[ 110 ] 
rabolieal Partsi as alfo of an Oval on the contrary 
Side the Afymptote or principal Abfcifs. And this 
is one of the Species omitted by Sir Ifaac and Mr; 
Sterling, which is really the 59th Species. 
IV. Alfo if the E- 
quation bx^ -\-cx-\^d 
=0, has two equal ne- 
gative Roots and 
At:', the Curve given 
by the Equation xyy 
’='-^bx-\- cx-^d, will 
conlift of two Hyper- 
bolo-parabolical Parts, 
and alfo of a Conjugate 
Point on the contrary Side the Afymptote or prin- 
cipal Ordinate : And this is the other Species of thefe 
Curves omitted by Sir Ifaac and Mr. Sterling, which 
is really the 60th Species. 
V. Ifthe Roots of theEquation — 
are real, and unequal, having both the Sign -f- ; the 
Curve given by the Equation xyy — bx'^—~cx-\-d, 
will (as they fay) confift of a conchoidal Hyperbola 
and a Parabola, on the fame Side the Afymptote or 
principal Ordinate. See Fig. the ypth in Newton j 
and this is really the 6ift Species. 
VI. Ifthe Roots of tht'E<\\x'SX\oQ.b x^-^cx d—o, 
have contrary Signs, the Equation xyy = bx^ ;j^cx ‘ — d, 
will (as they fay) give a conchoidal Hyperbola with a 
^Parabola on the contrary Side the Afymptote or prin- 
cipal Ordinate. See Fig. the 60th in Newton j and 
this is really the 6zd Species. I remain 
Tour humble Servant, 
Edmund Stone. 
VII. An 
