CVRVAKVM ALGEBRAICAKVM. 153 



-formiila qiindmtume nunc inreruire ccmmode non poteft; 

 quLire altera cit adiiibenda quia 0(~ i j efl niimerus in- 

 ceger ; inueniuntiir \ero E ( ~ :^ )— — |: — i — |. F 



(--=:|i7-l>-|:-^==t=^^-^ Propter ^=-1, 

 qeare V (=:Ei\I-H-F ) — -E-f-F -HfEM— -^-H 

 ^, adcoque JydxJ-U-^V)-^-^-^ (vel pro^ 

 pter M — ^ ) z::: ~-^ — ^ ( propter x^=i c xxj—xj^) 



Exemplum 2- 



VI. Qiiacrltur area curuae j''- -^x^^Tiz^x^yy ; funt 

 ergo lioc cafu in aequatione generali ?;/:r «"4-, i"— 3 

 et rini^, ^ — — I, b—^ ^adeoquec.zr i,(3~— ^,y~i, 

 ^ — -Jr^item-viC — a-l-y)^^,^^^^-!-^) — -!,^ 

 (3:iy-f-<J)zi:i. Hinc A( -,-i-^)|, B ( = ^^,) 



^ -f- , C ( — ^f-T.b ) = -^ Tr 5 JD z:= , etc. adeoque 

 T( — AM=-{-BM-^C)-|MM-^'-l-^f (pro- 



pter M = a-^-T7j'«5-^7 - f ) — ( f j^-i:|^J' -\-\\c cxx) 

 .xji— % et N { — a-^-bU)—. {yy-cx) c-' x-' , ac 



denjquc Jy cix ( — N' T ) — 7- 



x^V [yy — cx)"^ 



rr|i7-4c_v.x;;-' H-4-|<;vA'V~"^ ^^ area quaefita, 



Exemplum 5. 



VII. Sit acquatio cumae quadrandae j' — ^A-->|- 

 hx'^y~^'^ , eiTent ergo m — :^ , n— 1,^—3 et r— -18; 

 T-c/ffi. VI. Bb item 



