DE OSCILLATIONIBFS CORFORFM. n^ 



qualem theorema 4. indicat: niimerus quoque ofcilk- 

 tionum perfede refpondit theoremati quiiito: duo re- 

 liqui calus maiorem indurtriam requirunt: potui tamea 

 vtriusque generis ofcillationes (litis exade efficere, vt 

 ▼eritas theorematis quinti appareret, 



Theorema 6. 



GENERALE PRO TRIBVS CORFORIBVS. 



II. Fuerint mnc rurjus pondera corporum H,F,G 

 ^ualiacwique finmlquc dijlantias eorundem a pun&.o Jujpen- 

 Jionis rationsm habuerint quakmcunque : fU nempe pondus 

 eorpons H zr ;;/ , corporis F m M , corporisque G ~ (x ^ 

 tumque AHzr/, Hp — L et FG — X; dico ojcilktiones 

 mijormes futiiras ej]e Ji pofita BH— i,GF=i:.r Jiai 

 ^ ( MM/A-1-M|J^/X ) A\r -I- ( ;;; M /X -i- ?y/ ^ /L - w M L X 

 ~MM/X- MMLX-i-w jjL/X-M|UL/X-M[xLX);tf 

 -w^/X — ///M/X^x^^^M/XH-jjL/XJAr-wLX-M/A 

 — M LX — p. /X — jx L X -H ^^^ /L ^^////«IJL //LL Jtr. 

 fimulque Jumatur pro quauis radice 



«X_MXw,_MX_X_ 

 m. ml '" HL L ' 



Corollaria. 



11. L Ponatnr maflir corporis infimi /x = , di~ 

 uidaturque aequatio fundamentahs fuperioris paragraphi 

 per f;i(florem alterum ceu radicem inutilem \ fiidor igi- 

 tur prior erit— o, hincque iiabebitur M /a^a:H-(»//— 

 »iL~M/-ML).r-»2/j=:o, vel 



, ml— TO.^-^-ML-f-Mf^Vf^TfiMn-t-tm!-— TTil^M? — ML)* ) . 



A 2 MZ » 



Tom, VI, P No- 



