13 



From [^1], f Q(x)dx = 0. Hence, writing 







Q(x) = {6q + 6^x + 6^x^){x'^ - 2x^ + x^) 

 and integrating, we obtain 



14<5 +16 + k6 = 



1 2 



[35] 



Solving Equations [33], [3^], and [35] simultaneously for 6^, d^, and 6^ gives 



3(7ni^ - 8m + 2) ^^gj 



° Um^d - m)3(7m2 - Tm + 2) 

 21m^ - l4m^ - i+m + 2 



\ = 



2ra='(l - m)^(7m^ - Jm + 2) 



[37] 



tf_ = 



7(5ni^ - 5m + 1) 



i+m^'d - m)3(7m2 - 7m + 2) 



[38] 



The results of the present section will now be summarized. It has been shown that a 

 body of revolution whose nose and tail radii, position of maximum section and prismatic coef- 

 ficient are prescribed may be represented by a polynomial of the sixth degree in the form 



where 



y^ = 2r„R„(x) + 2rjR^{x) + CpP(x) + Q(x) 



R„(x) = x(x - l)^(x - mf(a^ + a^x) 

 Ri(x) = x\x - l)(x - mf(ff^ + p^x) 



P(x) = xV - l)^(x - m)^ y 

 Q(x) = x2(x - l)Hio + V + *2^^) 



[14] 



[39] 



