DE MOTV PLANETARVM. 35 S 



Tbi notafle iuuabit , fi tempus t per motum ano- 

 maliae mediae Solis exprimatur , et diftantia media 

 terrae a Sole vnitate dcfignetur , tum fbrc S zi: i. 



3. Ad tempus propofitum exhibeat refta S B 

 longitudinem mediam Planetae , ac ponatur angulus 

 ASB— p, qui quum fit tempori proportionalis , 

 ftatuatur dp — mdt, dudia ex Y ad hanc dircftio- 

 nem S B normali Y x vocentur nouae coordinatae 

 SxzzX.Y xznY QtYz-Z 



eritque itidem 



v-yirXX-hYY-f-ZZ, 

 tum vero erit 



X— jfcof.p+jfin.p; et Yzrycofp— Arfin.p et 2=:« 

 ftinc erit differentiando 

 dX—dxco^,p,^dvC\n.p-\-mdt{yco(p--x^iVi.p)zzdxcQ^p 



■\-dj{xa.p-\-mYdt 

 ct dY—dycol.p — dxC\n.p—mXdt, 



ita vt fit 



dxcoi.p-\-dyC\n.p-dX~mYdt ; djcoCp-dx^n.pzdY+mXdS 



quae formac denuo difFerentiatae praebent 

 ddxcoC.p+ddy C\r\.p-^mdt(dY-\-m X dt)—ddK -mdYds 

 ddycolp^ddx fin.p -mdtidX-mYdt^rzzddY-^mdXdt. 



4. Quum nunc ex fupcrioribus formulis pofi- 

 to S zr I , fit 



ddx—-'^ ct ddy—-^^^ 



fi hi valorcs ibi fnbftiruantur ob 

 *'+/ = XX4- Y Y 



Y / * habt- 



