122 Mb WALLACE, ON GEOMETRICAL THEOREMS, AND FORMULA, 



Here a', h', c' are the sides, and A', B', C the angles of the triangle 

 (fig. 5. No. 2.) Avhich is conjugate to ABC; as a, one of the sides of 

 the conjugate triangle, may be any number, it may be considered as analo- 

 gous to radius in Trigonometry, and its logarithm might be assumed = 10, 

 or any other convenient number, by which negative or large indices 

 may be avoided; it is here assvimed to be 5. The lines to be deter- 

 mined are AD = x, BD = y, CD =- ^. 



21. We shall begin with the fbrmulte 



a b' 

 ^ a b 



a c 

 a' c 



The calculation may stand as follows: 



V 

 b 

 c' 

 c 





5400892 



26-10213 

 8011105 



b c 



cos a (negative) 



2 



-2f-'.-cosa= 73-64533 

 b c 



C-)" 



= 153-75638 



X = 8064-6 



(Art. 15). 



0-8662328 

 0-7083380 

 1-7324656 

 1-4166760 



1-5745708 



9-9915445 

 0-3010300 



1-8671453 



2-1868332 



10-0000000 



7-8131668 

 3-9065834 



