154- £>E MOTf OSCILLATORIO 



-— 2_! — ~ — £. -g 3r — j, (^hiod d crgo ccn- 



tro E radio EF ducatur circulus VFv, cius interfecti- 

 ones V et v , binos valores rcctae OV in praecedente 

 figura, exhibebit; fimul vero hinc longitudo pcnduli iim- 

 plicis ifochroni /, definitur. Scilicet fi corpus vel circa 

 V vel v de ftatu quictis deturbatur vtroque cafii ofcilla- 

 tiones regulares conficiet , ac priori caiii longitudo peii- 

 duli fimpticis ifochroni erit fzzOv, pofteriori, cafii 

 erit/zzOV. 



§. 39. Sit corpus virga redta AB cx materia vni- 

 formi fnfta , erit cius ccntrum grauitatis in punclo me- 

 dio G, ita vt longitudo virgae futura fit AB~ ib , 

 tum autcm erit hh ~ ' bb ; ideoque / — \ +- \b-\- V 

 {'iaa+$ab+*bb) etOV*m a 3 a+fb^fV (iaa+^ab+zbb). 

 Ex his manifdtum eft , li longitudo virgae AB fuerit 

 valdc cxigua rcfpectu longitudinis OA — <?, fbre vel 

 fz=a-\-b-+- b ; a ct OV =. ib-~ a , vcl in altcro 

 cafu f~\ \-b — — ct OVrrtf-f-M--'; priori crgo 

 cafu corpus circa O quafi corpus rigidum ofcillabitur , 

 pofteriori vero circa fiium ccntrum olcillationis , qnod 

 habct rcfpcchi axis O , quae adco ofcillationes celerrime 

 ablolucntur Sit autcm ABr;'OA, feu b ~ * a , 

 crit vcl / — 1 a et OV — \ a ; vcl f~ \ a ct OV 



Fife.p.— 2. a. Pnori igitur calii virga AB inter ofcillandum 

 eum fitum tenebit , quem figura indicat , rotabitur fcili- 

 cct circa punctum V exiftente OV zzl \ Oa \ eritque 

 pcnduli fimplicis ifochroni longitudo ~\ O? ~ z O a. 



Pig.io.Pofteriori cafu virga AB inter ofcillandum eum tenebit 

 iitum , quem figura 10 indicat , gyrabitur oiminim circa 



pun- 



