ब्राह्मस्फुटसिद्धान्त (ब्रह्मगुप्त - शून्य, कुट्टक, बीजगणित एवं सम्पूर्ण २१ अध्याय सान्वय सटीक)

MANUSCRIPTS OF THE BRAHMASPHUṬASIDDHĀNTA 61
Brāhmasphuṭasiddhānto Dhyānagrahopadeśādhyāyaśca or
Brāhmaphuṭasiddhānta and Dhyānagrahopadeśādhyāya by Brahma-
gupta (1902)¹
The manuscript of this small treatise was also mutilated,
and Dvivedī took special pains in editing it, and he revised the
calculations also incorporated in this treatise.
The small treatise, Dhyānagrahopadeśādhyāya must have
been composed prior to the Brāhmasphuṭasiddhānta, since we
find a verse in the last Chapter (the 24th Chapter also known as
the Sañjñādhyāya of the Brāhmasphuṭasiddhānta), verse 9, a
reference to this book :
How could this result be obtained in a simple way has been
shown by me in the Dhyānagrahopadeśādhyāya of 72 Āryā verses,
and therefore, it is not repeated here. BrSpSi. XXIV. 9)
In the Dhyanagrahopadeśādhyāya, we have a verse 61,
which is also found in the Khaṇḍakhādyaka (KK. I. 21) :
Navatithayaḥ (159) divided by aṣṭi (16), pañcarasāḥ (65)
divided by vasu (8), 10 divided by 3, each multiplied by the
equinoctial shadow are the (tabular differences of) ascensional
difference expressed in vināḍīs. (KK. I. 21; DhGr. 61)
This verse then indicates that the Dhyānagrahopadeśādhyāya
has been composed after the Khaṇḍakhādyaka. It may also be
possible that the Brāhmasphuṭasiddhānta and the Dhyānagraho-
padeśādhyāya were simultaneously written, and the above verse
(DhGr. 61) was repeated again in the Khaṇḍakhādyaka.
Sudhākara Dvivedī has taken the help from the commentary
of Pṛthūdaka Svāmī in the Chapters on Pāṭīgaṇita (Arithmetic),
and has quoted the examples from this commentary. At many
places he has corrected the readings which were mutilated in
manuscripts.

1. उपलब्धमूलपुस्तकत्रये पंचविंशतितमेऽध्याये वस्तुतो ब्रह्मगुप्तकृतो ध्यानग्रहोपदेशाध्यायो
   वर्त्ततेऽतो मयायं पृथक्त्वेन तन्नाम्ना मुद्रितः । अत्र बहुत्र स्खलितानि पदानि तानि गणितेन संशोध्य
   मुद्रितान्यपि सुधीभिर्भृशं विचिन्त्यानि ।
   अस्य सिद्धान्तस्य चतुर्विंशतितमेऽन्तिमे संज्ञाध्याये (पृ० ४०८)
   गणितेन फले सिद्धिर्ब्राह्मे ध्यानग्रहे यतोऽध्याये ।
   ध्यानग्रहो द्विसप्ततिरायां न लिखितोऽत्र मया ॥
   इति नवमश्लोकेन ध्यानग्रहोपदेशाध्यायस्य रचनेतरसिद्धान्तरचनातः पूर्वं विभाति परन्तु
   तत्राहर्गणसाधनप्रकारेण सिद्धान्तरचनाकाल एवास्य रचना सिध्यति तथा 'नवतथ्योष्टिविभक्ता' इत्यादि-
   पद्येन खण्डखाद्यरचनातः पश्चात् सिध्यति ।