सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)
Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary
भास्कराचार्य द्वितीय द्वारा
पृष्ठ 480, कुल 573 में से
संदर्भ में पढ़ें460
through which the number of minutes in AC could be
computed.
AB = AG sin AĜB =
(AG × H sin AĜB) / R = (β × Āyanavalanajyā) / R where AG = β.
In the formula given the word Āyanavalana is used for
Āyanavalanajyā ie. the Hindu sine of Āyanavalana for
brevity. Also, since generally the angle AĜB defined as
Āyanavalana happens to be small, its Hsine will be almost
equal to it. In this sense also the term Valana is used
where Valanajyā is to be used.
From AB we pass on to the magnitude of LM. From
Hindu spherical Trigonometry
LM = (AB × R) / (H cos AL) = (AB × R) / (H cos δ) = (β × Āyanavalanajyā) / R ×
R / (H cos δ) = (β × Āyanavalanajyā) / (H cos δ) . (H cos δ is called Dyujyā
which is connoted by the term Dyu-guna in the verse, the
words Jyā and Guna being synonymous).
Thus LM = (β × Āyanavalanajyā) / Dyu-guna
From LM we pass on to the corresponding arc of the
Ecliptic namely AC, which does not imply the latitude of
the place. So we have to use what are called Niraksha-
Udayas of Rāśis ie. the rising times of the Rāśis at
Equatorial places. Rule of three is used here to find AC
from LM. Locating the particular Rāśi in which the
planet is situated, and using the proportion. “If a Rāśi
of 30° ie. 1800′ of the Ecliptic rises at an Equatorial place
in say x asus, what arc in minutes corresponds to the
number of minutes or what is the same the number of Asus