(70 



of Least Pressure to the Theory of Resistances, 99 



^ + P B ' K "- B * KI " + *£ = 

 ax ft. JL 



« + p B£- a K- + i<»*. 



Eliminating A between these equations 



„» * F __ ? / dP , p S B,( M ''K''+«'Ky.K'»(B 9 tt"+B s »') ? (jl 

 dx dy \ K ^ j 



»,^Z_^^P p t -Bg(a"K"'4VK'0+K"(BX"+B 3M ' ? _^ 

 * dx dz £ K ) 



Now 45- - — 4? = — 



dP_ rfPrftf dP rf|/ 



dz " </# c?z d^ * dz 



cTP w^ rfP _ 2^ rfP 



*/ z " %i " dx u" ' dy' 

 Whence, substituting in the second of the above equations (7.)i 

 dividing by — Tn and adding to the first equation, we obtain an 

 equation of the form 



1 ^ P XT ~ 



where V is a known function of xy z. Eliminating z from 

 this equation by means of the known relation 



u = 

 and integrating, we obtain 



log g P + S = Y 



Where S represents the integraiyVd<r taken with respect to 

 the variable x, and Y is an arbitrary function of y. 

 To determine the form of this function, we have 



P dx + V - °' P dy + V - dy' 

 representing the value of -=— by V. 



Also eliminating ^ equations (7.) assume the form 



02 



