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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 227, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 227

. 207
increasing from zero to 45 degrees and then decreasing
from 45° to 90°; assuming the value zero at 90°, then
negative in the second quadrant negatively increasing from
zero to a maximum as l increases from 90° to 135°, and
then negatively decreasing from the maximum value to
zero at the end of the second quadrant ; again behaving in
the 3rd quadrant as in the first and in the fourth as in the
second.
(6) It was stated by Mr. Mazumdar in his introduction
to the Siddhānta S'ekhara of S'ripati published by the
Calcutta University as well as by pandit Babuaji Misra,
the editor thereof that this Udayāntara correction was
first mentioned by S'ripati, and it meant equation of time
due to obliquity. In fact S'ripati states (Verse I ch. eleven)
“ अन्त्यभ्रमेण गुणिता रविबाहुजीवाऽभीष्टभ्रमेण विहृता, फलकार्मुकेण,
बाहोः कलासु रहितास्ववशेषकं ते, यातासवो युग्मयुजोः पदयोः धनर्णम् ”
l expressed in minutes — H sin⁻¹ (H sin ☉ H cos ω / H cos δ) express-
ed in asus = what are called elapsed asus and are +ve,
+ve, +ve and —ve in the successive quadrants. We saw
before that H sin α = (H sin ☉ H cos ω / H cos δ) so that S'ripati
meant l - α, the former expressed in minutes of arc and
the latter in asus, or what is the same (l—α) both expressed
in minutes or asus. These give the gain of l over α.
Immediately after this verse S'ripati goes to a different
topic, and never mentions (as understood from the printed
text) any further details as to what is to be done with
these Yātāsus. Since Bhāskara says explicitly that for
these Yātāsus, the planets are to be corrected, we may
surmise that there should have been in S'ripati's text also
another verse detailing the usage of those asus.
(7) We shall now attend to what Bhāskara gives by
way of explanation of the verses in question, The Ahar-