g M CMTRO OSClLlATlOms 



los redos occurrit, hoc eft, fi curua in latus ofcil- 

 latur 5 tunc quidem elementa Bb adhuc pondufcuhi 

 P, in formula generali fignificabunt, fedeorumdi- 

 ftantiae iam erunt CB=zVimm-\' 2mx-{-xx-^j'j)j 

 adeoqiic/P.CP- nunc fignificabit /(;;/w-H2;«.r-Ha\v 

 •f-j7)^-f. Et M.CM minc iterum ^f(m-^x)ds, his- 



cevero in formula /— {^g fuffedis inuenitur /— 

 -f(rnm-tzmx^xx-^yy)ds £ ^^^5 ofcilhitionis eft in 00. 



/_H>nm-^!E£^r.H±2->Ji^ , fi axis ofcillationis eft in 



2O2O. 



14. Ofcilletur iam figura phina BAC in phi- 

 num , et nunc elementa BB/'/' ~ 2.j)7/.x' erunt pon- 

 dufcula P in formuha generali, eorum diftantiae ab 

 axe ofcilhuionis CD — m-^-x. Adeoque/P.CP*=r: 

 /(2 mmydx -\- ^mxjdx ~\- zxydx ) . Et M. CMz:i 



2 



f{:Lmydx-\-ixydx) adcoquc /(— -^ill ) zr: 



/; 2 m m- )-4mx-H:j;x)^d3: — S{mm^1m.x-^-xx'ydx _ 

 j{Zm-Jt-Zx]ydx j\m-\-x)ydx 



Ycl ]—-r^-z^=t^^ fi axis ofcillationis cft in 



2O2O. 



15. Agitetur iam figura BAB inlatus, hoc 

 cafu vero finguhi punda ordinatae BB diftantiamab 

 axe ofcillationis 00 A^ariant : v. gr. pundi E di- 

 ftantia eft CE, et alius pundi diftantia eft alia-, hanc 

 ob caufim primum/CE-xE^, in vna femiordinata 

 eft indaganda. Sit ergo DEir:;/ , et E^=^« , et e- 

 rit CE-y^Ee — mmdii-{-2mxdu-^xxdu-\-uudu , et 

 fumtis integralibus confiderando iam x aeque ac ;« 

 conftantem fohimque u variabilem , inuenieturfCE^, 

 Ee—m?ni{-\-2?nxu-\-xxU'{-^u'^ , ct conuertendo ii 



in 



