सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)
Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary
भास्कराचार्य द्वितीय द्वारा
पृष्ठ 438, कुल 573 में से
संदर्भ में पढ़ेंcentric conjunction and which does not show an apparent
conjunction when there is a geocentric conjunction. In
other words parallax in latitude plays a very important part
in solar eclipses. Also ☉ D being the parallax in longitude,
the moment of apparent conjunction might be preceded or
followed by a geocentric conjunction according as the Sun
lies along VA or AV. Thus having determined the exact
moment of apparent conjunction using the magnitude of
☉ D, then we have to rectify the latitude using the
magnitude of VB. If that rectified latitude of β falls
short of R+r where R is the angular radius of the Sun and
r that of the Moon, then there will be a solar eclipse.
It will be noted that when the Sun coincides with V
at the moment of conjunction, there is no parallax in
longitude ☉ D being zero (Fig. 92) in that position. Also
there will be no parallax in latitude when the Ecliptic
assumes the position of a vertical circle passing through
the zenith, the Drik-lambana then being entirely along
the Ecliptic. In this case the Vitribhalagna V will
coincide with Z and (4 H sin V ☉) / R which is termed the
Madhyamalambana is now entirely along the Ecliptic and
as such it is the Sphutalambana in this case. We have said
above that when V coincides with Z, the Madhyamalambana
is zero at Z, and that the maximum is equal to 4 nādīs on
the horizon. In between Z and the horizon it has the formula
(4 H sin V ☉) / R . Noting further that in this case when
the H cosine of the zenith-distance of V ie. the Śanku of
V is R, the entire lambana is along the Ecliptic, the nāti
being zero, and the Madhyamalambana is itself the Sphuta-
lambana, and again when V does not coincide with Z,
H cos ZV is no longer R but has assumed Kōti-Rūpa ie.
the form of a H cosine, as well as the Sphuta-lambana
also, which assumes Kōti-Rūpa ie. of the form ☉ D of
Fig. 92, where ☉ C is the Madhyamalambana, ☉ D is the