^86 ANIMAL MECHANICS. 



Collecting together all the measurements of the wing of 

 the Albatross, we have 



b = 8.13 inches. (5 = 129 0 

 V = 2.67 „ j3' = 68° 2O = 47°- 



From these we readily obtain — 



A = {b - b') sin /3 sin j3' = 3-934 



B = b sin /3 cos j3' - ft' sin j3' cos j3 = 3.925 



R = \/ A 1 + i? 2 = 5.55 



a = tan = 45° 



, tan ± (a + 0) 



5-55 



T ^ 0.0746 



F= — ^- = 4 0.0138 

 5-55 J 



Z= - Y = - 0.0138. 



The centre of the conic (59) is found from equation (60), 



which is equivalent to 



1 (b + V) X - Z { b cot p' + b' cot 15) 

 h " " s X + Y cot j3 cot /3' - Z (cot j3 + cot j3')* 



We have, by the preceding values, 



(b + b') X = 10.80 x 0.2166 = +• 2.3393 



- Z (b cot j3' + b' cot j3) = 0.0138 x 1. 1 2 = + 0.0154 



Numerator, . . +2.3547 



X = + 0.2166 



Y cot ft cot ft> = 0.0138 x - 0.327 = - 0.0045 



- Z (cot )3 + cot j3') = 0.0138 x - o 406 = - 0.0056 

 Denominator, . . + 0.2065 



