DE MINIMIS OSCILLATIONlBrS CORP. iix 



hiic peudiiU longitndine per pnorem regalam iniicnt-.i , 

 qiiae fit F; erit F. AG=r/. CG iitque/iz; -^jI— . Si igi- 

 tur inuentae fuerint ofcilhuiones corporis ex A fuspenli, 

 innotelcent (imul viiciUationes fuper piano EF. 



§. 2S. Sit machina vacillans bafin BAD habens pjgura 6. 

 omni materia dcftituta praeter vnicum pondnfculiuTi M 

 in axe CA fuum. Vacillante ergo hac machina Ibpcr 

 plano EF, erit londitudo penduli fimphcis ifochroni — 

 cTf. Vnius igitur vacillationis tempus erit vt ^jj. Atque 

 quo dato tempore, eo Icilicet quo pendulum fimplex / 

 ofcillatur , vacillationes abfoluantur , debet elfe AM^rr/. 

 AC-/.AM. Qiiare inuenitur AM — -|/-j- V (i/' 

 H-/.AC). 



§. 29. Conlideremus iam legmentum circulare BAD ^'S"™ T» 

 ex vnifjrmi conllans materia vacillare fupcr reda EF. 

 Ponaciir AC — a:, AHzzzl/., AP=r:.r, erit applicata 

 PMrz" V( 2^.v — jt-.r). lam in elem.ento M?pm, ca- 

 piatur particula [x exillente P[xrr.s; erit ilta particuk 

 z^t/xdZy quae duda in A|x quadratum dat dxdz{x^ 

 -hc;'), cuius integrale pofico .v conftante efl: .v'.s;rt'.vH- 

 ^^-^. Fi.it ^ — y ( 2.(7.v— .v.v) , erit fumma fadlorum 

 ex fingulis elementi m P particulis in quadrata diftantia- 

 rnm ab A ~ dx{ '-^ -|- '-^- ) V ( 2 ^.v— .v x)^ cuius duplum 

 -"^— (^-l-.v) V [^ax-xx) relixindebit toti elemento MMww. 

 Haius uifl-reatialis intcgrile denuo fumtum dat 3 a^Jdx l^ 



y ( 2ax - .v.v ) - ( ^^^ )(->'? X - X X ) '. Ponatur .v — b 

 prodibit j'M. AfU^ j-ro toto fegmento BAD::=^-r.BA 

 DB-iZ.BiP-iAIliiH^ §.30. 



