SECT. 2.] TO POSITION IN SPACE. 99 



dJ= 2.41287 dJV 252.67 dr 0.75214 d/7 3.00531 dc; 



-0.11152 di-f- 0.04385 da, 

 db = 0.66572 d^+ 36.71 dr -f 0.23677 d77 + 0.61331 d&amp;lt;/&amp;gt; 



- 047335 d 4- 0.38090 da. 



In the developnient of these formulas we have supposed all the differentials d/, 

 db, dlY, dt, dIT, dq&amp;gt;, di, dQ to be expressed in parts of the radius, but, mani 

 festly, by reason of the homogeneity of all the parts, the same formulas will 

 answer, if all those differentials are expressed in seconds. 



