/s | | | | | | | 1600 | 11.416 | .0271 | 27.5457 | 43.47 | 18587.00 | .0311 | 49.7729 1610 | 11.540 | .0268 | 27.5728 | 43.27 | 18630.47 | .0306 | 49.8040 1620 | 11.662 | .0265 | 27.5996 | 43.08 | 18673.74 | .0301 | 49.8346 1630 | 11.784 | .0262 | 27.6261 | 42.90 | 18716.82 | .0296 | 49.8647 | | | | | | | 1640 | 11.909 | .0260 | 27.6523 | 42.72 | 18759.72 | .0291 | 49.8943 1650 | 12.030 | .0257 | 27.6783 | 42.55 | 18802.44 | .0287 | 49.9234 1660 | 12.150 | .0255 | 27.7040 | 42.39 | 18844.99 | .0282 | 49.9521 1670 | 12.268 | .0252 | 27.7295 | 42.18 | 18887.38 | .0277 | 49.9803 | | | | | | | 1680 | 12.404 | .0249 | 27.7547 | 41.98 | 18929.56 | .0273 | 50.0080 1690 | 12.536 | .0247 | 27.7796 | 41.78 | 18971.54 | .0268 | 50.0353 1700 | 12.666 | .0244 | 27.8043 | 41.60 | 19013.32 | .0264 | 50.0621 1710 | 12.801 | .0242 | 27.8287 | 41.41 | 19054.92 | .0260 | 50.0885 | | | | | | | 1720 | 12.900 | .0239 | 27.8529 | 41.23 | 19096.33 | .0256 | 50.1145 1730 | 13.059 | .0237 | 27.8768 | 41.06 | 19137.56 | .0252 | 50.1401 1
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