OpuscutAi 
lianc {uhRkutlonem denominator novat fra6:ionis confor- 
matus eric ad hoc exemplar a*** H- -f- l^l^xx -h ammx -H 
m'' ^ nempe coefficiens fecundi termini dudum in radicem 
quadratam \i\x.\mi termini adacquabit coefficiens termini pe- 
iiultimi . Advertendum hh non fignificare hoc loco quantum , 
quod eodem charadere exprefium erat in prscedenti for- 
muia denominatoris y -f- -f- c^j,^- ^2^^, led pofitam elTe 
hanc fpeciem hh ad indicandum coefficiens termini medii 
formae x'' + ax^ -f- hhxx -4- ammx -f- m^ , quod in ipft 
fuhftitutione emerget . Poliquam denommator integrandae 
fradionis ad hunc typum eft conformatus, /i quidem quan. 
tum \aa -\- imm — hh pofitivum /ic, dividetur denominator 
ipfe in duo trinomia realia 
scx -f- \ax — xyj imm -f- %aa — hh -f- mm , & 
XX -f- \ax + imm \aa — hh -f- m-m , 
vocamus iam P, & Q^. At ubi fit imm~\-^aa — h^ 
quantum negativum , denominator x^ -f- ax^ -f- hhxx -f- 
mimx + ^ dividetur in duo trinomia realia , quoium 
unius coefficiens termJni intermedii eric 
—1 
^^aa-.imm~.ihh -\-\/im'^-h — ^aamm -hihhmm-^ 
& ultimus terminus erit 
^hh — imm \/ \m'' -f- ^ — %aamm -f- ihhmm 
^ay ^ — imm — =• %hh -\- \^ im^ ~^ Te^^ — \aamm — ^h 
' ^'hmm 
y/hh— zmm - ^aa^^ -aa-^fmm-^^hh -f- v^^?;^'* -+- b'^ - aamm -h ihhmm ^ 
1 
alterius autem trinomii coefficiens termini intermedii eric 
ia-~\- 2 ^/^ aa — ^mm — ibh -\~ \/im* -f- ^ h'^ — iaamm -hihhmm , 
& ul- 
