पञ्चसिद्धान्तिका (आचार्य वराहमिहिर - सूर्य, रोमक, पौलिश, वासिष्ठ एवं पितामह सिद्धान्त)

170 PAÑCASIDDHĀNTIKĀ VI.13
The Moon's circumference = 17' × 44/7 = 107'.
The bending of the direction due to latitude = (107'/4) × 20 × 83 ÷ 8100
= 5½ minutes of arc.
As Moon is east of the meridian, the equatorial east point is bent 5½' north of the east point of
the place, i.e. the east point of the place is situated south by 5½ minutes-length.
At the time of last contact, the Moon is 49° east of the meridian. The bending of the point of last
contact at the western limb of the Moon =(107/4) × 20 × 49/8100 = 3.2', southward, as the Moon
is east of the meridian, i.e. the west point of the place is 3½ minutes-length north of the equatorial
west point.
(v) We shall show all these graphically in Fig. 7. The latitude to be used in the figure is the
corrected latitude = 10° × 380' ÷ 90 = 42'N.
[चित्र: Fig. VI. 7]
Moon's orbit, Eclipse circle M', M
Moon's counterpart to mark directions
West point as seen from place at last contact
W, Ecliptic, E
Total eclipse circle
Position of last contact, Position of first contact
East point as seen from place at first contact
Fig. VI. 7
M, M', are the points of first and last contacts. MM' = duration in minutes of arc. MM' = 3".6 by
measurement, = 3.6 × 20' = 72'.
From this, the time of duration = 72 × 60 ÷ 780 = nā. 5-32.