SCIENCE ABSOLUTE OF SPACE. 53 



(the theorem of Pythagoras for the Euclidean 

 system) ; probably thus also the author de- 

 duced it, and the others also follow in the 

 same manner. 



Obviously we have, the powers of e being ex- 

 pressed by series (like Tom. L, p. 168), 



2.3./ 3f 2.3.4.* 4 



/-4 



and so 



2.3.* 8 2.3.4.* 



1 3.4.* 4 '3.4.5.6.* 6 

 =2H i^, (designating by 



- the sum of all the terms after, ! ; and we 



i~ i>'~) 



have ?/=0, while /^=oc. For all the terms 

 which follow are divided by i*; the first 



term will be 2 ; and any ratio <-^; and 



though the ratio everywhere should remain 

 this, the sum would be ^Tom. I., p. 131), 



/v I -i A/ C 



which manifestly =?=0, while /= 

 And from 



