INAEQVALIT. MOTVS CORP. COELEST. 193 



qnlbtis ad quoduis tempus t valores y et q defi- 

 niuntur , hasque aequationes ita comparatas eflfe 

 vidimus : 



2dydq-\-yddq-\-Mdt 2 zzzo et ddy-ydq^Ndt^zzzQ 



quas obferuo ex his fbrmis efle natas : 



</</.^cof.?-r-^ 2 (Ncof?-Mfin.<7):^:o 



dd.y fin. q -±-dt 2 (N fin. q 4- M cof. ?) — o. 



Iam pro motu puncti O ftatuamus diftantiam AO~m 

 et angulum yAOhkj pro dato fcilicet tempore 

 /, atque vt motum corporis C ad hoc pundtum re- 

 feramus , vocemus diftantiam OC=:s et angulum 

 vOC~«;. Cum igitur fit ycoi.qzz.mcoC.n-\-zcotw 

 et yfin.^ — mCm.n-\-zCm.w^ his valoribus ibi iubfti- 

 tutis habebimus : has duas aequationes. 



1°. \-(ddm-mdn 2 )coC.n-(2dmdn-\-mddn)Cm.n+dt 2 (NcoC.q—M{m.q)~o 

 +(ddz—zdw 1 )co£w- (2dzdw-\-zddw)Cm,w 



I\ .-\-(ddm-mdn 2 )Cm.n+(2dmdn+mddn)coC.n+dt 2 (NCm.q+McoCq)~Q 

 +(ddz - zdw 2 )Cm.w+( 2dzdw+zddw)coCw 



vnde combinatio 1. coC.w-\-ll.fm.w praebet 



ddz-zdw 2 +{ddm -mdn 2 )coC.(w-n)+(2dmdn+mddn){m.(w-n) 



-+dt 2 (NcoC(w-^q)-\-MCm.(w-q))zz:o 



haec vero combinatio II. cof.w;— I. fin.w dat : 



zdzdw-+zddw-{ddm-mdn 2 )fin (w— n)-+-{ 2 dmdn-+ mddn)zoC,(w—ri) 

 +df\Mcot K w- q)-Nfin.(w-q))zzzo 



Tom.XIII.Nou.Comm, Bb ficque 



