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

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

Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary

भास्कराचार्य द्वितीय द्वारा

DevanagariHindipublished573 पृष्ठ

पृष्ठ 408, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 408

388 Fig. 84 will be equal to (b × B) / 225 × (H sin ω) / R where B is the Bhogya- khanda of λ. To obtain the value of the above for a circle of radius R from a circle of radius b, we have to multiply by R/b. So, the result is (b × B) / 225 × (H sin ω) / R × R / b = (B H sin ω) / 225 . But the value of B is got as follows. 'If for H cos λ equal to R we have the first Bhogyakhanda equal to 225, what shall we have for H cos λ?' The result is (225 × H cos λ) / R . Substituting for B, we have (H sin ω) / 225 × (225 × H cos λ) / R = (H sin ω × H cos λ) / R Now, on account of declination, the Sun's disc is inclined like an umbrella. So LM of fig. 84 will take a position like L'M as shown in fig. 85 where the triangle MLL' is similar to SMO, S being the centre of the Sun's disc, O the centre of the sphere. Hence (L'M) / LM = R / (H cos δ) ∴ L'M = R / (H cos δ) × (H sin ω H cos λ) / R = (H sin ω × H cos λ) / (H cos δ) as got before '.