x66 DE OSCILLJTIONIBFS CORVOBFM 



vt f -l-f- ad f— ^: ponantur hae vires ad ifochronismum 

 obtinendum proportionales fpatiis defcribendis L B et EC, 



feu fiat (f-f-r)*(i-£)=i:(-'*''+i4-T)j ntque rc- 

 perietur fada redudtione 



•■^' 2ML 



Huic autem fi addatur MC feu i-j-y, habebitur 



^ raL_m!-f-ML-t-MZ-^-Vr,mMLL-|-(7nZ_|_ML-t-Ml — mL)'] i, -r 



C t — ^^-7ni X li L , 



plane vt habet in parte iiuius argumenti prima thcorc- 

 rna tertium Prop. 7. 



IIL Pofitis iisdem , erit longitudo pcnduh fimpHcis 

 ifochroni aequalis 



2mVl 



TOL-(-"i'-l-Mi-i-ML::f;V[4m>l L L-4-;7n;-|-ML-HM/ — inlr] 1 



cuius rci rationem intelliges cx eo , qiK)d fi pendulum 

 fimplex longitudinis AH fcu / confidcretur , fit vis ac- 

 ccleratrix in lioc pcndulo funplici ad \'im acceleratri- 

 ccm corporis H in pcndulo nollro compofito vt H/ad 

 H;/, idcll, vt /'adj— ^: funt autcm longitudines pcn- 

 dulorum ifochronorum in rcciproca rationc \irium ac- 

 celcratricium ; Erit igitur longiuuio penduli quaefiti ad 

 longitudincm AH Yt [ ad f — |l' ^'"^^ inucnitur longi- 

 tudo penduli ifochroni z:i^_„,^, ct pofito valore pro 

 X fupra inuento , crit eadem longitudo , vt didum cft, 

 aequalis 



mL-(-m:-)-M/-HML-j-.V[+mMLL-f-(ni'-+-?U.-HMl— "iL)'] 



Fisura 2. jv. Si filum AG fit tiibus oneratum corporibus in 



H,FetG, olcillationes flicientibus valde paruas et ifo- 



chro- 



