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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 152, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 152

132
generally a small quantity M₂N₂ is taken to be equal to
PN₁. If, however, this approximation is not made, PN₁=
(M₁N₂ × E₁P) / (E₁ M₂) (by the similarity of the triangles E₁ PN₁ and
E₁ M₂ N₂) so that the actual equation of centre is (r / R) H sin
E₂ × (R / K) = (r / R) H Sin E₂ where K = Mandakarna E₁ M₂. As
M₂ moves from A₂ to P₂, the equation of centre as given by
(1) gradually increases from Zero to a maximum r when
E₂ = 90° and decreases from this maximum to Zero when
E₂ = 180°. Thus from what was noticed from the tabulated
differences between the computed mean positions and
observed true positions, the fact that those differences
vanish at A₂ as well as P₂ the diametrically opposite point
of the Mandoccha (not called Sīghroccha, for this word
Sīghroccha will be seen to have altogether a different
connotation) was verified. The maximum