But according to the definition of the functions T, S, I and D of the ballistic table, employed for direct fire, with u written for v,
| (65) | ∫ | U u | du | = | ∫ | du | = T(U) - T(u), |
| f(u) | gp |
| (66) | ∫ | u du | = S(U) - S(u), |
| f(u) |
| (67) | ∫ | g du | = I(U) - I(u); |
| u f(u) |
and therefore
(68) t = C[T(U) - T(u)],
(69) x = C cos η [S(U) - S(u)],
(70) y = C sin η [S(U) - S(u)],
(71) φ - θ = C cos η [I(U) - I(u)],
(72) tan φ - tan θ = C sec η [I(U) - I(u)],