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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 266, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 266

246
Thus Sama-Śaṅku or S.S.
= (H sin δ × R) / (H sin φ) or (R sin δ) / (sin φ) (17).
Taddhṛti = R × (H sin δ) / (H sin φ) × R / (H cos φ) = (R sin δ) / (sin φ cos φ) (18).
Verse 21. Taddhṛti = (Karṇa × Agrajyā) / Bhuja
Comm. This pertains to the similarity between the
fourth latitudinal triangle and the others.
Latter half of Verse 21 and first half of Verse 22.
Sama-Śaṅku = (Taddhṛti × Koṭi) / Karṇa = (Agrajyā × Koṭi) / Bhuja
(Sama-Śaṅku × Bhuja) / Koṭi = Agrajyā.
Comm. The first statement is made out of the
similarity between the fourth lat. triangle and the others
whereas the second statement and the third as well are
made out of the similarity between the third and others.
II half of Verse 22. Sama - Śaṅku = Upper
segment of Taddhṛti × Karṇa / Koṭi
Comm. The similarity is between the fifth triangle
and others.
Verse 23. Kujyā = Krāntijyā × Bhuja/Koṭi
Upper segment of Taddhṛti = (Krāntijyā × Koṭi) / Bhuja and
Kujyā + Upper segment of Taddhṛti.
Comm. The first statement is through the similarity
of the third triangle with others, whereas the second is
through the similarity of the fifth with the others. The
third statement is clear from Fig. 21.