(75) 



quamm integr^tloni iterumi non immorabimur. Vnicum tantum 

 adiiuc talem caflim attingamus. 



JiJ OijOt| 



i(:-- : IV. Cafus -^l 



GUO p =: I -h |3 i; --J -1- 5 "y* et 9 n: a i; H-yy^ 



§. td/ Hic igitur ent ' ' ~ '^ 



^ /) --f- ^ ^ — iH- ( a a H- 2 (3 ) T 17-4- ( p (3 H- 2 J -H 2 a y ) «y * 



' H-(2^5H-yy)^*-4-5J^'* et - ffi3l>-^i .Oi>"-' 

 p^ — a'y-+-.(a(3-+-y)'y^-i-(a5-Hpy)'u'-f-y5'y'', 

 cx quibus conficitur formula .naiowKi «laoiu • -nuo 



p p -\- q q — i/J^-yrzii-h^aa-l-^l^ — n. a") v v ■ 

 -h ( (3 p -}- 2"c«.^'-H- 25 — 2a(3 — 2y)a)* 

 H- (y y -h 2 (3-5'— •2'"pt 5 — 2 (3 y) i;' 

 -h (5 5— 2 y'.,5)'i;*, . 

 quae formula cum aequari debeathuic:. i -+-(««— i) «? ^», pri- 

 mo toUatiir potellas odaua, vnde fit 5 5 -^ ?; y *5 zz: o, ideoque 

 5 — 2 y. lam poteftas fexta afFicitur hac forma: ;-• 



yy-|--p5 — 2'a5 — 2 (3-y-iiz: yy-f- 2 (3 y — 4, a y,"" 

 quae nihilo aequata praebet y =: 4. a — 2 (3, hincqne 5=:8a — 4(3. 

 Porro autem potcftatis quartae coefficiens eft 



P(3-|-2ay-!-2 5 — 2ap — 2y=3 ' • ' ''^^^ " 



P(3 — <5a(3---4(3-l- 8aa-h8a = o 



quae aequatio diuifix pcr (3 — ^2a pracbet (3 — ^a — 4, ita Yt 

 pro (3 geminos nanci-caniur vaiores^ altcrum (3 rz: 2 a, aJtciuip 

 vcro (3.— 4- a -1-4, quorum vtrumque feorfim eupluamu>. ^-^^! 



§. iT. Sit igitur (3 = 2 a, eritque y — o.,et 5 — o, 

 quo crgo cafu res ad cafum fccundum rerohiitur. Sit igirur 



(3 n 4 a -t- 4, et nunc fict y rr — 4 (a -h 2) ct 5 = — 8 (a -+- 2) . 



K 2 Ve- 



