सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

460 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