adeft cxcentricitas. Statnamiis igitur cxcentricitatem cfTe 

 rr f , et cum ea tanquam fatis exigna fpecfletur, facile in- 

 telligitur, ambas literas x et j per huiusmodi feries con- 

 vergentes exprimi pofTc: 



x = e?-^ee(l-^e'K-{-e'S-\-e'T etc. 

 yz=iep-\-eeq-\-e^r-\-e*s-i-e^t-{-e^t( etc. 



ex quibus ftatim colligitur 



dx — edP-i-eedCl+e^t^R-^-e^dS-^-e^ciT-^-e^dlJ-^-etc. 

 dy— edp + eedq + e^ dr + e'ds -\- e' d t + e^du-\- etc. 

 ddx-edd?-\-ee(id(^-^e'ddK-\-c^ddS-\-e'ddT-\-e\idV-\-cic. 

 ddy-eddp-\-eeddq-\-e'ddr-\-e'dds-\-e'ddt-\-e^ddu-\- etc. 



tum vero pro membris compofitis habcbimus has formulas 

 vsque ad poteftatem fextam ipfius e continuatas: 



x X •=. e e? V -\- 2 e' ? <:i-\- z e' ? K -\- 2 e' V S -\- 2 e' ? T 



+ ^ R R 



xy — eepY-^-e^p^l + e^pK-i-e^pS-^-e^pT 

 -^- e' q V -\- c' q il-^ e' q K -\- e' q S 

 -\- e* r ? -\- e 'r (^-\- e' r K 

 -\-e' s? -^e" sQ_ 

 -^-s' t? 



y y ■-\'eepp-{-2e'pq-\-2e*pr-\-2e'ps-\-2e^pt 



H- f * q q -\- 2 e' q r -\- 2 e" q s 



+ e' rr 

 X' — e' ?' + 3 e* ? ? (1+ 5 e' ? ? K -\- 3 e' ? ? S 



+ 3f=PQQ-f ^f^PQR 

 + ^^Q^ 

 Nn a xxy 



