CORP. FLEXVR. ELAST. IVNCTOR. 29? 



L/—-57T-- Mwn — J N«— -Tp- 



t . Lddy ». Kddy NT Hddy" 



LX^-77^^ MfJ.zr-jTr-; Nv— -^f- ; 



Quoniam igitur corpus a nullis viribus extrinfecus 

 follicitari aflumitur , primo nancifcimur has duas 

 nequationes 



i°. Lddx-\-Mddx'-t-Nddx"=o; feu L^ + M*' 



-\-Nx"—At-{-^ 



2 . Lddy-\-Mddy y -\-Nddy // zz.o; feu Lj-f-M/ 



+ N/ / =z Bj-f-23. 



Porro neceffe eft vt virium requifitarum omnium 

 momenta refp:c~tu axis cuiusque , ideoque etiam pro 

 axe I euanefcant vbi T~o et V — o ; vnde fequi- 

 tur haec tertia aequatio : 



3°. Llldd\-\-Mmmdd\k~\-Nnnddv 



-\~L(x ddy -y ddx) -+- M (x / ddj'-j'ddx / )-+-N (x^ddy" 



-j"ddx") — o. 



Praeterea ad flexuram vtramque eft refpiciendum ; 

 cum igitur in B fit inflexio fadta per angulum 

 ^.]x— X in C ve»o per angulum v— jjl, fiquidem in 

 ftatu naturali puncla A, B, C, D in dire&um ia- 

 ceant , ponatur momentum elafticitatis inBzrE^fin. 

 (|x — X) et in C = F/fm.(v-jji). 



Hinc pro flexura B ex altera totius corporis parte 

 AB nafcitur virium requifitarum momentum , ob 

 TzzA'4-acof.X et V ^j-^-a&n.h ita expreffum 



Llldcfk 



