raw' DK parallel
angle BKD, and
the circle.
re a < (3 <
Q. E. D.
treatise can be
xed, which have
•e A), the earth
eclipse. Fig. 1
vely to the earth’s
rehending the sun
re B along which
dividing circle in
the moon in the
. Fig. 2 shows
red the shadow;
iat of two moons
n touches BN at
of the arc ON.
diameter of the
ble cone with B
and the moon,
while Y, Z are the points in which the perpendicular through
A, the centre of the sun, to BA meets the cone enveloping the
sun and the earth.
X
This being
follows:
Prop. 13.
(1)
but
premised, the main results obtained are as
ON: (diam. of moon) <2:1
> 88:45.