— 43S — 



unde sequitur , terminum constantem abscissae x, quem supra 

 (§.8.) 9ft appellavimus, quemque hic (§. 14.) posuimus = «, esse 



~~" 3X ($• ^v' e * a — 3X* unde nascitur aequatio : 



1) o ==-*-& + 3 A* — «(1)4-/3(3) H- y (3) 4- v (4.) 4- * (5). 



§. 16. Eodem modo reperitur coefficiens cos o.p in ae- 

 quatione I (|. i3.) sive 



9K = — « (6) -t- /3 ( 1 ) — /3 (3) — y (2) — v (5) — * (4) -f c, 

 et coefficicns sin 2/? in aequatione II, sive 



M=— «(8)— /3(5)4-7(4) — v(p) — v(ii)-4-tt(io) — b. 



Quare quum hic sit (§. 8.) &>=2p, ideoque y t ~ fx = 2m (5. 2.), 

 sequitur, coefficientes cos 2p et sin 2p in coordinatis x et y, quos 

 supra 9fl, N, hic autem /3, y, nuncupavimus (§. 8. i4-)> esse 



—*-M — m M m-4-1 



Sfl = p= — etN = K-= (3. 



X — 2 — 4m 2 4m 2 m 



Nanciscimur itaque has binas aequationes : 



/3 m (a — 2 — 4 m 2 ) = M -4- m (M — 3tt) et 

 4 m' v = M — 4 /3 m (m 4- 1), h. e. 



2) o = 6+ « (8)-t- /3 (5) — y (4)+ v (9) H-v (11) — w (10) 

 H-^[cH-b-h«((8)-(6))H-/3((i)-(3)-r-(5))-y((2)-t-(4)) 

 -+■ » ((9) H- (»5— (5)) — * ((4) H- (10))] -+-&» (a- 2 -4m e ), 



3) o = 4- &-+>« (8) -4-/3 [(5) +4m (m+i)] — y (4) 



■+• V [(9) + (") + 4^ 2 ] — 7T (10). 



$. 17. Est denique coefficiens cos 4p in aequatione I, seu 

 £9t = — u (7) — /3 (2) -+- y (1) -4- v (4) — d, 

 et coefficiens sin 4p in aequatione II, vel 



M = — « (12) — /3 (4) -f- v (10) — 7T (g) — c. 



