FREE BOOKS

Author's List




PREV.   NEXT  
|<   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   >>  
ivided further into 30 parts, which are the 12 signs of the zodiac and the individual degrees of the signs of distance of the sun and the moon from the head of the dragon. In the second circle is read the latitude of the moon, measured by degrees, etc., on a trigonometric scale, by signs and degrees of distance of the moon from its nodes, that is, from the head or tail of the dragon. When the second index is descending from the head of the dragon to the tail, the latitude will be to the north of the solar path; that is, the ecliptic. On the other hand, it will be south of the ecliptic when the same index is returning upward from the tail to the head of the dragon as advised by the title inscribed on the third circle. Finally, on the fourth and last circle are seen more prime minutes of the circle for reducing the orbit of the moon to the ecliptic. That the true longitude of the moon may be obtained more accurately, these must be subtracted from the longitude of the moon already calculated in the first and third quadrant of the circle of the second index. On the other hand, they are to be added to the same in the second and fourth quadrant, as is noted in their respective places, according to the theory of right ascensions. Here, then, [you have] as finally completed, delineation of the great index which was partially described before in this book. From two points of that index which perpendicularly correspond to the center of these circles, a pair of compasses, by an unvaried aperture up to the circumference of the first larger circle, has marked off four segments of a circle. The two larger segments, equal among themselves, in one aperture refer to the sun, and the two smaller in the other, likewise equal, refer to the moon. The one pointer is for determining the solar eclipses; the other, for lunar. Both segments of each division, like little wings of the index, stretch to the extent of the degree of distance of the moon from its nodes, and to which that determined latitude corresponds. On one side, that latitude precisely equals the radii of the earth, the sun, and the moon, as the termini of solar eclipses; and, on the other side, precisely equals the radii of the earth's shadow and of the moon, as the confines of lunar eclipses. The apexes of the last index, diametrically limited [opposite], indicate the age of the moon, and its mean distance from the sun; one pointer, upon which the sun sits, measuring the
PREV.   NEXT  
|<   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   >>  



Top keywords:
circle
 
dragon
 
latitude
 

distance

 

ecliptic

 
segments
 
degrees
 

eclipses

 

fourth

 

pointer


longitude

 
aperture
 

larger

 

quadrant

 
equals
 

precisely

 

measured

 

likewise

 

zodiac

 

determining


individual

 

smaller

 

unvaried

 

compasses

 

circles

 
circumference
 
marked
 

trigonometric

 
diametrically
 

limited


apexes

 

confines

 

shadow

 

opposite

 

measuring

 
termini
 

ivided

 

stretch

 

extent

 

center


degree

 

determined

 
corresponds
 

division

 

perpendicularly

 
obtained
 
accurately
 

subtracted

 

descending

 
calculated