ad m «o» ] 0 A ut 0 A ad OS. Erige perpendiculum GH,intervallo 0 G centroq*, 0 & defcribe circulum EFG, Sc iuper regula GH,fundo, progrediatur rota ceu GE F revolvendo circa axem iuum, interea pundo fuo Sc A defcribendo Trochoidem A L L cape Quo fado, G K in ratione ad rota perimetrum GEFG,quo corpus progrediendo ut eft tempus ah A defcripfit arcum A?,ad tempus
revolutions unius in Ellipfi, Erigatur perpendiculum K Lcurrens Trochoidi in L, & ada LP ipfi oc- K GEllipii in corporis loco quaefito parallela occurret Nam centro P. 0, intervallo 0yidefcribatur femicirculus arcui AQB, Sc A <2_occurrat E P produda in Q__,Arcui E junganturq; 0 Q._. FG occurrat 0 Qjn F, Scpendiculum 5 R. in eandem 0 2_demittatur per
Area A P S eft ut area A QS,rentia inter fedorem 0 Q A Sc id eft,ut diffe
triangulum 0 QS,- tia redangulorum t 0 Q x A Q Sc five ut different 4 Ò Qjc S R, hoc eft, ob datam > 0 Q_, ut differentia inter arcum A <2 Sc redam S R y adeoq; ( 6b aqualitatem rationum S R ad finum arcus A Q_, 0 S ad 0A, 0 A ad 0 G, AQjadGF, Sc divifim AQ j - SR fi n, arc. ad GF- A Q ) ut G.K differentia inter arcum G F Sccus A ¿L <9JE. D. finum arScho
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Scholium. conCfsterutedriuomne so bv edroif fpicruolxtiamteams ind epfrcarxibi eMndeci hhaannicca caudrhvaibmer ep. rafEtal-t lipfeos cujufvis A P B fit A B axis major, 0 centrum, S cus, 0 D umbilifemiaxis
minor, Sc A K tur dimidium lateris redi. Sece- AS in G, ut fit AG ad AS ut BO adBS; Sc quæratur longitudo L, quae fit ad ^G K ut eft AO quad, ad redangulum Bifecetur A S xO D . 0 G in C, centroqi C Sc intervallo C circulus G defcribatur femiGFO.
angulos quain
Deniq; capiatur angulus ea ratione ad tquuoarm rehdaobse,t (_l_( G C F tteummp,pfiut s ardceufmcr uqsu o dcoar
ipquæfitum
A-s
P,pe foenuis raidod ruenvoiulsu tiecmumpu Ad tiinEllipii.•
F Scverfus ad ufq*,AO N,demittatur ut fit EN normalis finus EEad radium CFjcentroq;ad N longitudine FE,intervallo mprEód,uute aatnugru defcriptus lei aidl e1m11s circulus fecabit completo PNam Ellipfin dimidio in corporis temporis loco Sc periodici,quaefito co qrupaums A N proximo. midio, redibit in Preperietur Apfide fumma femper
iSmPe,eft rationi GabCefFt ,Ellipfeos ab& Araptfiiod ad Apfidem iublutism, totius ar aetvioa imam,B, ad nperficmena Sc cuotm circulum tiunmaicentium oppleotrot eat.l terUob fedorum tie vmeproo rpisr odxi-A- totum.BSPScOGF, Nam peuandedmis