सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)
Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary
भास्कराचार्य द्वितीय द्वारा
पृष्ठ 445, कुल 573 में से
संदर्भ में पढ़ें425 pertaining to the formula H sin δ = (H sin λ × H sin 24) / R , (4/R) H cos ZV = Para = the H sine of the declination of that point whose longitude is equal to Vitribha-Sanku. In other words Para is termed as the Vitribha-Sanku- Rūpa-Krānti-Vṛttiya-Bhujajyājanita-Krāntijyā. Now take E₁ E₂ = Para defined above. Draw circles of equal radii with E₁ and E₂ as centres. Call (E₁) and (E₂) as the Chandra-Kakshāmandala and Ravi-Kaksha Mandala. Para by its formulation as (4/R) H cos ZV, is equal to the maximum parallax in longitude for a given H cos ZV ie. for a given position of V with respect to Z. This being so, the parallax in longitude for an arbitrary position of ☉ with respect to V will be [Para × H sin (☉ - v)] / R according to the previous formu- lation thereof. This form of the formula by its similarity with the formula (a/R) H sin m, pertaining to the eccentric- circle-theory, suggested to Bhāskara that the parallax in longitude could be derived from the theory of the eccen- trics or Prati-Vṛtta-Bhangi. In fig. 95, it will be noted that E₁, E₂ are not the centre of the Earth and the position of the observer on the surface of the Earth but such points as E₁ E₂ is made equal to (4/R) H cos ZV or (a/d) H cos ZV of the modern figure 4/R being equal to a/d, so that E₁ E₂ is of a variable magnitude varying with H cos ZV. Comm. When H cos ZV = R ie. when V coincides with Z, we have the maximum parallax. What then will 54