सामग्री पर जाएँ
सर्वकोश
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 291, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 291

271
Fig. 49
Comm. This too exhibits Bhāskara's genius. (Ref.
fig. 49). Let MQR₂ be the equator whose pole is p. Let
T₁ S₁ Z S₂ T₂ be the circle of azimuth a (Hindu azimuth).
Let SS₁ S₂ be the diurnal circle of the Sun cutting the
above circle of azimuth at S₁ and S₂, so that ZS₁ and ZS₂
are the two solutions giving the two zenith-distances
which give two shadows in the given direction. H sin MS
= Agrā ; evidently MẐS > MẐS₁ ie. H sin a < Agrā as
stipulated. ZT₁ and ZT₂ give the zenith-distances in the
given direction when the Sun is on the equator. S₁ T₁
and S₂ T₂ are the decrements in the zenith-distances on
account of declination δ (= S₂ R₂ or S₁ R₁). If MẐS₁ were
greater than MẐS ie. if H sin a > Agrā, we would have
lost the position S₁ ie. we would have had only one shadow