De MicnOMETRis 3g3 



et pro valnre maximo M,'m = «— j, 



(M) ^lm~——h 



1 u lang. t 



$. i5. Ponatiir chorda AB (Fig. 2) circa A obvolvi , se- 

 cum iralicns filiim in plainim ar,j, dcscriI)cndo arjgulum ip- 

 suit paiiter n)ol)ilcs axes AX, AY. Si liisce, jioiiiis qiiam 

 diiol)ii6 aliis axiljus AX', AY' (quorum alter verticalis, Iio- 

 rizontalis alter), curva referri velit, jiixta quam filum sese 

 coribtituet novo ejus iitii , servalis denominationibns, et consi- 

 deratioiiiljus §. 8, el posito, quod vires y, et snam non im- 

 uiutaverint directioncm ad axes mobiles AX, AY, facienl ad 

 rem uostram aequationes (§. 8) 



X r= x' COS. (p •4-j'' tang, (p, 

 y =^y' COS. (p — x' sin. (p; 



qiiod si advcrtalur, constantes a et a abire in a ,a' (5.10), 

 consoctaria praecedentia in haec sese couverlenl 



(N) J' = «• - v^o^^rnrr v, . ^^'^'^^-n 



(O) 



n' {la' —n') 



~ '2 m' 



(P) M' m' '=u'~y = lang. ((p 4- .). ^ _ a' ^_ Va'.' -2 a' x , 



cbordam et curvam fdi axibus fixis AX', AY' referendo Pro 

 valore auiem maximo M' m" 



(Q) y = a'2taDg.if- £ 



lang. £ ' 



tang, f ' 



a 



(S) M' ,»" =tl^IllJ±±A=Z^. atau<^ 



(T) M'm'=i,_y=3,ang. f.x— a'4_V'a2_2a'x 



Dro'JirW m;'J"'"'^° ''^ '"' "^°^''^^ ^X' AY. Ac denuo 

 pto i>i m maximo 



(U) M-m'=:--"°g-^Z-iL'. 



2 a tang, e 



§. i6. Censuimu« hucusgue planum curvae fili ( qnod sem- 



