«»§4| ) 100 ( g-G^- 



qui termini ad eundcm denominatorcm reducti, omifTb fcilicet 

 tcrmino w', ita fe habcbunt li^Cirr^Ii^±^i=i±i!» 



' U)(6 C )• (O — J) 



Pro hiiius autcm fractionis numeratore obferuafle hiuabit 

 hanc quantatem : 



(b-c-h.<a)(b-d+-uy-(l>-c)(b-d) 



fumta littera b variabili, pofitoque db~u, aequari diffcrcntiali 

 produifti (b — c){b — d), fiue eife—d^b — c)(b—ii). At vero 

 actu differentiando fumta b variabili et db — & erit 



d(b-c\b-d)~<s>(b-d'-\-u(b-c) — u(zb-c-d), ita vt fit 

 (b-c) (b-d) - (b-c+u) (b-d+u) —- _ f»^- ff-rfj. 

 Vi huius obferuationis erit 



» -+- 4 = "" fic-^ir " Porro eiit 



_« i & 6 -4-co 6 



a ~"~ 95 ulJ—^c+wJti-d + u] ' toji — cjts — d) 



(?>.+._ ) ( 6 — c)(6-— _ d) — 6( 6 — e -HuK t i — d-+- _) 

 „(& — c)*(6_ d)" 5 



Cum igitur ex praeccdentibus nouerimus effe 



(b-c+u) (b-d+<a)~ (b-c) (b-d) _= d. (b-c) (b-d) erit 



a , b — l ■( *6 — c — d )-+■(& — c)(6 — d) cd — 66 



Sl ~ S6" (6 — c ) 2 {b — d) 2 (6 — cf=(6_d)« 



irferen fief _-4- 6 i — L_±_i- bb ■ — 



reiuca uci a -t-~j — _ ( t _ c + u)( 6 __ .<-+-_) _(&-_ c)(*_. d) — 



(6-+-to )'(6-c)(& — d ) — 66( 6 — c -+-co) f 6 — d-+-cu) g 6cd — 66 ( c -+-d ) 



w(6— .c) 1 ^ — d) J (&-c)- (6_d) x 



Denique habebimus |! -+- g- _= i*--«-"> 3 



co( 6 — c-+-oj) (6 — d-+-u) 



6* (6-+-u) ) s (6-c )(6-d) — 63( 6-r-f- u)(6 — d-+-to) /;,,_ 



v-r-n a i / i - \ i / i. 7T3 11 uc 



„(6 — c)(6 — d) (6_c)'{6 — d)* 



o3 _^ 63 66(66 — i6c— s6d-+-3cd) 



Sl ' 03 (T~~c)*76-d)* 



§. 15. Confiderentur nunc etiam litterae _ et ©, in qui- 

 bus ftatim ponere licet a~b, et cum idcirco fint 



H—(c-b)'(c-d) et <£ = (d-b)'(d-c), 

 prior illarum quatuor aequationum erit 



(76 — c— d) 1 1 _l_ 1 _— O 



(6 — c) : (6 — d)* ' (c_6) 2 (c — d)^(d — »■)'(_ — c) 



cuius vcrius itatim manifeita erit, fi i_ primo membro loco 



__i- 



