= (ipl) = 



•itqiic cx his bliifs fbliitionibus fpccialibiis folutioncm gener.i- 

 leni er complctani formarc licct. F,x natura enim acquationum 

 confVat, ho5^ duos Tnlorc< coniungi pofTc , ita vt folutio com- 

 plera bis dnabus conditionibus complcdatur : 



<;'— 3lann.(X/-|-^'?)-H2l'a'fin.(X"M-oO 



quac ccrtc erit complcta, quia quatuor inuoluit quantitates con- 

 Ihiiitcs arbitrarias a, a\ ^. ¥ quot icilicct cx iterata intcgia- 

 tionc biiiarum acquationum ditTercntio-diirercntialium oriri po- 

 tuerant. Pro motu deniquc angulorum ^ et -^ notcntur celc- 

 ritates angulares, quac funt 



|-< — ?UXcof.(X;-h5)-f-?l'a'X^cof. (X"r-4-50; 

 j^=:«&aXcoi'.(X;-+-5)-|-S'a^X'cof.(X'f-i-aO- 



§. 9. Ex modo diciis apparet , motum qucmcunquc 

 vtique quali mixtum ex binis limplicibus fpeclari , talem- 

 <jue morum compo/itum maxiir.c idco irrcgularem efle poire: 

 at bini illi motus fimplices admodum rcgulares erunt. Cum 

 enim fit ^ : vi =z ?I : 23 — ?r : 33 1 patet clongationcs inter fe 

 tenere rationem conitanrem. Tum vero ii loco t icribatur 

 / -4- ^r^ , vcl etiam t -{-'-^ ^ dcnorantc z -r intcgram periphcriam, 

 feu angulum 3<5o% ob fin. ( X / -f- - tt H- d) ~ fin. (X / -h ) 

 valorcs angulorum <; cr -ri prorfus iidcm manebunt. Vnde con- 

 cluditur,. pendulum polt tcmpus *." in cundem fitum peruenirc, 



quem tcmpore t tenuerat. idcoque interea duas peregiiTe olcil- 

 btioncs, ita vt tcmpus vnius oicillationis fit zzz — — ir y^ ~ x 

 in miniitis fecundis exprcffum. Id ciam de altcro gcnere 

 ofc.Ilationum iimplicium tcncnduin ell, quarum vnac]uaei]ue ab- 

 foluitur temporc "^ izi t 1 "^- minutorum ictiindorum. 



Detcr- 



