#/§ ) 105 ( $&- 



Cafiis primus. 



qno p ±z X x -+- p.. 

 §. tf. Hine igitur erit 



V /*__£_£. — r _j^ (** 



•^ J (\x -h n)* X(Xk -+- fx) ~ r ~ "*" 



■quac conftans C cum ita debeat fumi, vt pofito jt — o fi* 

 at etiam Xno, erit X^ -^^^ l vnde fafto # — a 



erit A _ , . "' , , ficque Sd^J&il-ilk, Torro pro 



fx i,A a -+- fx) ' ~ A « <A x -+-/x) * _T 



craflitie, quoniam ddp — o, habebimus 



f. ., c* k. i i -n 7t fx fi 'X a •+- fx)» 



a a (A .c -t- /X;+ 



Vt igitur hinc numerum i excludamus, ftatuamus iikzzf 

 \t fit k~f., eritque 



u u — c % f wjTjxjx ( X a - f - fxP 

 — •/' a a (X"jc -+- fx)+ ' 



Hine tempus vnius vibrationis fiet * V £- et fonus ipfe r g^" 



§. 7. Quia innenimus 

 uu — c 3 f. *^f &JL+i£ 



./ a a (A * -+- fx)+ 



in ipfo termino A, vbi jr=o, erit ctaflities = c* f. *£J^y*>y 

 in altero vero termino, vbi jf n: a 9 ea erit ^V^!^»» 

 Intra hos autem terminos craflities Variatur in ratione re- 

 ciproca quadruplicata formulae X x -f- >*•• Hinc igirur 

 quantitates conftantes X et jjl ita accipi poflunt, vt in vfroque 

 termino A et B chorda datam obtineat craflitiem. Veluti 

 fi in termino A craflrties ponatur — aa, pro altero vero 

 termino B~ (3(3, quantitates X et »ji fequenti modo de- 

 terminabuntur. Ponamus breuitatis g-ratia tf*/*-j=:ef , vt 



^tfa A«r</. Imp. Sc. Tem. IV. P. 11. O fiat 



