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Hayanaratna · by Balabhadra
Chapter 1 · Planets, Signs, Year Entry
ग्रहराशिस्वरूपवर्षप्रवेशाद्यानयनाधिकारः
तदन्तरं बीजसंज्ञब्रह्मगुप्तमकरंदमिश्रादिभिः स्वसत्तादिकाले लक्षयित्वा मुनिशास्त्रजनितेषु ग्रहेषु संस्कृतं तद्युक्तमेव ॥
That difference is called the bija (correction number). Brahmagupta, Makaranda Mishra and others found it in their own time. They applied it to the planets found from the sages' works. That is quite right.
Simple meaning: The correction number: later teachers measured the gap in their own time and added it to the sages' planets. That is right.
तथाच ब्रह्मसिद्धांते ॥
Brahma Siddhanta: measure the correction with instruments, then judge from the corrected planets.
अथ पञ्चाङ्गयंत्रादेव तात्कालिकीकरणेन स्पष्टग्रहानयनमुक्तं श्रीमन्नीलकण्ठदैवज्ञैः ।
Same verse as Tajika Nilakanthi 1.18; see its meaning there.
अथ पञ्चांगीयनक्षत्रादेव चंद्रस्पष्टीकरणमुक्तं तैरेव ॥
Moon from the almanac star: the part of the star passed (from the end of the last star to now) and the star's full span.