4S DE REDVCTIO NE 



exiftcnte y ~ v (>-+- ' § z z) > ^um "vero ex cafu II. 



/- , ^/ h-t-kzz . ft_ -pr fjk — gh ,V(fc-4-fez2) ^ -yfe-f-gft .. 



hincque 



Integratio cafus I. 



f{f—gk) ^ gh , z^fg - \ fgh-, 



ghigb ^^ J k^^~ y/{j.^-gzz} Lf k\ 

 , / ri ^^— g ^ / Vi^^-f-fe z z) , . r -/^-^gft -5 



-t-v(/fe-g'j^^ £/i) l vo -i>L g6 J 



Coroll. 2, 



92. Hic metnbrum medium per inueifionem s\- 

 lipfis abit in 



(/fe-gfc) n ^-V T - ^— u -^-h 



vnde fi ^ negatiue capiatur pro cafii V manifefto fit 

 pro hyperbola. At fumto g negatiuo , erit vitimum 

 membrum ex cafu III. 



jazvj^^g^^^ gb '^ g- '■hk+ghK^-''^*^ s )ljk+gh J 



. , b ^ Jfe-t-gfc , V(/— ggg) .. r- lk-t-gb -, 



— -^V(/* + g^;'^ g 't' (.1— ■ 77 ;L fift J 



vnde deducitur 



Integratio cafus V. 



r^r, V ^-r^^« _ > (/fe-Hgfc) ^y b^ 



fe z z 



gZ 2 



, (ffe-Hgfo) Ti / fe /- y/ , sr rZ*' 1 



^ kV/fc ^^ g/» WU-gz^z)-"^ ''L g/j J 



_i / 1-1-'^*+ g* , Vj/-gZZ)w/fe + g^-, 



^'vijfe+gfci^^ g/j ^*- v/ JL~g* J' 



Coroll. 



