200 



PROCEEDINGS OF THE AMERICAN ACADEMY 



The other process combines Taylor and Armagh into one place ; 

 thus, — 



A theorem of Jacobi's tells us to multiply the result of any com- 

 bination of the two unknown quantities by the square of its deter- 

 minaut, and add all together, and divide by the sum of the squares of 

 the multipliers ; thus, — 



final mean— 0".1003. 



Using — C'.IO as before, and bringing up we get 



Pi. & Lai. 

 T. & Arm. 

 Q. . . 



43"4 

 43. 65 

 43.2 ■ 



14oi0'43. 48 as before. 



