18* DE MOTV CORPORIS 



ex qua biuas iitteras H et I definiri oportet, ita yt 

 altera maneat indeterminata , atque aequatio alfumta 

 vna littera abundet prae differentiali , quod eft cri- 

 terium aequationis integralis completac. 



53. Qiio haec aequatio faciiius rcfoluatur, r*- 

 tio inter binas littcras H et I nollro arbitrio relin- 

 quatur , fitque I~«H vnde obtinemus : 



lad^-^ben , bb — ddtin , add — bbe c 



•^ b — dn i^ a-enn ~\ a-tnn •HH 



ficque iittera H definitur per firaplicem extradio- 

 rem radicis quadratae ^ qua inuenta erit Ir:r;2Hj et 

 reliquae litterae : 



jr a—enn ^ ^ n{b — dn),, ad — hen , 



l^ b — dn- "■•) ^ i^-T-a-fnn "-ra-efin 'H 



R Ji H H — a -r- H H —e 



— j^ et n, — jj . 



54.. Pro cafu ergo oblato , fi loco litterarum 

 a, b, c\ d^ e valores debiti fubftituantur , quantita- 

 tem H €x hac aequatione definiri oportet : 



— wC— »/«(C-2D) \mKk[\-nr^ 



ImmkAY) i 



fcu - 1 -i- 



C(i-/2;/)-h2DK« HH 

 niDli-n) ImAAj-i-m) _ ImmAAT) i 

 i-i-n ~~Q{i-}m)-\-2\)nn~~ C|^i-;i«)+2D««'HH 



Tnde colligitur : 



. /, /C, ^ .wD(i-n) mAAii-nn). 

 Hz:«A:y(ii(^(i-wO+2««)(--~'-i) ^ ') 



blDcqne 



