RESPONSIO AD QUAESTIONSM MATII2MAT1€AM. 



SS 



cum nunc sit 



•^ D + ^ iJ + ^ D + ' = ° 



,A ,B , ,C . 



vel -^ - = ^^ + .-+ I 



substitutione facta pro 



B _ y'A _ z"C. i_ 



D ■" y"D y"D y" 



,A .x"y'\ y'^"C y' , ,C 



D 



y"D y"D 



et substiiutione facta pro — habebimus tandem 



A _ z'y" — z'i" A- z"i"' — z"'^' A- z"'V — !'"y" 



D ~ x'y"z'" — x'y"'z" -j- x"f'z' — x"y'z'" -f- x"'y'z" — x'"y"z' 



— z'(,y"~ y "') + ^^Ct'" — ■v') + z'"(iy '—y") 



~ *'cyv"— y"o + *"0"'^'-yo + «'"(/■^"-j"-^'-»* 



Eodem modo etiam invenitur — nam ex aequationibus 



* D + 5d + ^D + '=° *D+^D + ^D+'-* 



habemus 



C _ _ ^ _ y^B L — _ •'"I^ _ ^'"'- ^ 



D 2"D z"0 z" ~ a"'D 2''D «"' 



B _ A (a"^'" — ^'"a") + z' " — x" _ 



y^" - :y"2'" "~ 



2' Cj" - ro+^" cj'" - j') + 2'" c^' -y ) N fx" ^'"-^'" '" • 



ergo j3 = j^ 



/ _ _ 2-(j-— j' -j-f-2- (,j--y; -t-z"'(y— y') \ /jc" 2'"-a,"'g" N , ^ — ? . 



V;i'6"i"'-y"2") + *"(y"2'-j'a"')+;c"''(/2"-/'2';/' \y'"z" ~y"z"' )^ y"-x"~y"^" 

 _ a:':;'' — x'z'" + ^"a'" — ;c"y + j;"-^ ' — «"'z" 



■" ^'c:)'''^"'"^^'!")^ *"(y"2'"— j^i^^y+^^^X^y^^s"— j"-') 



x' (z" — z'") + x" (z'" — z') + x'"Cz'— z") 



- 7"(j"2"— /"2") + ;<;"(j"'2'-/2"') + *'"(j'2"-j"4'; 

 Restat adhuc ^ , quod deducitur ex aequatione 



* rc + J n + 2 ri + I = o. 



D 



D 



D 



C X* A 'vTi I 



nam est p- = — - — -'-tf; — -? > et' substitutione facta 

 D 2 D zu z 



B 3 



