No. 3.1 MINOR PI^NETS— LEUSCHNER, GLANCY, LEVY. 101 



From the first two equations we compute 



Let 



'U'3 = [lh] COS (l> + [zj sin 4>. 



Then from the second and the third equations 



■"3 = I </>r' I B cos <I>+Csm4i- (03 - 11^)^^ \dd 



.duy] 



~de. 



By inspection of w, the function [7/3] can be written, and r^ln^ added to [x^ — Ti[y^ gives [a;,]. 

 Finally, 



[ ^3] = fe] + M cos ^ + [Sj] sin 4> 

 and 



[(1-€C0S£)F3] 



is readily computed from TF,, which is tabiJated in Table XXIT^II?*. 



But this function contains [(1 — e cos e) W^"], already included in Table XX\T^ri. By Z 69 



[(1 -e cos t) 17,"]= — ^[(l-ecosO r[(l-e cos ^)^'-[(l -e cos O^'jjtZe] 



Subtracting Table XXVUIc from [(1 — « cos e) W^ we have 



[(l-ecos£) (iF,-F,")] 

 which is tabulated in Table XXIX, 



