An elementary treatise on the differential calculus, in which the method of limits is exclusively made use of, by the Rev. M. O'Brien.

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22. The equation of a curve being y6-9y4+26y2=24(l -X)9
it is required to trace it. See the Diagram, just referred to,
inverted.
23. Trace the curve defined by the equation ix2y=a2 (vx-y).
See the Diagram of page (287).
24. Describe the ellipse whose equation is
y2 - 2y+ $3x2 10 + 12 =0.
See the Diagram of page (291).
25. Trace the rectangular hyperbola whose equation is
xy=a (x + y). See the first Diagram of page (289) with
a new origin and parallel axes.
26. The equation of a curve being y2 (1 + i) = x2 (1 - x),
it is required to trace it. See the second Diagram of page
(289) reversed.
27. If the equation of a curve be x4- a2 + a2y2 =0, it
is required to trace it. See the Diagram of page (294).
28. The equation of a curve being (y2+ X2)2= 2a2 (y2_ X2),
it is required to trace it. See the Diagram, just referred to,
with axes interchanged.
29. Trace the curve whose equation is (y - 2)2= x (x - 1)2.
See the Diagram of page (317).
30. Trace the curve defined by the equation
a(y -b)2 =(-2a) ( - a)2
See the Diagram just referred to.
31. Find the form of the curve whose equation is
a3y +x (b + x)3 - 0.
See the Diagram of page (348) inverted.
32. Describe the curve whose equation is a'3y = (b + x)3.
See the Diagram, just referred to, reversed.
33. Trace the curve belonging to the equation
a'x =y (y-b)3
See the Diagram, last referred to, with its axes interchanged.