) H3 ( |f|<" 

 hincque porro differentiando 



AAP _ _ d P* X X x x — 2 X m- * '_^Xy — __u, p. 



Addatur 



__*_£*_ — XX3Cje-f-2X )aa:-+-)Lt)x 

 p p d x* (X;cx-f-2|A;c-f-0 2 



€t nancifcemur 



dd p Xv — mn, _ 



_t>d;c 2 (X3CSC-+-2 fAX-f-v )« • 



quam ob rem pro craflitie habebimus 



uu — c z ki "'*'"' Xv :±Ji^L ) 



V AAfXccjc-f-ip.x-t-v) 2 (X^3c-+-2)J.x-f- v) 2 /* 



Nunc igitur ponamus k(iiit 7r + (py.— /U) A A )_/", et ha- 

 foebimus u a~ AA(X;c3C c .+f 2 #*-+-v)* > ^ ua aequatione lex cratfi- 

 tiei per totam chordam exprimitur. Ponamus autem vt 

 ha&enu6 e ^4~ee, vt fiat : 



A A ' 



u u — r* ~ — r^2 > ideoque « - c — — 



§. 15. Quia hic habemus tres coefficientes X, jut. 

 et v, eos non folum ita definire licebit, vt in vtroque ter- 

 mino craffities datam obtineat magnitudinem; fed etiam 

 cfficere poterimus, vt chorda quoque in alio loco, veluti 

 piindto medio C, datam nancifcatur craffitiem. Statuamus igi- 

 tur craflitiem in termino A — aa-, in altero termino 

 B _; p (3 et in ipfo chnrdae medio C _:y y; hocque mo- 

 do prodibunt tres fequentes aequationes : 



e n e ' 



a — _ , p — ————— , y =_ r 



V "X^fl+2 JJLfl + K ' _^0tf4-/J.tf+J/\ 



vnde colligimus fequentes valores: 



l-Kaa-^^a- e -%^, hinc 

 4#a Acad. Imp. Sc. Tom. IV. P.ll P A = 



