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

419 Kōti = Sphuta-lambana, and DC = Bhuja = Nāti, it is argued that the Sphuta-lambana is proportional to H cos ZV, assuming a maximum value when V coincides with Z (☉ not being at Z). Verses 3 and 4. Parallax in longitude based on two proportions. Compute the H cosine of ZV, by calculating the rising time of AV, the Kujyā, Dyujyā and Antyā pertain- ing to V, as was formulated in the Tripraśnādhikāra, then H sin V☉, multiplied by 4 and divided by R, and again multiplied by H cos ZV and divided by R again gives the parallax in longitude. Comm. As per the above formula, parallax in longi- tude equal to ☉D of Fig. 92 is equal to (4 H sin V☉ × H cos ZV) / R² . This is evidently derived out of two proportions that the parallax in longitude is proportional to H sin V☉ as well as H cos ZV. This we have already derived through modern methods as formula IV. Under verse 2. The two proportions are (1) V coin- ciding with Z, if by H sin V☉ equal to R, we have 4 nādis as the maximum lambana on the horizon, what shall we have by an arbitrary H sin V☉? The result is (4 H sin V☉) / R and (2) V not coinciding with Z, if by H cos ZV equal to R we have (4 H sin V☉) / R as the Madhyamalambana, what shall we have for an arbitrary H cos ZV? The result is (4 H sin V☉) / R × (H cos ZV) / R as formulated. First half of verse 5. Alternate method of rectifying lambana. The Madhyamalambana multiplied by 12 and