Full text: From Aristarchus to Diophantus (Volume 2)

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.
	        
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