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2. THIS equation, in different angles,
is as the content under the ſine comple-
ment and the cube of the ſine. For the
triangle OKF, is as the rectangle of the
ſine and the ſine complement.
3. IT is at a maximum, at an angle
whole ſine complement is to the radius,
as the ſquare of the greater axis is to the
ſum of the ſquares of the two axes;
which in orbits nearly circular, is about
60 degrees of mean anomaly.
4. IN orbits of different eccentricities,
it increaſes in the quadruplicate propor-
tion of the eccentricity.
5. IT obſerves the contrary ſigns to
that for the elliptic equant, called Bul-
lialdus's equation ; ſubducting from the
mean motion in the firſt and third qua-
drants, and adding in the ſecond and
fourth, if the motion is reckoned from
the aphelion.
THE uſe of theſe equations, in find-
ing the place of a planet from the upper
focus, will appear from the following
rules, which are eaſily proved from
what has been ſaid.
LET t be equal to CA the ſemi-
tranſverſe, c equal to FC the diſtance of
the center from the focus, b equal to
CD the ſemi-conjugate, and R an
angle ſubtended by an arch equal to the