I 
( <5j<5) 
■Xsi + l X^c. denominatoris in Prep.]. SchoL 
Deinde revocetur N umera to r ad fo rmam /i B z, -^Cz 
X z-\- i Dz>^ z -]-i Xz-\-z Turn appli- 
cando terminos ad Denominatorem novum z>^z-\- i 
xz, -\-x y. c^c. revocetur fradio ad hanc formam 
^ — - 4 - : JL- h= 
^ X ^ -f- * (3c. K~[' ^ ^ K "h i K (3c. 
+ X (3c Unde denique quseratur Inte- 
grale per &chel. Prop. I. 3. 
Ratio Solutionis per le facis eft manifefta. 
Scholium r. Hujus Solutionis tota difficultas latet in 
revocatione numeratoris ad formam requifitam, quod 
tamen quomodo fit faci endum uno e xe mplo patebit. 
Proponatur icaque fadlum ?X^ + 7 » quod 
ad formam propofitam fit revocandum. Terminos ita- 
que evolve gradatim ut fequitur. Faeftorem primum 
z-\-z fie feribo cujus terminum primum z 
duco in 3 unde fit 6j^\~zz>: Terminum fecundum z 
duco in z z. 1 f = z -j- 5) unde fit z ^ i. 
Dein fada in unam fummam colligendo, fit z -{-% 
x*^-l-3 =^ + ^+ * X '■+ ‘ = '5+4s + «ix 
Supereft ut hoc ducatur in & 7* Ttaqnc 
terminum primum 6 duco in .7 z. (= z. 4~ 7) unde 
fit qz 6 z; terminum fecundum 4 z, duco in 6 % 'j- i 
i~ z. -|- 7) unde fit 24 i?i 4 zx z i ; terminum 
tertium z. x z-f- 1 duco i n 5 -f - z-^ z ("— 2^-4- 7,) un- 
de fit ^ zx i z-j-z. Fadi s iraque 
in unum colledis ut prius, fitz.4-zxx z-'r^ 
rzr:4X-|-30Z.-|-92:,’«2i-|-I-|-Z.X!&-|-iX!&_^2. Ec 
ad eundem modum procedere licet in aliis cafibus. 
z, Sic 
